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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2023.1266364</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Not another hillshade: alternatives which improve visualizations of bathymetric data</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Novak</surname>
<given-names>Ana</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2386814"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Poglajen</surname>
<given-names>Sa&#x161;o</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Vrabec</surname>
<given-names>Marko</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Geological Survey of Slovenia</institution>, <addr-line>Ljubljana</addr-line>, <country>Slovenia</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Sirio d.o.o.</institution>, <addr-line>Koper</addr-line>, <country>Slovenia</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Geology, Faculty of Natural Sciences and Engineering, University of Ljubljana</institution>, <addr-line>Ljubljana</addr-line>, <country>Slovenia</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Monica Giona Bucci, University of Malta, Malta</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Luis A. Conti, University of S&#xe3;o Paulo, Brazil; Vincent Lecours, Universit&#xe9; du Qu&#xe9;bec &#xe0; Chicoutimi, Canada</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Ana Novak, <email xlink:href="mailto:ana.novak@geo-zs.si">ana.novak@geo-zs.si</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>27</day>
<month>11</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1266364</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>11</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Novak, Poglajen and Vrabec</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Novak, Poglajen and Vrabec</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Increasing awareness of the importance of effective communication of scientific results and concepts, and the need for more accurate mapping and increased feature visibility led to the development of novel approaches to visualization of high-resolution elevation data. While new approaches have routinely been adopted for land elevation data, this does not seem to be the case for the offshore and submerged terrestrial realms. We test the suitability of algorithms provided by the freely-available and user-friendly Relief Visualization Toolbox (RVT) software package for visualizing bathymetric data. We examine the algorithms optimal for visualizing the general bathymetry of a study area, as well as for highlighting specific morphological shapes that are common on the sea-, lake- and riverbed. We show that these algorithms surpass the more conventional analytical hillshading in providing visualizations of bathymetric data richer in details, and foremost, providing a better overview of the morphological features of the studied areas. We demonstrate that the algorithms are efficient regardless of the source data type, depth range, resolution, geographic, and geological setting. The summary of our results and observations can serve as a reference for future users of RVT for displaying bathymetric data.</p>
</abstract>
<kwd-group>
<kwd>bathymetry</kwd>
<kwd>RVT</kwd>
<kwd>visualization</kwd>
<kwd>hillshade</kwd>
<kwd>geomorphology</kwd>
<kwd>marine geology</kwd>
<kwd>multibeam</kwd>
</kwd-group>
<contract-num rid="cn001">P1-0011, P1-0195, J1-1712, L1-5452</contract-num>
<contract-sponsor id="cn001">Javna Agencija za Raziskovalno Dejavnost RS<named-content content-type="fundref-id">10.13039/501100004329</named-content></contract-sponsor>
<counts>
<fig-count count="11"/>
<table-count count="3"/>
<equation-count count="0"/>
<ref-count count="121"/>
<page-count count="15"/>
<word-count count="6098"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Ocean Observation</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Advances in remote sensing technologies in recent decades have allowed an ever-increasing capability to monitor the Earth&#x2019;s surface - both onshore (<xref ref-type="bibr" rid="B26">Dr&#x103;gu&#x163; and Eisank, 2011</xref>; <xref ref-type="bibr" rid="B98">Tarolli, 2014</xref>; <xref ref-type="bibr" rid="B99">Telling et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B93">Sofia, 2020</xref>) and offshore (<xref ref-type="bibr" rid="B52">Lecours et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B43">Hughes Clarke, 2018</xref>; <xref ref-type="bibr" rid="B69">Micallef et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B116">W&#xf6;lfl et&#xa0;al., 2019</xref>). As a result, digital elevation models (hereafter DEMs) have become essential in geoscientific applications. Recent advances in computing and technology facilitate acquisition and processing of large quantities of elevation data and the creation of DEMs in increasingly higher resolutions (<xref ref-type="bibr" rid="B93">Sofia, 2020</xref> and references therein). While the most recent advancements are focused towards quantitative analyses of elevation data and machine learning (<xref ref-type="bibr" rid="B52">Lecours et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B66">Maxwell and Shobe, 2022</xref>), qualitative analyses are still very important in geomorphological, environmental, archaeological, geographical, and geological studies. In these studies, very often one of the first steps involves the preliminary visual inspection of elevation data which then dictates the selection of the study site and directly impacts the study results. In later stages, a clear visual representation of elevation data is essential for efficiently communicating the results, analyses, and interpretations to the reader. For these reasons, representative and intuitive visualization of elevation data plays an essential role in research- and application-driven studies.</p>
<p>The importance of representative visualization of the Earth&#x2019;s surface is even more pronounced in offshore (in this manuscript referring to marine, lacustrine and fluvial) environments where visual on-site inspection is rarely possible or very costly, and where the availability and resolution of bathymetric data is very limited compared to elevation data from onshore areas (<xref ref-type="bibr" rid="B111">Weatherall et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B67">Mayer et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B116">W&#xf6;lfl et&#xa0;al., 2019</xref>). Due to relatively costly acquisition, a great majority of high-resolution bathymetric data is obtained by multibeam sonar in near-shore areas, areas containing important economic resources and at sites intended for larger infrastructural development (<xref ref-type="bibr" rid="B67">Mayer et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B116">W&#xf6;lfl et&#xa0;al., 2019</xref>). Due to the relative scarcity of high-resolution offshore elevation data, it is of great importance to extract useful information from bathymetric data to the fullest.</p>
