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<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>From local to global: Edge profiles to camera motion in blurred images</title>
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<body data-gr-c-s-loaded="true">
<h1 style="text-align:center">
From local to global: Edge profiles to camera motion in blurred images
</h1>
<p style="text-align:center">
<font color="#000000" size="3">
<a href="http://www.ee.iitm.ac.in/~ee13d050/">Subeesh Vasu</a> <a href="http://www.ee.iitm.ac.in/~raju/">A.N. Rajagopalan</a>
</font>
</p>
<br>
<table align="center">
<tbody><tr>
<td>
<a href="images/circles_blrd.png"><img src="images/circles_blrd.png" width="400"></a>
</td>
<td class="style1" style="width: 378px">
<a href="images/prediction_img.png"><img src="images/prediction_img.png" width="400"></a>
</td>
<td class="style1" valign="bottom">
<a href="images/ep_image.png"><img src="images/ep_image.png" width="400"></a>
</td>
<td class="style1" valign="bottom">
<a href="images/circles_epAlone.jpg"><img src="images/circles_epAlone.jpg" width="400"></a>
</td>
</tr>
<tr>
<td class="style1">Input blurred image</td>
<td class="style1"> Latent image prediction</td>
<td class="style1">Edge profile image</td>
<td class="style1">Deblurred output </td>
</tr>
</tbody></table>
<br>
<p><strong><span><font size="4">Abstract</font></span></strong></p>
<p>
In this work, we investigate the relation between the edge profiles present in a motion blurred image and the underlying camera motion responsible for causing the motion blur.
While related works on camera motion estimation (CME) rely on the strong assumption of space-invariant blur, we handle the challenging case of general camera motion. We
first show how edge profiles `alone' can be harnessed to perform direct CME from a single observation. While it is routine for conventional methods to jointly estimate the latent
image too through alternating minimization, our above scheme is best-suited when such a pursuit is either impractical or inefficacious. For applications that actually favor
an alternating minimization strategy, the edge profiles canserve as a valuable cue. We incorporate a suitably derived constraint from edge profiles into an existing blind deblurring
framework and demonstrate improved restoration performance. Experiments reveal that this approach yields state-of-the-art results for the blind deblurring problem.
</p>
<br>
<hr>
<p><strong><font size="4">Technical Paper, Supplementary, Poster, and Bibtex</font></strong></p>
Subeesh Vasu and A.N. Rajagopalan, "From local to global: Edge profiles to camera motion in blurred images", IEEE
International Conference on Computer Vision (<b><i>CVPR</i></b>), 2017
<br><br><img alt="" src="images/Adobe_pdf_icon.png" height="45" width="45">
<a href="https://drive.google.com/file/d/1dECEM_5LYAWq83t1FdTVr7LyEgXl_tfj/view?usp=sharing">Main paper</a>
<br><br><img alt="" src="images/Adobe_pdf_icon.png" height="45" width="45">
<a href="https://drive.google.com/file/d/1ugZGw1yuhB5KMkqUP2_mxtudqtj9rX2V/view?usp=sharing">Supplementary material</a>
<br><br><img alt="" src="images/Adobe_pdf_icon.png" height="45" width="45">
<a href="https://drive.google.com/file/d/1LWL4KLQbRhhkRrIQmr7owBXD3z5Xvy_h/view?usp=sharing">Poster</a>
<br><br><img alt="" src= height="45" width="45">
<a href="pdf/2017_Subeesh_From_cvpr_bibtex.txt">BibTex</a>
<a href="https://drive.google.com/file/d/14OnEmEBUnigb_tM-S2d6oBn1eGTV9Igb/view?usp=sharing">Results on Kohler Dataset [8]</a>
