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<head>
<link href="https://fonts.googleapis.com/css?family=Google+Sans|Noto+Sans|Castoro" rel="stylesheet">
<title>Multi-Object Discovery by Low-Dimensional Object Motion</title>
<link rel="icon" type="image/png" href="images/KUIS_AI_LOGO.png">
<meta property="og:image" content="Path to my teaser.png"/> <!-- Facebook automatically scrapes this. Go to https://developers.facebook.com/tools/debug/ if you update and want to force Facebook to rescrape. -->
<meta property="og:title" content="Multi-Object Discovery by Low-Dimensional Object Motion"/>
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<h1 class="title is-1 publication-title" style="margin-bottom: 0"><strong>Multi-Object Discovery by Low-Dimensional Object Motion</strong></h1>
<!-- <h2 class="title is-2 publication-title" style="margin-top: 0; margin-bottom: 0">Deep Stereo </h2> -->
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<h3 class="title is-3 publication-title" style="margin-top: 0; margin-bottom: 0">ICCV 2023 </h3>
<br>
<table align=center width=1100px>
<table align=center width=600px>
<tr>
<td align=center width=100px>
<center>
<span style="font-size:25px"><a href="https://sadrasafa.github.io/">Sadra Safadoust</span>
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<span style="font-size:25px"><a href="https://mysite.ku.edu.tr/fguney/">Fatma Güney</span>
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<span style="font-size:22px">KUIS AI Center, Koç University</span>
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<a href="https://arxiv.org/pdf/2307.08027.pdf" class="external-link button is-normal is-rounded is-dark" style="background-color:#2a2a2a;">
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<span>Paper</span>
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<a href="https://arxiv.org/abs/2307.08027" class="external-link button is-normal is-rounded is-dark" style="background-color:#2a2a2a;">
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<span>Arxiv</span>
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<svg class="svg-inline--fa fa-palette fa-w-16" aria-hidden="true" focusable="false" data-prefix="fas" data-icon="palette" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" data-fa-i2svg=""><path fill="currentColor" d="M204.3 5C104.9 24.4 24.8 104.3 5.2 203.4c-37 187 131.7 326.4 258.8 306.7 41.2-6.4 61.4-54.6 42.5-91.7-23.1-45.4 9.9-98.4 60.9-98.4h79.7c35.8 0 64.8-29.6 64.9-65.3C511.5 97.1 368.1-26.9 204.3 5zM96 320c-17.7 0-32-14.3-32-32s14.3-32 32-32 32 14.3 32 32-14.3 32-32 32zm32-128c-17.7 0-32-14.3-32-32s14.3-32 32-32 32 14.3 32 32-14.3 32-32 32zm128-64c-17.7 0-32-14.3-32-32s14.3-32 32-32 32 14.3 32 32-14.3 32-32 32zm128 64c-17.7 0-32-14.3-32-32s14.3-32 32-32 32 14.3 32 32-14.3 32-32 32z"></path></svg>
</span>
<span>Poster</span>
</a>
</span>
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<span>Video</span>
</a>
</span> -->
<!-- Code Link. -->
<span class="link-block">
<a href="https://github.com/sadrasafa/multi-object-segmentation" class="external-link button is-normal is-rounded is-dark" style="background-color:#2a2a2a;">
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</span>
<span>Code</span>
</a>
</span>
<!-- Dataset Link. -->
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<a href="https://amsacta.unibo.it/id/eprint/7218/" class="external-link button is-normal is-rounded is-dark" style="background-color:#2a2a2a;">
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</span>
<span>Dataset</span>
</a>
</span> -->
<!-- Dataset Link. -->
<!--
<span class="link-block">
<a href="https://github.com/google/nerfies/releases/tag/0.1"
class="external-link button is-normal is-rounded is-dark">
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<span>Data</span>
</a>
</span>
-->
</table>
</center>
<br>
<br>
<center>
<table align=center width=850px >
<tr>
<td width=260px>
<center>
<img class="round" style="width:1080px" src="./images/method.png"/>
</center>
</td>
</tr>
<tr></tr>
<tr></tr>
</table>
<table align=center width=1080px style="font-family: 'Google Sans', sans-serif; font-size: 1.1em; line-height: 1.5; ">
<tr>
<td><p style="text-align: justify;">
From a single image, we predict a segmentation mask and a disparity map using two separate networks.
Based on these predictions, we construct the bases for the space of the possible
optical flows for distinctly moving regions on the image. Each region is represented with a separate basis.
Given optical flow as input, we project it into the linear span of the constructed bases
and use the distance between the input flow and the projected flow to supervise depth and segmentation. During inference,
our networks can be used to predict depth and segmentation from a single image.