<p>Most commonly, elevation data and morphological features are visualized with the hillshading method in which the lightness or darkness of a surface is determined by the incidence angle between the illumination direction and the surface, resulting in an intuitive representation of the morphology of the Earth&#x2019;s surface (<xref ref-type="bibr" rid="B49">Kokalj et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B119">Zak&#x161;ek et&#xa0;al., 2011</xref>). Some recent publications displaying hillshaded bathymetric data include: <xref ref-type="bibr" rid="B59">Madricardo et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B11">Caporizzo et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B29">Fabbri et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B117">Wu et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B2">Aiello and Sacchi, 2022</xref>; <xref ref-type="bibr" rid="B53">Li et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B77">Piret et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B78">Post et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B80">Riddick et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B86">Sandwell et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B97">Streuff et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B120">Zheng et&#xa0;al., 2022</xref>. Despite the widespread use of the Hillshade, analytical hillshading has inherent limitations due to the directional bias induced by a single light source (<xref ref-type="bibr" rid="B75">Onorati et&#xa0;al., 1992</xref>; <xref ref-type="bibr" rid="B92">Smith and Clark, 2005</xref>; <xref ref-type="bibr" rid="B119">Zak&#x161;ek et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B48">Kokalj and Somrak, 2019</xref>). The two most common problems with hillshading are 1) that morphological features which are parallel to the light source are barely visible (sometimes even invisible), and 2) that directly lit/shaded features are too light/dark to exhibit subtle relief (<xref ref-type="bibr" rid="B119">Zak&#x161;ek et&#xa0;al., 2011</xref>). In order to partially mitigate these limitations, alternative visualizations of bathymetric data and morphological features are being used, among which Slope Gradient prevails by far (some more recent examples include: <xref ref-type="bibr" rid="B109">Walbridge et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B110">Watson et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B37">Georgiou et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B108">Verweirder et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B6">Berthod et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B51">Lebrec et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B61">Manstretta et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B79">Puga-Bernab&#xe9;u et&#xa0;al., 2022</xref>). With this method the colour of a surface depends on its steepness. Even though the Slope Gradient visualization is less intuitive than Hillshade (<xref ref-type="bibr" rid="B50">Kokalj et&#xa0;al., 2019</xref>), it is still widely used since it is included as a standard function in commonly used GIS software packages. Other visualizations of bathymetric data and morphological features are only used occasionally (<xref ref-type="bibr" rid="B62">Marple and Hurd, 2019</xref>; <xref ref-type="bibr" rid="B60">Majcher et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B121">Zhou et&#xa0;al., 2022</xref>) as they are rarely included in the analytical toolbox of GIS software solutions and require the use of various programming languages for their calculation.</p>
<p>In this paper we present a fresh approach to offshore mapping by exploring the different visualization algorithms provided by the freely available &#x201c;Relief Visualization Toolbox&#x201d; software package (hereafter RVT). We assess the suitability of RVT algorithms for visualizing bathymetric data in different settings, resolutions, and regions and try to identify the most suitable algorithms to highlight different natural (i.e. geological) and anthropogenic geomorphic sea-, lake- and riverbed features. To our knowledge, we provide the first summary of the suitability of RVT algorithms for highlighting submerged features. Finally, we try to convince the reader that there are user-friendly simple-to-use alternatives to the Analytical Hillshade that have great potential to more effectively display bathymetric data and allow users to more efficiently communicate their findings and ideas.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Software</title>
<p>The &#x201c;Relief Visualization Toolbox&#x201d; is a freely available software package which was developed by ZRC SAZU and the University of Ljubljana (<xref ref-type="bibr" rid="B49">Kokalj et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B119">Zak&#x161;ek et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B48">Kokalj and Somrak, 2019</xref>; <xref ref-type="bibr" rid="B50">Kokalj et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B84">RVT, 2023</xref>). It is compatible with the two most commonly used GIS software solutions and is frequently used in land applications. At the moment, RVT is available as a standalone executable (available at <ext-link ext-link-type="uri" xlink:href="https://www.zrc-sazu.si/en/rvt">https://www.zrc-sazu.si/en/rvt</ext-link>; last accessed: 22.6.2023), as a plugin for the QGIS GIS software, as a &#x201c;raster function&#x201d; for the ArcGIS Pro GIS software, and as a Python package (all three available at <ext-link ext-link-type="uri" xlink:href="https://rvt-py.readthedocs.io/">https://rvt-py.readthedocs.io/</ext-link>; last accessed: 22.6.2023). For this paper we created the visualizations by utilising the standalone executable, the RVT plugin for QGIS, and the RVT &#x201c;Raster function&#x201d; for ArcGIS.</p>
<p>In this work, we focus on the following visualization functions of the RVT Toolbox: &#x201c;Hillshade&#x201d; (hereafter HS), &#x201c;Hillshading from Multiple Directions&#x201d; (hereafter HSM), &#x201c;Principal Component Analysis of Hillshading&#x201d; (hereafter PCAHS), &#x201c;Simple Local Relief Model&#x201d; (hereafter SLRM), &#x201c;Multi-Scale Relief Model&#x201d; (hereafter MSRM; <xref ref-type="bibr" rid="B76">Orengo and Petrie, 2018</xref>), &#x201c;Sky-View Factor&#x201d; (hereafter SVF; <xref ref-type="bibr" rid="B119">Zak&#x161;ek et&#xa0;al., 2011</xref>), &#x201c;Anisotropic SVF&#x201d; (hereafter ASVF), &#x201c;Openness &#x2013; Negative&#x201d; &amp; &#x201c;Openness&#x2013; Positive&#x201d; (hereafter ONEG and OPOS; <xref ref-type="bibr" rid="B118">Yokoyama et&#xa0;al., 2002</xref>), and &#x201c;Local Dominance&#x201d; (hereafter LD). All the algorithms used to create the listed visualizations are described in detail in <xref ref-type="bibr" rid="B50">Kokalj et&#xa0;al. (2019)</xref> and in <xref ref-type="bibr" rid="B48">Kokalj and Somrak (2019)</xref>. These references also contain the basic guidelines for setting the algorithm parameters for the creation of individual visualizations. A very basic description of the algorithms is here summarised after <xref ref-type="bibr" rid="B50">Kokalj et&#xa0;al. (2019)</xref>; <xref ref-type="bibr" rid="B48">Kokalj and Somrak (2019)</xref>, and <xref ref-type="bibr" rid="B84">RVT (2023)</xref>: HS &#x2013; illuminates a surface depending on the incidence angle between the illumination direction and the surface, HSM &#x2013; a composite image of hillshading from multiple directions, PCAHS &#x2013; a PCA analysis of hillshaded data from multiple directions, SLRM &#x2013; a trend-removal algorithm that separates local small-scale features from large-scale landforms, MSRM &#x2013; as SLRM but at multiple scales, SVF &#x2013; a graphical representation of the portion of the sky visible from a certain point, ASVF - a modification of SVF which takes into account the directional variability of the brightness of the sky, ONEG - a proxy for diffuse relief illumination resulting in a topography-detrended image based on estimating the mean value of mean nadir value within a defined search radius, OPOS &#x2013; similar to ONEG but based on estimating the mean value of all zenith angles within a defined search radius, LD - demonstrates how dominant an observer is for a local surrounding area when standing above a certain elevation. For more details the reader is referred to the beforementioned references.</p>
<p>Although &#x201c;Multi-Scale Topographic Position&#x201d; and &#x201c;Slope Gradient&#x201d; algorithms are also available in the RVT Toolbox, we do not present them in this work. &#x201c;Multi-Scale Topographic Position&#x201d; is most commonly used for landscape slope classification (<xref ref-type="bibr" rid="B38">Guisan et&#xa0;al., 1999</xref>; <xref ref-type="bibr" rid="B22">De Reu et&#xa0;al., 2013</xref>), and is therefore less applicable for visualization and mapping of subtle geomorphic features commonly occurring in bathymetric datasets. On the other hand, &#x201c;Slope Gradient&#x201d; is well known and commonly used also in bathymetric applications (as already described in the Introduction), therefore we do not elaborate on it any further in this work.</p>