<a href="https://drive.google.com/file/d/11bvecycLwBY9Z3ZqOzeB-JEIOaLoNVDY/view?usp=sharing">Results on Lai Synthetic Non-uniform Blur Dataset [9]</a>
<br><br><table align="center">
<tbody align="center">
<hr>
<p><strong><span><font size="4">Experimental Results</font></span></strong></p>
<br>
<p class="style1"><strong>Synthetic example</strong></p>
<table align="center">
<tbody>
<tr>
<td>
<a href="images/circles_blrd.png"><img alt="" src="images/circles_blrd.png" width="390"></a>
</td>
<td>
<a href="images/circles_dblrd_Xu_2013.png"><img alt="" src="images/circles_dblrd_Xu_2013.png" width="390"></a>
</td>
<td>
<a href="images/circles_epAlone.jpg"><img alt="" src="images/circles_epAlone.jpg" width="390"></a>
</td>
<td>
<a href="images/circles_dblrd_Xu_Ep.jpg"><img alt="" src="images/circles_dblrd_Xu_Ep.jpg" width="390"></a>
</td>
</tr>
<tr>
<td>
<a href="images/circles_blrd_patch.png"><img alt="" src="images/circles_blrd_patch.png" width="390"></a>
</td>
<td>
<a href="images/circles_dblrd_Xu_2013_patch.png"><img alt="" src="images/circles_dblrd_Xu_2013_patch.png" width="390"></a>
</td>
<td>
<a href="images/circles_epAlone_patch.png"><img alt="" src="images/circles_epAlone_patch.png" width="390"></a>
</td>
<td>
<a href="images/circles_dblrd_Xu_Ep_patch.png"><img alt="" src="images/circles_dblrd_Xu_Ep_patch.png" width="390"></a>
</td>
</tr>
<tr>
<td class="style1" style="height: 22px">Blurred image</td>
<td class="style1" style="height: 22px">Xu et al. CVPR 2013 </td>
<td class="style1" style="height: 22px">Ours - EpAlone</td>
<td class="style1" style="height: 22px">Ours - Xu + Ep</td>
</tr>
<tr>
<td>
<a href=""><img alt="" src="" width="390"></a>
</td>
<td>
<a href="images/xu_2013_krnls.png"><img alt="" src="images/xu_2013_krnls.png" width="390"></a>
</td>
<td>
<a href="images/epAlone_krnls.png"><img alt="" src="images/epAlone_krnls.png" width="390"></a>
</td>
<td>
<a href="images/Xu_Ep_krnls.png"><img alt="" src="images/Xu_Ep_krnls.png" width="390"></a>
</td>
</tr>
<tr>
<td class="style1" style="height: 22px"></td>
<td class="style1" style="height: 22px">Estimated kernels - Xu et al. CVPR 2013 </td>
<td class="style1" style="height: 22px">Estimated kernels - EpAlone</td>
<td class="style1" style="height: 22px">Estimated kernels - Xu + Ep</td>
</tr>
</tbody>
</table>
<br>
<br>
<p class="style1"><strong>Real examples</strong></p>
<table align="center">
<tbody>
<tr>
<td>
<a href="images/car_forest_pan_2016_SV.jpg"><img alt="" src="images/car_forest_pan_2016_SV.jpg" width="275"></a>
</td>
<td>
<a href="images/car_forest_Whyte.jpg"><img alt="" src="images/car_forest_Whyte.jpg" width="275"></a>
</td>
<td>
<a href="images/car_forest_Xu_2013.jpg"><img alt="" src="images/car_forest_Xu_2013.jpg" width="275"></a>
</td>
<td>
<a href="images/car_forest_Pan_2016.jpg"><img alt="" src="images/car_forest_Pan_2016.jpg" width="275"></a>
</td>
<td>
<a href="images/car_forest_ePAlone.jpg"><img alt="" src="images/car_forest_ePAlone.jpg" width="275"></a>
</td>
<td>
<a href="images/car_forest_Xu_Ep.jpg"><img alt="" src="images/car_forest_Xu_Ep.jpg" width="275"></a>
</td>
</tr>
<tr>
<td class="style1" style="height: 22px">Blurred image</td>
<td class="style1" style="height: 22px;">Whyte et al. CVPR 2010</td>
<td class="style1" style="height: 22px">Xu et al. CVPR 2013 </td>
<td class="style1" style="height: 22px">Pan et al. CVPR 2016 </td>
<td class="style1" style="height: 22px">Ours - EpAlone</td>
<td class="style1" style="height: 22px">Ours - Xu + Ep</td>
</tr>
</tbody>
</table>
<br>
<br>
<table align="center">
<tbody>
<tr>
<td>