</p>
</td>
</tr>
</table>
</center>
<br>
<br>
<hr>
<table align=center width=1000px style="font-family: 'Google Sans', sans-serif; font-size: 1.1em; line-height: 1.5; ">
<center><h1>Abstract</h1></center>
<tr>
<td><p style="text-align: justify;">
Recent work in unsupervised multi-object segmentation shows impressive
results by predicting motion from a single image despite the inherent ambiguity
in predicting motion without the next image. On the other hand, the set of
possible motions for an image can be constrained to a low-dimensional space by
considering the scene structure and moving objects in it. We propose to model
pixel-wise geometry and object motion to remove ambiguity in reconstructing
flow from a single image. Specifically, we divide the image into coherently
moving regions and use depth to construct flow bases that best explain the
observed flow in each region. We achieve state-of-the-art results in
unsupervised multi-object segmentation on synthetic and real-world datasets by
modeling the scene structure and object motion. Our evaluation of the predicted
depth maps shows reliable performance in monocular depth estimation.</p>
</td>
</tr>
</table>
<br>
<hr>
<center><h1>Results</h1></center>
<table align=center width=1080px style="font-family: 'Google Sans', sans-serif; font-size: 1.1em ">
<center>
<tr>
<td>
<h2>Synthetic Datasets</h2>
<ul style="list-style-type: none;">
<li><p style="text-align: justify;"><strong>MOVi Datasets </strong></p></li>
</ul>
<table align=center style="font-family: 'Google Sans', sans-serif; font-size: 1.1em ">
<center>
<tr>
<td align="right">RGB</td>
<td><img class="round" width="100px" src="./images/movi/RGB_movi-a_0.png"/>
<img class="round" width="100px" src="./images/movi/RGB_movi-a_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/RGB_movi-c_0.png"/>
<img class="round" width="100px" src="./images/movi/RGB_movi-c_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/RGB_movi-d_1.png"/>
<img class="round" width="100px" src="./images/movi/RGB_movi-d_0.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/RGB_movi-e_0.png"/>
<img class="round" width="100px" src="./images/movi/RGB_movi-e_1.png"/></td>
</tr>
<tr>
<td align="right">GT Seg</td>
<td><img class="round" width="100px" src="./images/movi/GT_Seg_movi-a_0.png"/>
<img class="round" width="100px" src="./images/movi/GT_Seg_movi-a_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/GT_Seg_movi-c_0.png"/>
<img class="round" width="100px" src="./images/movi/GT_Seg_movi-c_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/GT_Seg_movi-d_1.png"/>
<img class="round" width="100px" src="./images/movi/GT_Seg_movi-d_0.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/GT_Seg_movi-e_0.png"/>
<img class="round" width="100px" src="./images/movi/GT_Seg_movi-e_1.png"/></td>
</tr>
<tr>
<td align="right">PPMP</td>
<td><img class="round" width="100px" src="./images/movi/PPMP_movi-a_0.png"/>
<img class="round" width="100px" src="./images/movi/PPMP_movi-a_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/PPMP_movi-c_0.png"/>
<img class="round" width="100px" src="./images/movi/PPMP_movi-c_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/PPMP_movi-d_1.png"/>
<img class="round" width="100px" src="./images/movi/PPMP_movi-d_0.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/PPMP_movi-e_0.png"/>
<img class="round" width="100px" src="./images/movi/PPMP_movi-e_1.png"/></td>
</tr>
<tr>
<td align="right">PPMP†</td>
<td><img class="round" width="100px" src="./images/movi/PPMP_PP_movi-a_0.png"/>
<img class="round" width="100px" src="./images/movi/PPMP_PP_movi-a_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/PPMP_PP_movi-c_0.png"/>
<img class="round" width="100px" src="./images/movi/PPMP_PP_movi-c_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/PPMP_PP_movi-d_1.png"/>
<img class="round" width="100px" src="./images/movi/PPMP_PP_movi-d_0.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/PPMP_PP_movi-e_0.png"/>
<img class="round" width="100px" src="./images/movi/PPMP_PP_movi-e_1.png"/></td>
</tr>
<tr>
<td align="right">Ours</td>
<td><img class="round" width="100px" src="./images/movi/Ours_movi-a_0.png"/>
<img class="round" width="100px" src="./images/movi/Ours_movi-a_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/Ours_movi-c_0.png"/>