<p>We tested the suitability of the described algorithms to visualize the following morphologies: narrow linear features with negligible relief, convex linear and elongate features, concave linear and elongate features, linear or curved features with break in slope, circular-rounded convex features, circular-rounded concave features, and features with a corrugated/folded morphology. These general morphologies comprise some of the most common geological, geomorphic, and anthropogenic features that can be found on the sea-, lake- and riverbeds (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Most common sea-, lake- and riverbed morphologies and corresponding examples of geological, geomorphic and anthropogenic features.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">General feature shape</th>
<th valign="top" align="left">Examples of submerged geological, geomorphic, and anthropogenic features:</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Narrow linear features with negligible relief</td>
<td valign="top" align="left">Fault trace, fault scarp, scour marks, bedding in rocky seabottom, features resulting from anthropogenic activity and manmade structures (bottom trawling marks from fishing or anchoring, cables, pipes, keel marks, propeller grooves etc.), artifacts (edges of multibeam tracklines), etc.</td>
</tr>
<tr>
<td valign="top" align="left">Convex linear and elongate features</td>
<td valign="top" align="left">Fault trace, fault scarp, ridges, eskers, moraines, drumlins, narrow linear sedimentary bodies (longshore bars, submerged levees, submerged beach ridges, submerged foredunes, bedforms of all scales and origins, &#x2026;), beachrock, manmade structures (constructions, archaeological features, &#x2026;), etc.</td>
</tr>
<tr>
<td valign="top" align="left">Concave linear and elongate features</td>
<td valign="top" align="left">Channels of different origin, gullies, submarine canyons, glacial grooves, scours, comet marks (see <xref ref-type="bibr" rid="B112">Werner et&#xa0;al., 1980</xref>), features resulting from anthropogenic activity (e.g. dredging marks), etc.</td>
</tr>
<tr>
<td valign="top" align="left">Linear or curved features with break in slope</td>
<td valign="top" align="left">shelf edges, canyon/channel edges, edges of guyots and/or seamounts, escarpments, (landslide) scarps, terraces, etc.</td>
</tr>
<tr>
<td valign="top" align="left">Circular-rounded convex features</td>
<td valign="top" align="left">Recent or fossil biogenic formations (e.g. coralligenous reefs, bioherms), kame, dropstones, boulders, hydrothermal vents, features resulting from anthropogenic activity and manmade structures (mounds, wrecks, bollards and other archaeological features, marine litter, &#x2026;), seamounts, outcrops &#x2013; inselbergs, guyots, salt domes, etc.</td>
</tr>
<tr>
<td valign="top" align="left">Circular-rounded concave features</td>
<td valign="top" align="left">Pockmarks, submerged springs, features resulting from anthropogenic activity (e.g. dredging, bombturbation (as defined by <xref ref-type="bibr" rid="B44">Hupy and Schaetzl, 2006</xref>)), etc.</td>
</tr>
<tr>
<td valign="top" align="left">Features with a corrugated/folded morphology</td>
<td valign="top" align="left">Mass transport deposits, salt domes, various bedforms, fine-scale bedform morphological features (e.g. ripples on a dune), etc.</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Datasets</title>
<p>In order to try to represent the widest possible variety of bathymetric data, we present results from four different datasets (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>) covering different bathymetric ranges, geological &amp; geographical settings, dataset resolutions and source data types. The datasets are from the Gulf of Trieste, the New England Seamount chain, and from lakes Constance (also Bodensee, Lac de Constance, Lago di Costanza, Lai da Constanza) and Lucerne (also Vierwaldst&#xe4;ttersee, Lac des Quatre-Cantons, Lago di Lucerna, Lai dals Quatter Chantuns). <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> provides the basic information about the used datasets and lists references describing their geological setting. Datasets for the Gulf of Trieste and lakes Constance and Lucerne were created from multibeam sonar soundings, except in the very shallow areas of the Gulf of Trieste, where singlebeam sonar was also used (<xref ref-type="bibr" rid="B91">Slavec, 2012</xref>; <xref ref-type="bibr" rid="B104">Trobec et&#xa0;al., 2017</xref>). The source data for the New England Seamount chain dataset is composed of direct and indirect measurements &#x2013; where sonar soundings are available, they are combined with satellite-derived bathymetry (<xref ref-type="bibr" rid="B35">GEBCO, 2021</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Geographic location of the used bathymetric datasets indicated by dark blue polygons: <bold>(A)</bold> overview map (EPSG: 4326); <bold>(B)</bold> inset of the northern Adriatic Sea (EPSG: 3794), <bold>(C)</bold> inset of Switzerland (EPSG: 2056). Figure was created by using <xref ref-type="bibr" rid="B33">Flanders Marine Institute (2018)</xref> and <xref ref-type="bibr" rid="B28">EuroGeographics &amp; UN-FAO (2020)</xref> datasets for the seas/oceans extent and administrative boundaries.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1266364-g001.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Datasets used in this study.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Geographic location</th>
<th valign="top" align="left">Geographic setting</th>
<th valign="top" align="left">Bathymetric range</th>
<th valign="top" align="left">Cell size of the dataset</th>
<th valign="top" align="left">Dataset source</th>
<th valign="top" align="left">References for the geological setting and geomorphic features</th>
<th valign="top" align="left">EPSG code of projection used for <xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>&#x2013;<xref ref-type="fig" rid="f11">
<bold>11</bold>
</xref>
</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Lake Constance<break/>(also Bodensee, Lac de Constance, Lago di Costanza, Lai da Constanza) &#x2013; abbreviation LC</td>
<td valign="top" align="left">Lake</td>
<td valign="top" align="left">approx. 0-250 m</td>
<td valign="top" align="left">3 x 3 m</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B32">Federal Office of Topography swisstopo, 2021</xref>
</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B71">M&#xfc;ller and Gees, 1968</xref>; <xref ref-type="bibr" rid="B90">Schr&#xf6;der et&#xa0;al., 1998</xref>; <xref ref-type="bibr" rid="B115">Wessels et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B10">Bussmann et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B113">Wessels et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B114">Wessels et&#xa0;al., 2017</xref>
</td>
<td valign="top" align="left">2056</td>
</tr>
<tr>
<td valign="top" align="left">Lake Lucerne<break/>(also Vierwaldst&#xe4;ttersee, Lac des Quatre-Cantons, Lago di Quattro Cantoni, Lai dals Quatter Chantuns) &#x2013; abbreviation LL</td>
<td valign="top" align="left">Lake</td>
<td valign="top" align="left">approx. 0-215 m</td>
<td valign="top" align="left">1 x 1 m</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B32">Federal Office of Topography swisstopo, 2021</xref>
</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B89">Schnellmann et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B87">Schnellmann et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B88">Schnellmann et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B96">Strasser et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B95">Strasser et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B41">Hilbe et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B42">Hilbe et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B85">Sammartini et&#xa0;al., 2021</xref>