<a href="images/blurred2.jpg"><img alt="" src="images/blurred2.jpg" width="330"></a>
</td>
<td>
<a href="images/blrd2_Gupta.jpg"><img alt="" src="images/blrd2_Gupta.jpg" width="330"></a>
</td>
<td>
<a href="images/blrd2_Xu_2013.png"><img alt="" src="images/blrd2_Xu_2013.png" width="330"></a>
</td>
<td>
<a href="images/blrd2_ePAlone.jpg"><img alt="" src="images/blrd2_ePAlone.jpg" width="330"></a>
</td>
<td>
<a href="images/blrd2_Xu_Ep.jpg"><img alt="" src="images/blrd2_Xu_Ep.jpg" width="330"></a>
</td>
</tr>
<tr>
<td class="style1" style="height: 22px">Blurred image</td>
<td class="style1" style="height: 22px;">Gupta et al. ECCV 2010</td>
<td class="style1" style="height: 22px">Xu et al. CVPR 2013 </td>
<td class="style1" style="height: 22px">Ours - EpAlone</td>
<td class="style1" style="height: 22px">Ours - Xu + Ep</td>
</tr>
</tbody>
</table>
<br>
<br>
<table align="center">
<tbody>
<tr>
<td>
<a href="images/blurred1.jpg"><img alt="" src="images/blurred1.jpg" width="330"></a>
</td>
<td>
<a href="images/blrd1_Gupta.jpg"><img alt="" src="images/blrd1_Gupta.jpg" width="330"></a>
</td>
<td>
<a href="images/blrd1_Xu_2013.png"><img alt="" src="images/blrd1_Xu_2013.png" width="330"></a>
</td>
<td>
<a href="images/blrd1_ePAlone.jpg"><img alt="" src="images/blrd1_ePAlone.jpg" width="330"></a>
</td>
<td>
<a href="images/blrd1_Xu_Ep.jpg"><img alt="" src="images/blrd1_Xu_Ep.jpg" width="330"></a>
</td>
</tr>
<tr>
<td class="style1" style="height: 22px">Blurred image</td>
<td class="style1" style="height: 22px;">Gupta et al. ECCV 2010</td>
<td class="style1" style="height: 22px">Xu et al. CVPR 2013 </td>
<td class="style1" style="height: 22px">Ours - EpAlone</td>
<td class="style1" style="height: 22px">Ours - Xu + Ep</td>
</tr>
</tbody>
</table>
<br>
<table align="center">
<tbody>
<tr>
<td>
<a href="images/blurred3_SV.jpg"><img alt="" src="images/blurred3_SV.jpg" width="235"></a>
</td>
<td>
<a href="images/blrd3_Gupta.jpg"><img alt="" src="images/blrd3_Gupta.jpg" width="235"></a>
</td>
<td>
<a href="images/blrd3_Whyte.jpg"><img alt="" src="images/blrd3_Whyte.jpg" width="235"></a>
</td>
<td>
<a href="images/blrd3_Xu_2013.jpg"><img alt="" src="images/blrd3_Xu_2013.jpg" width="235"></a>
</td>
<td>
<a href="images/blrd3_Pan_2016.jpeg"><img alt="" src="images/blrd3_Pan_2016.jpeg" width="235"></a>
</td>
<td>
<a href="images/blrd3_ePAlone.jpg"><img alt="" src="images/blrd3_ePAlone.jpg" width="235"></a>
</td>
<td>
<a href="images/blrd3_Xu_Ep.jpg"><img alt="" src="images/blrd3_Xu_Ep.jpg" width="235"></a>
</td>
</tr>
<tr>
<td class="style1" style="height: 22px">Blurred image</td>
<td class="style1" style="height: 22px;">Gupta et al. ECCV 2010</td>
<td class="style1" style="height: 22px;">Whyte et al. CVPR 2010</td>
<td class="style1" style="height: 22px">Xu et al. CVPR 2013 </td>
<td class="style1" style="height: 22px">Pan et al. CVPR 2016 </td>
<td class="style1" style="height: 22px">Ours - EpAlone</td>
<td class="style1" style="height: 22px">Ours - Xu + Ep</td>
</tr>
</tbody>
</table>
<br>
<br>
<table align="center">
<tbody>
<tr>
<td>
<a href="images/blrd4_Gupta.jpg"><img alt="" src="images/blrd4_Gupta.jpg" width="330"></a>
</td>
<td>
<a href="images/blurred_r4_gpta.jpg"><img alt="" src="images/blurred_r4_gpta.jpg" width="330"></a>
</td>
<td>
<a href="images/blrd4_Xu_2013.png"><img alt="" src="images/blrd4_Xu_2013.png" width="330"></a>
</td>
<td>
<a href="images/blrd4_ePAlone.jpg"><img alt="" src="images/blrd4_ePAlone.jpg" width="330"></a>
</td>
<td>
<a href="images/blrd4_Xu_Ep.jpg"><img alt="" src="images/blrd4_Xu_Ep.jpg" width="330"></a>
</td>
</tr>
<tr>