<img class="round" width="100px" src="./images/movi/Ours_movi-c_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/Ours_movi-d_1.png"/>
<img class="round" width="100px" src="./images/movi/Ours_movi-d_0.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/Ours_movi-e_0.png"/>
<img class="round" width="100px" src="./images/movi/Ours_movi-e_1.png"/></td>
</tr>
<tr>
<td align="right">Ours†</td>
<td><img class="round" width="100px" src="./images/movi/Ours_PP_movi-a_0.png"/>
<img class="round" width="100px" src="./images/movi/Ours_PP_movi-a_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/Ours_PP_movi-c_0.png"/>
<img class="round" width="100px" src="./images/movi/Ours_PP_movi-c_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/Ours_PP_movi-d_1.png"/>
<img class="round" width="100px" src="./images/movi/Ours_PP_movi-d_0.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/Ours_PP_movi-e_0.png"/>
<img class="round" width="100px" src="./images/movi/Ours_PP_movi-e_1.png"/></td>
</tr>
<tr>
<td align="right">Our depth</td>
<td><img class="round" width="100px" src="./images/movi/Ours_Depth_movi-a_0.png"/>
<img class="round" width="100px" src="./images/movi/Ours_Depth_movi-a_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/Ours_Depth_movi-c_0.png"/>
<img class="round" width="100px" src="./images/movi/Ours_Depth_movi-c_1.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/Ours_Depth_movi-d_1.png"/>
<img class="round" width="100px" src="./images/movi/Ours_Depth_movi-d_0.png"/></td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/movi/Ours_Depth_movi-e_0.png"/>
<img class="round" width="100px" src="./images/movi/Ours_Depth_movi-e_1.png"/></td>
</tr>
<tr>
<td></td>
<td align="center">MOVi-A</td>
<td width="10px"></td>
<td align="center">MOVi-C</td>
<td width="10px"></td>
<td align="center">MOVi-D</td>
<td width="10px"></td>
<td align="center">MOVi-E</td>
</tr>
</center>
</table>
<br>
<ul style="list-style-type: none;">
<li><p style="text-align: justify;"><strong>CLEVR and CLEVRTEX Datasets</strong></p></li>
</ul>
<table align=center style="font-family: 'Google Sans', sans-serif; font-size: 1.1em ">
<center>
<tr>
<td align="right">RGB</td>
<td><img class="round" width="100px" src="./images/clevr/RGB_clevr_3.png"/>
<img class="round" width="100px" src="./images/clevr/RGB_clevr_0.png"/>
<img class="round" width="100px" src="./images/clevr/RGB_clevr_1.png"/>
<img class="round" width="100px" src="./images/clevr/RGB_clevr_2.png"/>
</td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/clevr/RGB_tex_0.png"/>
<img class="round" width="100px" src="./images/clevr/RGB_tex_1.png"/>
<img class="round" width="100px" src="./images/clevr/RGB_tex_2.png"/>
<img class="round" width="100px" src="./images/clevr/RGB_tex_3.png"/>
</td>
</tr>
<tr>
<td align="right">GT Seg</td>
<td><img class="round" width="100px" src="./images/clevr/GT_Seg_clevr_3.png"/>
<img class="round" width="100px" src="./images/clevr/GT_Seg_clevr_0.png"/>
<img class="round" width="100px" src="./images/clevr/GT_Seg_clevr_1.png"/>
<img class="round" width="100px" src="./images/clevr/GT_Seg_clevr_2.png"/>
</td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/clevr/GT_Seg_tex_0.png"/>
<img class="round" width="100px" src="./images/clevr/GT_Seg_tex_1.png"/>
<img class="round" width="100px" src="./images/clevr/GT_Seg_tex_2.png"/>
<img class="round" width="100px" src="./images/clevr/GT_Seg_tex_3.png"/>
</td>
</tr>
<tr>
<td align="right">PPMP</td>
<td><img class="round" width="100px" src="./images/clevr/PPMP_clevr_3.png"/>
<img class="round" width="100px" src="./images/clevr/PPMP_clevr_0.png"/>
<img class="round" width="100px" src="./images/clevr/PPMP_clevr_1.png"/>
<img class="round" width="100px" src="./images/clevr/PPMP_clevr_2.png"/>
</td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/clevr/PPMP_tex_0.png"/>
<img class="round" width="100px" src="./images/clevr/PPMP_tex_1.png"/>
<img class="round" width="100px" src="./images/clevr/PPMP_tex_2.png"/>
<img class="round" width="100px" src="./images/clevr/PPMP_tex_3.png"/>
</td>
</tr>
<tr>
<td align="right">PPMP†</td>
<td><img class="round" width="100px" src="./images/clevr/PPMP_PP_clevr_3.png"/>
<img class="round" width="100px" src="./images/clevr/PPMP_PP_clevr_0.png"/>
<img class="round" width="100px" src="./images/clevr/PPMP_PP_clevr_1.png"/>