</td>
<td valign="top" align="left">2056</td>
</tr>
<tr>
<td valign="top" align="left">New England Seamount chain (Atlantic Ocean) &#x2013; abbreviation NESM</td>
<td valign="top" align="left">Continental shelf to abyssal plain</td>
<td valign="top" align="left">approx. 10-5500 m</td>
<td valign="top" align="left">15 arc seconds (approx. 360 x 360 m for the used dataset)</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B36">GEBCO Group, 2021</xref>
</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B27">Duncan, 1984</xref>; <xref ref-type="bibr" rid="B40">Heaman and Kjarsgaard, 2000</xref>; <xref ref-type="bibr" rid="B63">Marple et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B62">Marple and Hurd, 2019</xref>; <xref ref-type="bibr" rid="B68">Merle et&#xa0;al., 2019</xref>
</td>
<td valign="top" align="left">32620</td>
</tr>
<tr>
<td valign="top" align="left">Gulf of Trieste (Adriatic Sea) &#x2013; abbreviation GT</td>
<td valign="top" align="left">Epicontinental sea</td>
<td valign="top" align="left">approx. 0-35 m</td>
<td valign="top" align="left">10 x 10 m</td>
<td valign="top" align="left">Ministry of Infrastructure of Slovenia</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B74">Ogorelec et&#xa0;al., 1991</xref>; <xref ref-type="bibr" rid="B8">Busetti et&#xa0;al., 2010a</xref>; <xref ref-type="bibr" rid="B9">Busetti et&#xa0;al., 2010b</xref>; <xref ref-type="bibr" rid="B101">Trincardi et&#xa0;al., 2011a</xref>; <xref ref-type="bibr" rid="B102">Trincardi et&#xa0;al., 2011b</xref>; <xref ref-type="bibr" rid="B104">Trobec et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B103">Trobec et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B73">Novak et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B83">Ronchi et al., 2023</xref>
</td>
<td valign="top" align="left">3794</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<p>This section contains an overview of the visualizations which were created from the four different datasets which were used in this study (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). We show the most striking examples and assess the effectiveness of the different algorithms for highlighting different geomorphic features. We first assess which visualizations are suitable to give a general overview of the bathymetric relief of a research area and then determine which visualizations most effectively highlight the general shapes listed in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>. The results of our qualitative assessment are summarized in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref> which shows the suitability of the different algorithms for highlighting specific morphological sea-, lake-, and riverbed features.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Suitability of the different algorithms for highlighting specific morphological features (&#x2713; - very suitable, &#x3bf; - less suitable, x - not suitable).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">General feature shape</th>
<th valign="top" align="center">HSM</th>
<th valign="top" align="center">PCAHS</th>
<th valign="top" align="center">SLRM</th>
<th valign="top" align="center">MSRM</th>
<th valign="top" align="center">SVF</th>
<th valign="top" align="center">ASVF</th>
<th valign="top" align="center">ONEG</th>
<th valign="top" align="center">OPOS</th>
<th valign="top" align="center">LD</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Narrow linear features with negligible relief</td>
<td valign="top" align="center">x</td>
<td valign="top" align="center">x</td>
<td valign="top" align="center">x</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
</tr>
<tr>
<td valign="top" align="left">Convex linear and elongate features</td>
<td valign="top" align="center">&#x3bf;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x3bf;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
</tr>
<tr>
<td valign="top" align="left">Concave linear and elongate features</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x3bf;</td>
<td valign="top" align="center">&#x2713;</td>
</tr>
<tr>
<td valign="top" align="left">Linear or curved features with break in slope</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">x</td>
<td valign="top" align="center">&#x3bf;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x3bf;</td>
<td valign="top" align="center">&#x3bf;</td>
<td valign="top" align="center">x</td>
</tr>
<tr>
<td valign="top" align="left">Circular-rounded convex features</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
</tr>
<tr>
<td valign="top" align="left">Circular-rounded concave features</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
</tr>
<tr>
<td valign="top" align="left">Features with a corrugated/folded morphology</td>
<td valign="top" align="center">&#x3bf;</td>
<td valign="top" align="center">&#x3bf;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x3bf;</td>
<td valign="top" align="center">&#x3bf;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
<td valign="top" align="center">&#x2713;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The abbreviations which are used in the figure captions refer to the: geographic location of the dataset (abbr. explained in Sect. 2.2 and <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>), used visualization algorithm (abbr. explained in Sect. 2.1), and the used parameters (where applicable). The abbreviations for the latter are: A - azimuth of illumination (in degrees), An - main direction of anisotropy (in degrees); H - height of illumination source (in degrees), Ve - vertical exaggeration (in multiples), D - number of directions of illumination, R - radius for trend assessment (in pixels), and M[min]-[max] - minimum to maximum search radius (in meters). The different parameters are separated by an underscore symbol.</p>
<sec id="s3_1">
<label>3.1</label>
<title>General morphology of a research area</title>
<p>In order to create a good overview of the general morphology of a research area, the HSM, PCAHS (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>), MSRM (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>), SVF, and ASVF (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>) algorithms are especially effective. However, the general morphology of the research area (especially in very low- or very high-gradient settings) should be taken into account before using HS or HSM as improperly set parameters can completely obscure the relief (e.g. <xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2A, C</bold>
</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Examples of visualizations in a low-gradient setting (dataset from GT): <bold>(A)</bold> HS A315_H35_Ve1; <bold>(B)</bold> HS A315_H35_Ve20; <bold>(C)</bold> HSM D8_H20_Ve1; <bold>(D)</bold> HSM D8_H20_Ve20; <bold>(E)</bold>: PCAHS D8_H20_Ve20; <bold>(F)</bold> example of an elevation profile throughout research area (profile location indicated in <bold>(D)</bold>. Note how at low Ve relief features in A and C are barely visible (e.g. dunes in the SW part of the figure; see <xref ref-type="bibr" rid="B91">Slavec, 2012</xref>) or even invisible (e.g. the buried meander belt in the central part of the figure; see <xref ref-type="bibr" rid="B104">Trobec et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B73">Novak et&#xa0;al., 2020</xref>). White arrows in E indicate some examples of relatively subtle linear convex sedimentary bodies.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1266364-g002.tif"/>
</fig>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Examples of visualization in a mixed high- and low-gradient setting (dataset from LL): <bold>(A)</bold> HS A315_H35_Ve1 with a bathymetric overlay (&#x201c;davos&#x201d; colourbar from <xref ref-type="bibr" rid="B15">Crameri, 2018a</xref>; <xref ref-type="bibr" rid="B16">Crameri, 2018b</xref>; <xref ref-type="bibr" rid="B17">Crameri et&#xa0;al., 2020</xref>); <bold>(B)</bold> MSRM M7-70. Blue arrows mark the headscarps and frontal bulges of the Chr&#xfc;ztrichter slide (indicated as CS; after <xref ref-type="bibr" rid="B41">Hilbe et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B85">Sammartini et&#xa0;al., 2021</xref>) and the Weggis slide complex (indicated as WSC; after <xref ref-type="bibr" rid="B41">Hilbe et&#xa0;al., 2011</xref>). White arrows indicate a ridge feature. Note the compressional ridges within the frontal bulges of both slides which are exceptionally well highlighted by the MSRM algorithm.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1266364-g003.tif"/>
</fig>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Examples of visualization in a predominantly high-gradient setting (dataset from LC): <bold>(A)</bold> HS A315_H40_Ve1; <bold>(B)</bold> SVF R10_D16; <bold>(C)</bold> ASVF R10_D16_An315. All three images contain a bathymetric overlay (&#x201c;lapaz&#x201d; colourbar from <xref ref-type="bibr" rid="B15">Crameri, 2018a</xref>; <xref ref-type="bibr" rid="B16">Crameri, 2018b</xref>; <xref ref-type="bibr" rid="B17">Crameri et&#xa0;al., 2020</xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1266364-g004.tif"/>
</fig>
<p>In very low-gradient settings, special attention should be given to the Ve parameter, which needs to be higher than 1 in order to adequately highlight subtle relief features (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). In the example from <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>, a few meters high sandwave field is barely visible at low Ve, while a subtle, less than 1 meter deep depression in the seafloor above a buried meander belt is not even recognisable (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2A, C</bold>
</xref>). Both morphological features become much more pronounced when a larger Ve is used (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2B, D</bold>
</xref>). Contrary to the commonly used HS, the HSM, PCAHS, MSRM, SVF, and ASVF reduce the effects of a unidirectional light source (mentioned in Sect. 1). Additionally, the PCAHS algorithm is very effective in highlighting both high- and low-relief features at the same time (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2E</bold>
</xref>). Some additional examples of effective visualizations of low-gradient settings are shown in <xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3B</bold>
</xref>, <xref ref-type="fig" rid="f5">
<bold>5B</bold>
</xref>, <xref ref-type="fig" rid="f7">
<bold>7B</bold>
</xref>, <xref ref-type="fig" rid="f9">
<bold>9B</bold>
</xref>, <xref ref-type="fig" rid="f10">
<bold>10D</bold>
</xref>, <xref ref-type="fig" rid="f11">
<bold>11B</bold>
</xref>.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Visualizing narrow linear features with negligible relief (dataset: GT in <bold>A</bold>, <bold>B</bold>, NESM in <bold>C</bold>, <bold>D</bold>): <bold>(A)</bold> HS A315_H35_Ve20; <bold>(B)</bold> OPOS R10_D16 (black arrows indicate some of the more prominent bottom trawling marks (after <xref ref-type="bibr" rid="B91">Slavec, 2012</xref>), blue arrows indicate two archaeological features: the northerly shipwreck &#x201c;barka Aura&#x201d; and the southerly archaeological site &#x201c;Koprske &#x161;eke&#x201d; (after <xref ref-type="bibr" rid="B81">RKD, 2023</xref>); <bold>(C)</bold> HS A315_H40_Ve20; <bold>(D)</bold> MSRM M500-2000 (grey arrows indicate some of the more prominent artifacts at the edges of multibeam tracklines). Note how the MSRM algorithm highlights the submarine canyons in the NW corner of the inset.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1266364-g005.tif"/>
</fig>
<p>In areas of both high and low topographic gradient HS is commonly used as it creates an intuitive overview of the general topographic features of the research area (e.g. <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>). However, subtle topographic features can be overlooked when choosing a (too) low Ve value. Alternatively, very rugged terrain can be too dark due to setting a (too) high Ve value. In such mixed topographical settings the MSRM visualization can be a good alternative since it is very effective in highlighting escarpments in high-relief areas as well as subtle topographic features in low-relief settings. The example in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref> shows well-delineated ridges, escarpments, and mass-transport deposit bodies (cf. <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref> from <xref ref-type="bibr" rid="B41">Hilbe et&#xa0;al., 2011</xref> and <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref> from <xref ref-type="bibr" rid="B85">Sammartini et&#xa0;al., 2021</xref>). Very subtle features in low-gradient settings are also highlighted by this visualization such as the compressional ridges on the frontal bulges of the landslides. Finally, several other &#x201c;mass-transport deposit-like&#x201d; morphological features are visible west of WSC (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>), which could tentatively be a topographic expression of buried mass-movements (already documented in LL by <xref ref-type="bibr" rid="B89">Schnellmann et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B88">Schnellmann et&#xa0;al., 2006</xref>). Some additional examples of effective visualizations of both low- and high-gradient settings are shown in <xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2E</bold>
</xref>, <xref ref-type="fig" rid="f7">
<bold>7B</bold>
</xref>, <xref ref-type="fig" rid="f11">
<bold>11B</bold>
</xref>.</p>
<p>Relief in high-gradient settings can be quite effectively portrayed by using HS (e.g. <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>), however a low Ve value should be chosen to avoid overexaggerated shadows produced by high relief. Another useful alternative is the use of the SVF and ASVF algorithms. Examples in <xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4B, D</bold>
</xref> show that these visualizations highlight more details compared to HS, while still being as intuitive as HS. Some additional examples of effective visualizations in high-gradient settings are shown in <xref ref-type="fig" rid="f6">
<bold>Figures&#xa0;6B</bold>
</xref>, <xref ref-type="fig" rid="f10">
<bold>10B</bold>
</xref>, <xref ref-type="fig" rid="f11">
<bold>11B</bold>
</xref>.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Visualizing convex linear and elongate features (dataset from LL): <bold>(A)</bold> HS A315_H20_Ve1; <bold>(B)</bold> SLRM R20. Black arrows indicate the ridge of the Nase moraine (after <xref ref-type="bibr" rid="B41">Hilbe et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B42">Hilbe et&#xa0;al., 2016</xref>). Note also how the morphological features of the gullies (indicated by white arrows), mass-movement deposits (MM; after <xref ref-type="bibr" rid="B41">Hilbe et&#xa0;al., 2011</xref>) and a fan (F; after <xref ref-type="bibr" rid="B41">Hilbe et&#xa0;al., 2011</xref>) are highlighted by the SLRM algorithm. The linearly distributed dots in the top part of both figures are acquisition artefacts.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1266364-g006.tif"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Narrow linear features with negligible relief</title>
<p>Narrow linear features with negligible relief are highlighted best by the MSRM, SVF, ASVF ONEG, OPOS, and LD algorithms (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). Compared to HS, these visualizations accentuate subtle features such as trawling marks and edges of multibeam tracks, which are barely visible on HS (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>). While the vertical offset in case of the edges of multibeam tracks can be in the order of a few ten meters in the deep ocean setting (e.g. <xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5C, D</bold>
</xref>), the example from <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5B</bold>