<img class="round" width="100px" src="./images/clevr/PPMP_PP_clevr_2.png"/>
</td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/clevr/PPMP_PP_tex_0.png"/>
<img class="round" width="100px" src="./images/clevr/PPMP_PP_tex_1.png"/>
<img class="round" width="100px" src="./images/clevr/PPMP_PP_tex_2.png"/>
<img class="round" width="100px" src="./images/clevr/PPMP_PP_tex_3.png"/>
</td>
</tr>
<tr>
<td align="right">Ours</td>
<td><img class="round" width="100px" src="./images/clevr/Ours_clevr_3.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_clevr_0.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_clevr_1.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_clevr_2.png"/>
</td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/clevr/Ours_tex_0.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_tex_1.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_tex_2.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_tex_3.png"/>
</td>
</tr>
<tr>
<td align="right">Ours†</td>
<td><img class="round" width="100px" src="./images/clevr/Ours_PP_clevr_3.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_PP_clevr_0.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_PP_clevr_1.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_PP_clevr_2.png"/>
</td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/clevr/Ours_PP_tex_0.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_PP_tex_1.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_PP_tex_2.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_PP_tex_3.png"/>
</td>
</tr>
<tr>
<td align="right">Our depth</td>
<td><img class="round" width="100px" src="./images/clevr/Ours_Depth_clevr_3.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_Depth_clevr_0.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_Depth_clevr_1.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_Depth_clevr_2.png"/>
</td>
<td width="10px"></td>
<td><img class="round" width="100px" src="./images/clevr/Ours_Depth_tex_0.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_Depth_tex_1.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_Depth_tex_2.png"/>
<img class="round" width="100px" src="./images/clevr/Ours_Depth_tex_3.png"/>
</td>
</tr>
<td></td>
<td align="center">CLEVR</td>
<td></td>
<td align="center">CLEVRTEX</td>
</center>
</table>
<h2>Real Datasets</h2>
<ul style="list-style-type: none;">
<li><p style="text-align: justify;"><strong>DAVIS-2017 Dataset</strong></p></li>
</ul>
<table align=center style="font-family: 'Google Sans', sans-serif; font-size: 1.1em ">
<center>
<tr>
<td align="right">RGB</td>
<td><img class="round" width="190px" src="./images/davis/resized-bike-packing-00039.jpg"/></td>
<td><img class="round" width="190px" src="./images/davis/judo-00028.jpg"/></td>
<td><img class="round" width="190px" src="./images/davis/gold-fish-00063.jpg"/></td>
<td><img class="round" width="190px" src="./images/davis/blackswan-00002.jpg"/></td>
<td><img class="round" width="190px" src="./images/davis/mbike-trick-00078.jpg"/></td>
</tr>
<tr>
<td align="right">GT</td>
<td><img class="round" width="190px" src="./images/davis/resized-bike-packing-00039-6-gt.png"/></td>
<td><img class="round" width="190px" src="./images/davis/judo-00028-6-gt.png"/></td>
<td><img class="round" width="190px" src="./images/davis/gold-fish-00063-6-gt.png"/></td>
<td><img class="round" width="190px" src="./images/davis/blackswan-00002-6-gt.png"/></td>
<td><img class="round" width="190px" src="./images/davis/mbike-trick-00078-6-gt.png"/></td>
</tr>
<tr>
<td align="right">OCLR</td>
<td><img class="round" width="190px" src="./images/davis/resized-bike-packing-00039-6-oclr.png"/></td>
<td><img class="round" width="190px" src="./images/davis/judo-00028-6-oclr.png"/></td>
<td><img class="round" width="190px" src="./images/davis/gold-fish-00063-6-oclr.png"/></td>
<td><img class="round" width="190px" src="./images/davis/blackswan-00002-6-oclr.png"/></td>
<td><img class="round" width="190px" src="./images/davis/mbike-trick-00078-6-oclr.png"/></td>
</tr>
<tr>
<td align="right">Ours</td>
<td><img class="round" width="190px" src="./images/davis/resized-bike-packing-00039-6-our.png"/></td>
<td><img class="round" width="190px" src="./images/davis/judo-00028-6-our.png"/></td>
<td><img class="round" width="190px" src="./images/davis/gold-fish-00063-6-our.png"/></td>