</xref> demonstrates that features can be highlighted by the appropriate algorithm even when the vertical offset amounts to less than a decimetre. Some additional examples with accentuated narrow linear features with negligible relief are included in <xref ref-type="fig" rid="f7">
<bold>Figures&#xa0;7B</bold>
</xref>, <xref ref-type="fig" rid="f8">
<bold>8B</bold>
</xref>, <xref ref-type="fig" rid="f10">
<bold>10D</bold>
</xref>.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Visualizing concave linear and elongate features (dataset from GT): <bold>(A)</bold> HS A315_H35_Ve20; <bold>(B)</bold> LD M5_50. Note how the LD algorithm highlights the channels within the meandering belt and the related abandoned channels &#x2013; relict oxbow lakes (after <xref ref-type="bibr" rid="B104">Trobec et&#xa0;al., 2017</xref>). The algorithm also highlights the sinuous fluvial channel (after <xref ref-type="bibr" rid="B104">Trobec et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B73">Novak et&#xa0;al., 2020</xref>) in the eastern part of the figure, where the levee is displayed in light grey and the thalweg is clearly visible as a central dark grey linear feature. Several smaller channels scattered throughout the whole extent of the displayed area are also well pronounced by the algorithm in light and dark shades of grey. Note also the archaeological features revealed on the seabed, indicated by blue arrows in <bold>(B)</bold> (locations after <xref ref-type="bibr" rid="B81">RKD, 2023</xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1266364-g007.tif"/>
</fig>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Visualizing linear or curved features with break in slope (dataset from NESM): <bold>(A)</bold> HS A315_H40_Ve1, <bold>(B)</bold> SVF R10 D16. Note how the SVF algorithm highlights the edges &#x2013; breaks in slope of the seamounts despite of their orientation or width. Additionally, this algorithm also highlights the edges of the tracklines and the gullies and ridges along the slopes of the seamounts. GoS, GrS and MS indicate the Gosnold Seamount, Gregg Seamount and Manning Seamounts, respectively (after <xref ref-type="bibr" rid="B34">Flanders Marine Institute, 2022</xref>; <xref ref-type="bibr" rid="B45">IHO-IOC GEBCO, 2022</xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1266364-g008.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Convex linear and elongate features</title>
<p>Convex linear and elongate features are highlighted best by the PCAHS, SLRM, MSRM, SVF, ASVF, and OPOS algorithms (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). Compared to HS, these visualizations accentuate the highest parts of convex linear features regardless of their orientation. For example, the moraine ridge in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6B</bold>
</xref> is clearly accentuated (by brighter shades of grey) in its NE part as opposed to <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6A</bold>
</xref> where this part of the ridge is less discernible due to its lightsource-parallel orientation. Some additional examples with accentuated convex linear and elongate features are included in <xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2E</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>3B</bold>
</xref>, <xref ref-type="fig" rid="f5">
<bold>5D</bold>
</xref>, <xref ref-type="fig" rid="f7">
<bold>7B</bold>
</xref>, <xref ref-type="fig" rid="f9">
<bold>9B</bold>
</xref>, <xref ref-type="fig" rid="f10">
<bold>10D</bold>
</xref>.</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Visualizing circular-rounded convex features (dataset from GT): <bold>(A)</bold> HS A315_H35_Ve20; <bold>(B)</bold> SLRM R15. Note how the SLRM algorithm highlights the up to a few ten meters wide shipwrecks (indicated by blue arrows in <bold>(A)</bold> by darker shades of grey. The shipwrecks from left to right are: vessel &#x201c;Barka Skale&#x201d;, barge &#x201c;Konji I&#x201d; and vessel &#x201c;Stojanov bark&#x201d; (after <xref ref-type="bibr" rid="B81">RKD, 2023</xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1266364-g009.tif"/>
</fig>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Visualizing circular-rounded concave features (dataset from LC): <bold>(A)</bold> HS A315_H40_Ve1, <bold>(B)</bold> OPOS R10_D16, <bold>(C)</bold> HS A315_H40_Ve1, and <bold>(D)</bold> OPOS R10_D16. Note how the OPOS algorithm in <bold>(B)</bold> highlights aligned pockmarks on the shoulder (indicated by black arrows) of an old channel of the Rhine (after <xref ref-type="bibr" rid="B115">Wessels et&#xa0;al., 2010</xref>). Additionally, in the central part of <bold>(B)</bold> the algorithm highlights pockmarks within an old channel filled by ripples (after <xref ref-type="bibr" rid="B115">Wessels et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B10">Bussmann et&#xa0;al., 2011</xref>). In <bold>(D)</bold> the algorithm was used for highlighting another area of pockmarks in LC (after <xref ref-type="bibr" rid="B114">Wessels et&#xa0;al., 2017</xref>). Note that the algorithm was used in both high- <bold>(B)</bold> and low-gradient settings <bold>(D)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1266364-g010.tif"/>
</fig>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Concave linear and elongate features</title>
<p>Convex linear and elongate features are highlighted best by the HSM, PCAHS, SLRM, MSRM, SVF, ASVF, ONEG, and LD algorithms (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). Compared to HS these visualizations accentuate the deepest parts of convex linear and elongate features regardless of their depth of incision. For example, smaller channels (incised less than 0.5 m) which are barely visible when using HS (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>) are well pronounced when an appropriate algorithm is used (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>). The small channels are well accentuated even when compared to the larger and deeper fluvial channels (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>). The LD algorithm is especially suited for displaying areas containing both incised channels and channels with developed levees (i.e. with convex morphologies; <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>). Some additional examples with accentuated convex linear and elongate features are included in <xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2E</bold>
</xref>, <xref ref-type="fig" rid="f4">
<bold>4B, C</bold>
</xref>, <xref ref-type="fig" rid="f5">
<bold>5D</bold>
</xref>, <xref ref-type="fig" rid="f6">
<bold>6B</bold>
</xref>, <xref ref-type="fig" rid="f9">
<bold>9B</bold>
</xref>, <xref ref-type="fig" rid="f10">
<bold>10B</bold>
</xref>, <xref ref-type="fig" rid="f11">
<bold>11B</bold>
</xref>.</p>
<fig id="f11" position="float">
<label>Figure&#xa0;11</label>
<caption>
<p>Visualizing features with a currogated/folded morphology (dataset from LC): <bold>(A)</bold> HS A315_H40_Ve1, <bold>(B)</bold> ONEG R10_D16. The algorithm clearly highlights bedforms in various scales: the shore-parallel megaripples (wavelengths of between 20 and 40 m; after <xref ref-type="bibr" rid="B113">Wessels et&#xa0;al., 2015</xref>), the shore-perpendicular bedforms (wavelengths between 50 and 100 m), and the bedforms between and within old channels (wavelengths between 50 and 100 m). Note that the shore-parallel and shore-perpendicular bedforms are situated in a low-gradient setting, while the other group of bedforms is located within medium- to high-gradient settings.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1266364-g011.tif"/>
</fig>
</sec>
<sec id="s3_5">
<label>3.5</label>
<title>Linear or curved features with break in slope</title>
<p>Linear or curved features with break in slope are highlighted best by the HSM, PCAHS, SVF, and ASVF algorithms (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). Compared to HS these algorithms highlight the break in slope much more clearly as is demonstrated in <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>. Additionally, these features are emphasized regardless of their orientation. For example, the edges of the NW-SE oriented seamounts (e.g. Gosnold Seamount, Gregg Seamount, eastern part of Manning Seamounts) are not very evident in <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8A</bold>
</xref>, while they are clearly delineated in <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8B</bold>
</xref>. Some additional examples with accentuated linear or curved features with break in slope are included in <xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3B</bold>
</xref>, <xref ref-type="fig" rid="f4">
<bold>4B, C</bold>
</xref>, <xref ref-type="fig" rid="f5">
<bold>5D</bold>
</xref>, <xref ref-type="fig" rid="f6">
<bold>6B</bold>
</xref>, <xref ref-type="fig" rid="f11">
<bold>11B</bold>
</xref>.</p>
</sec>
<sec id="s3_6">
<label>3.6</label>
<title>Circular-rounded convex features</title>
<p>Circular-rounded convex features are well highlighted by all the algorithms (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). Compared to HS, these algorithms highlight the features regardless of how much they protrude from the sea-, lake- or riverbed as is demonstrated with the shipwrecks in <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref>. For example, the smallest shipwreck in <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref> - &#x201c;Barka Skale&#x201d; is emphasized by the SLRM algorithm (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9B</bold>
</xref>) despite its relatively modest extent of 24 x 15 m (after <xref ref-type="bibr" rid="B81">RKD, 2023</xref>). Considering that the cell size of the used dataset is fairly large (10 x 10 m, see <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>) this clearly demonstrates the effectiveness of the algorithm even when the features are represented by just a few pixels. Some additional examples of accentuated archaeological features are included in <xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5B</bold>
</xref>, <xref ref-type="fig" rid="f7">
<bold>7B</bold>
</xref>, <xref ref-type="fig" rid="f8">
<bold>8B</bold>
</xref>. The algorithms work well also when highlighting large-scale circular-rounded convex features, such as seamounts (e.g. <xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5D</bold>
</xref>, <xref ref-type="fig" rid="f8">
<bold>8B</bold>
</xref>) or outcrops and boulders (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>).</p>
</sec>
<sec id="s3_7">
<label>3.7</label>
<title>Circular-rounded concave features</title>
<p>Circular-rounded concave features are well highlighted by all the algorithms (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). Compared to HS, these algorithms highlight the features regardless of the gradient of the studied area and the relative depth of the features compared to their surroundings (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10</bold>
</xref>). The example in <xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10</bold>
</xref> demonstrates how these algorithms pronounce the pockmarks fields compared to the HS algorithm. The algorithms work well in high- (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10B</bold>
</xref>) as well as in low-gradient settings (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10D</bold>
</xref>). Some additional examples with accentuated circular-rounded concave features are included in <xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2D, E</bold>
</xref>, <xref ref-type="fig" rid="f4">
<bold>4B, C</bold>
</xref>, <xref ref-type="fig" rid="f7">
<bold>7B</bold>
</xref>, <xref ref-type="fig" rid="f11">
<bold>11B</bold>
</xref>.</p>
</sec>
<sec id="s3_8">
<label>3.8</label>
<title>Features with a corrugated/folded morphology</title>
<p>Features with a corrugated/folded morphology are highlighted best by the SLRM, MSRM, ONEG, OPOS, and LD algorithms. These algorithms pronounce the corrugated morphology which would otherwise be very subtly expressed by the HS algorithm (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>). Additionally, as already demonstrated in several cases from previous sections, these algorithms highlight features regardless of their orientation. An evident example is demonstrated in the bottom central part of <xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11B</bold>
</xref> where the NE-SE oriented bedforms are much more pronounced compared to <xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11A</bold>
</xref>. As is demonstrated in <xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>, the ONEG algorithm highlights bedforms in both low- and high-gradient settings. Some additional examples with accentuated features with a corrugated/folded morphology are included in <xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2D, E</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>3B</bold>
</xref>, <xref ref-type="fig" rid="f4">
<bold>4B, C</bold>
</xref>, <xref ref-type="fig" rid="f5">
<bold>5D</bold>
</xref>, <xref ref-type="fig" rid="f6">
<bold>6B</bold>
</xref>, <xref ref-type="fig" rid="f10">
<bold>10B, D</bold>
</xref>.</p>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>Visual communication of data, results and interpretation has always been a vital part of geosciences, albeit more often than not subconsciously (<xref ref-type="bibr" rid="B54">Libarkin and Brick, 2002</xref>; <xref ref-type="bibr" rid="B3">Alcalde et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B70">Morse et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B17">Crameri et&#xa0;al., 2020</xref> among others). Especially in recent years with the ever-increasing amount and coverage of the Earth&#x2019;s surface with high-resolution DEMs it has become even more important to strive towards effective representation and communication of elevation data. This is even more significant in the case of bathymetric data where possibilities for direct observations are severely limited compared to the onshore realm (<xref ref-type="bibr" rid="B111">Weatherall et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B67">Mayer et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B116">W&#xf6;lfl et&#xa0;al., 2019</xref>). In this sense, the good and proven practices for visualization of land elevation data should be considered, transferred, and implemented also for offshore data.</p>
<p>The algorithms contained in RVT have been used in a variety of studies and applications demonstrated by the extensive list of more than 400 references available on their website (<xref ref-type="bibr" rid="B84">RVT, 2023</xref>). More than half of these are represented by archaeological studies, where RVT (and especially SVF) is commonly used for representation of elevation data (some examples include <xref ref-type="bibr" rid="B7">Burigana and Magnini, 2017</xref>; <xref ref-type="bibr" rid="B64">Masini et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B14">Costa-Garc&#xed;a et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B48">Kokalj and Somrak, 2019</xref>; <xref ref-type="bibr" rid="B5">Bernardini and Vinci, 2020</xref>; <xref ref-type="bibr" rid="B55">Lim et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B58">Lozi&#x107; and &#x160;tular, 2021</xref>; <xref ref-type="bibr" rid="B94">&#x160;prajc et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B1">Affek et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B19">Danese et&#xa0;al., 2022</xref>). Use of RVT is much less common in geoscientific studies which represent less than ten percent of the references (<xref ref-type="bibr" rid="B84">RVT, 2023</xref>). Among these, RVT is most commonly used to create visualizations in landslide research (<xref ref-type="bibr" rid="B106">Van Den Eeckhaut et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B57">Lo et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B105">Tsou et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B13">Chud&#xfd; et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B47">Knevels