<td><img class="round" width="190px" src="./images/davis/blackswan-00002-6-our.png"/></td>
<td><img class="round" width="190px" src="./images/davis/mbike-trick-00078-6-our.png"/></td>
</tr>
<tr>
<td align="right">Ours-M</td>
<td><img class="round" width="190px" src="./images/davis/resized-bike-packing-00039-6-clus.png"/></td>
<td><img class="round" width="190px" src="./images/davis/judo-00028-6-clus.png"/></td>
<td><img class="round" width="190px" src="./images/davis/gold-fish-00063-6-clus.png"/></td>
<td><img class="round" width="190px" src="./images/davis/blackswan-00002-6-clus.png"/></td>
<td><img class="round" width="190px" src="./images/davis/mbike-trick-00078-6-clus.png"/></td>
</tr>
</center>
</table>
<br>
<ul style="list-style-type: none;">
<li><p style="text-align: justify;"><strong>KITTI Dataset</strong></p></li>
</ul>
<table align=center style="font-family: 'Google Sans', sans-serif; font-size: 1.1em ">
<center>
<tr>
<td align="right">RGB</td>
<td><img class="round" width="190px" height="100px" src="./images/kitti/000017_A0_img.png"/></td>
<td><img class="round" width="190px" height="100px" src="./images/kitti/000002_A0_img.png"/></td>
<td><img class="round" width="190px" height="100px" src="./images/kitti/000156_A0_img.png"/></td>
<!-- <td><img class="round" width="190px" height="100px" src="./images/kitti/000045_A0_img.png"/></td> -->
<td><img class="round" width="190px" height="100px" src="./images/kitti/000086_A0_img.png"/></td>
<td><img class="round" width="190px" height="100px" src="./images/kitti/000059_A0_img.png"/></td>
</tr>
<tr>
<td align="right">Ours</td>
<td><img class="round" width="190px" height="100px" src="./images/kitti/000017_A1_blend.png"/></td>
<td><img class="round" width="190px" height="100px" src="./images/kitti/000002_A1_blend.png"/></td>
<td><img class="round" width="190px" height="100px" src="./images/kitti/000156_A1_blend.png"/></td>
<!-- <td><img class="round" width="190px" height="100px" src="./images/kitti/000045_A1_blend.png"/></td> -->
<td><img class="round" width="190px" height="100px" src="./images/kitti/000086_A1_blend.png"/></td>
<td><img class="round" width="190px" height="100px" src="./images/kitti/000059_A1_blend.png"/></td>
</tr>
<tr>
<td align="right">Our depth</td>
<td><img class="round" width="190px" height="100px" src="./images/kitti/000017_A5_depth.png"/></td>
<td><img class="round" width="190px" height="100px" src="./images/kitti/000002_A5_depth.png"/></td>
<td><img class="round" width="190px" height="100px" src="./images/kitti/000156_A5_depth.png"/></td>
<!-- <td><img class="round" width="190px" height="100px" src="./images/kitti/000045_A1_blend.png"/></td> -->
<td><img class="round" width="190px" height="100px" src="./images/kitti/000086_A5_depth.png"/></td>
<td><img class="round" width="190px" height="100px" src="./images/kitti/000059_A5_depth .png"/></td>
</tr>
</center>
</table>
</td>
</tr>
</center>
</table>
<hr>
<div class="container is-max-desktop content" >
<h2 class="bibtex" style="font-size:32px; font-weight:400;">BibTeX</h2>
<pre style="background-color: #f5f5f5; color: #4a4a4a; font-size: 1.1em; overflow-x: auto;"><code >@InProceedings{safadoust2023ICCV,
author = {Safadoust, Sadra and Güney, Fatma},
title = {Multi-Object Discovery by Low-Dimensional Object Motion},
booktitle = {Proceedings of the IEEE/CVF International Conference on Computer Vision (ICCV)},
year = {2023},
}</code></pre>
</div>
<br>
<hr>
<table align=center width=880px style="font-family: 'Google Sans', sans-serif; font-size: 1.1em ">
<center><h1>Acknowledgements</h1></center>
<tr>
<td><p style="text-align: justify;">
We would like to thank <a href= "https://research.google/people/RichardTucker/">Richard Tucker</a> and <a href="http://rsbowen.github.io/">Richard Strong Bowen</a> for providing technical details about the <a href="https://dimensions-of-motion.github.io/">Dimensions of Motion</a> paper.
Sadra Safadoust was supported by KUIS AI Center and UNVEST R&D Center.</p>
</td>
</tr>
</table>
<br>
<br>
<table align=center width=1000px style="font-family: 'Google Sans', sans-serif; font-size: 0.9em ">
<tr>
<td align="center">
The website template was borrowed from <a href="https://nerfstereo.github.io/"> nerfstereo.</a> </p>
</td>
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</table>
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