et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B107">Verbov&#x161;ek et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B39">Guo et&#xa0;al., 2021</xref>) and geomorphology (<xref ref-type="bibr" rid="B4">Atkinson et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B12">Carrasco et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B100">T&#xf3;th et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B72">Novak and O&#x161;tir, 2021</xref>; <xref ref-type="bibr" rid="B82">Rolland et&#xa0;al., 2022</xref>), while other geoscientific topics are represented by just a few papers (<xref ref-type="bibr" rid="B65">Mateo L&#xe1;zaro et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B23">Djuricic et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B30">Favalli and Fornaciai, 2017</xref>; <xref ref-type="bibr" rid="B21">Delaney et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B31">Favalli et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B56">Lkebir et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B18">Craven et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B20">Delaney, 2022</xref>; <xref ref-type="bibr" rid="B46">Jam&#x161;ek Rupnik et&#xa0;al., 2022</xref>). The large discrepancy between the use of RVT in archeological vs geoscientific studies indicates the unrecognised potential for alternative visualization of elevation data in geosciences. An even more striking disparity becomes evident when we consider the type of the input elevation data &#x2013; to our knowledge only a few instances of the use of RVT for bathymetric data exist in published literature (<xref ref-type="bibr" rid="B18">Craven et&#xa0;al., 2021</xref>) and they are mostly limited to archaeological studies (<xref ref-type="bibr" rid="B24">Doneus et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B25">Doneus et&#xa0;al., 2020</xref>). This highlights the need and potential for (better) alternative visualizations of bathymetric data in geosciences, especially when we consider that the bathymetry of the research area often controls later decision regarding the locations of sampling points/coring or geophysical profiles.</p>
<p>Our work demonstrates that excellent results can be obtained with RVT also with bathymetric data of various resolution and from different geological and geographical settings (Section 3). All the examples shown in <xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>&#x2013;<xref ref-type="fig" rid="f11">
<bold>11</bold>
</xref> demonstrate that the algorithms outperform HS in every tested scenario &#x2013; either when visualizing the general morphology of a study area, or when identifying specific feature shapes. One of the greatest strengths of the algorithms provided by the RVT is the possibility to highlight the feature shape of interest (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). This not only facilitates the communication of observations and interpretations of digital bathymetric models, but also allows more accurate sea-, lake-, or riverbed mapping. Additionally, it has great potential to serve as an aid for locating points of interest for further surveys, not only in geoscientific, environmental, or archaeological applications, but also in search and salvage efforts (e.g. for shipwreck sites, locations of lost cargo, &#x2026;). The results summarized in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref> indicate the most suitable algorithms for highlighting features of interest and provide a reference for future users of RVT in submerged marine, lacustrine and fluvial settings.</p>
<p>The quality of the visualizations produced by the algorithms of the RVT is obviously dependent on the set parameters. In this work we only demonstrate the effects of an improper setting for the Ve parameter, which results in sub-optimal visualizations (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). However, low-quality visualizations can also result from improper settings of all the other parameters which are listed at the beginning of Section 3. When deciding on the values of the parameters, RVT users should consult the RVT manual (<xref ref-type="bibr" rid="B50">Kokalj et&#xa0;al., 2019</xref>) which contains the basic guidelines for parameter determination.</p>
<p>While we focus on the use of the RVT software in this paper, it should be noted that several of the described algorithms are also integrated into other open and licensed software solutions, such as Global Mapper, ArcGIS, Whitebox software, QGIS, etc. with HSM being one of the most wide spread algorithms as it is presently optional in all the mentioned solutions. However, several other algorithms (e.g. ONEG, OPOS, SVF, etc.) are also available in some of the mentioned programs.</p>
<p>Finally, it should be pointed out that the examples demonstrated in his paper are used only for qualitatively improving the visual representation of sea-, lake-, and riverbed features and are prone to the subjective bias. For unbiased results one should revert to quantitative geomorphometric analyses, such as feature extraction and automated classification (see <xref ref-type="bibr" rid="B52">Lecours et&#xa0;al., 2016</xref>).</p>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>This work deals with the visual representation of bathymetric data by using non-standard algorithms with the intention to present a user-friendly alternative to conventional visualization techniques for displaying sea-, lake-, and riverbed morphology. We test out the algorithms on digital bathymetric models which were created from different types of bathymetric data, have different resolutions, cover the shallow-to-abbysal depth range and span through different regions and settings. We identify the best algorithms to display the general morphology of a study area and the optimal algorithms for highlighting geomorphic features of interest. The results of our tests show that the algorithms contained within RVT are far superior to the conventional Hillshade and Slope gradient visualization techniques for bathymetric data. We provide a summary of our observations which can be considered a promotion of the RVT within the offshore and submerged terrestrial scientific community and as a set of guidelines for future users of RVT working in the offshore and submerged terrestrial domains. Our study demonstrates the importance, versatility, and efficacy of RVT for the creation of better and more informative bathymetric data visualizations.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: <ext-link ext-link-type="uri" xlink:href="https://www.swisstopo.admin.ch/en/geodata/height/bathy3d.html">https://www.swisstopo.admin.ch/en/geodata/height/bathy3d.html</ext-link>, <ext-link ext-link-type="uri" xlink:href="https://doi.org/10/gn6h">https://doi.org/10/gn6h</ext-link>.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>AN: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. SP: Data curation, Investigation, Writing &#x2013; review &amp; editing. MV: Funding acquisition, Writing &#x2013; review &amp; editing.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This study was supported by the Slovenian Research and Innovation Agency (ARIS) [research programmes P1-0011 &amp; P1-0195; research projects J1-1712 &amp; L1-5452 (co-funded by Harpha Sea d.o.o.)]; and the Slovenian National Commission for UNESCO, International Geoscience Programme [projects IGCP 639 and 725].</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>This study benefited from the discussions at several meetings of the NEPTUNE project (New Procedures and Technologies for Underwater Paleo-landscape Reconstruction) funded as project nr. 2003P by the International Union for Quaternary Research (INQUA). Finally, we would like thank Luis A. Conti, Vincent Lecours, and reviewer for their valuable comments.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>Author SP is employed by Sirio d.o.o, Slovenia.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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