<td class="style1" style="height: 22px">Blurred image</td>
<td class="style1" style="height: 22px;">Gupta et al. ECCV 2010</td>
<td class="style1" style="height: 22px">Xu et al. CVPR 2013 </td>
<td class="style1" style="height: 22px">Ours - EpAlone</td>
<td class="style1" style="height: 22px">Ours - Xu + Ep</td>
</tr>
</tbody>
</table>
<br>
<br>
<table align="center">
<tbody>
<tr>
<td>
<a href="images/Butcher_Shopc_sv.jpg"><img alt="" src="images/Butcher_Shopc_sv.jpg" width="235"></a>
</td>
<td>
<a href="images/Butcher_hammrlin.jpg"><img alt="" src="images/Butcher_hammrlin.jpg" width="235"></a>
</td>
<td>
<a href="images/Butcher_Hirsch.jpg"><img alt="" src="images/Butcher_Hirsch.jpg" width="235"></a>
</td>
<td>
<a href="images/Butcher_Xu_2013.png"><img alt="" src="images/Butcher_Xu_2013.png" width="235"></a>
</td>
<td>
<a href="images/Butcher_schuler.png"><img alt="" src="images/Butcher_schuler.png" width="235"></a>
</td>
<td>
<a href="images/Butcher_ePAlone.jpg"><img alt="" src="images/Butcher_ePAlone.jpg" width="235"></a>
</td>
<td>
<a href="images/Butcher_Xu_Ep.jpg"><img alt="" src="images/Butcher_Xu_Ep.jpg" width="235"></a>
</td>
</tr>
<tr>
<td class="style1" style="height: 22px">Blurred image</td>
<td class="style1" style="height: 22px;">Harmeling et al. NIPS 2010</td>
<td class="style1" style="height: 22px;">Hirsch et al. ICCV 2011</td>
<td class="style1" style="height: 22px">Xu et al. CVPR 2013 </td>
<td class="style1" style="height: 22px">Schuler et al. PAMI 2016 </td>
<td class="style1" style="height: 22px">Ours - EpAlone</td>
<td class="style1" style="height: 22px">Ours - Xu + Ep</td>
</tr>
</tbody>
</table>
<br>
<br>
<table align="center">
<tbody>
<tr>
<td>
<a href="images/Pantheon.jpg"><img alt="" src="images/Pantheon.jpg" width="235"></a>
</td>
<td>
<a href="images/Pantheon_Whyte.jpg"><img alt="" src="images/Pantheon_Whyte.jpg" width="235"></a>
</td>
<td>
<a href="images/Pantheon_Hirsch.jpg"><img alt="" src="images/Pantheon_Hirsch.jpg" width="235"></a>
</td>
<td>
<a href="images/Pantheon_Xu_2013.png"><img alt="" src="images/Pantheon_Xu_2013.png" width="235"></a>
</td>
<td>
<a href="images/Pantheon_schuler.png"><img alt="" src="images/Pantheon_schuler.png" width="235"></a>
</td>
<td>
<a href="images/Pantheon_ePAlone.jpg"><img alt="" src="images/Pantheon_ePAlone.jpg" width="235"></a>
</td>
<td>
<a href="images/Pantheon_Xu_Ep.jpg"><img alt="" src="images/Pantheon_Xu_Ep.jpg" width="235"></a>
</td>
</tr>
<tr>
<td class="style1" style="height: 22px">Blurred image</td>
<td class="style1" style="height: 22px;">Whyte et al. CVPR 2010</td>
<td class="style1" style="height: 22px;">Hirsch et al. ICCV 2011</td>
<td class="style1" style="height: 22px">Xu et al. CVPR 2013 </td>
<td class="style1" style="height: 22px">Schuler et al. PAMI 2016 </td>
<td class="style1" style="height: 22px">Ours - EpAlone</td>
<td class="style1" style="height: 22px">Ours - Xu + Ep</td>
</tr>
</tbody>
</table>
<br>
<br>
<table align="center">
<tbody>
<tr>
<td>
<a href="images/Pertol_Station_SV.jpg"><img alt="" src="images/Pertol_Station_SV.jpg" width="235"></a>
</td>
<td>
<a href="images/pt_stn_Gupta.jpg"><img alt="" src="images/pt_stn_Gupta.jpg" width="235"></a>
</td>
<td>
<a href="images/pt_stn_Whyte.jpeg"><img alt="" src="images/pt_stn_Whyte.jpeg" width="235"></a>
</td>
<td>
<a href="images/pt_stn_Xu_2013.png"><img alt="" src="images/pt_stn_Xu_2013.png" width="235"></a>
</td>
<td>
<a href="images/pt_stn_Pan_2016.jpeg"><img alt="" src="images/pt_stn_Pan_2016.jpeg" width="235"></a>
</td>
<td>
<a href="images/pt_stn_ePAlone.jpg"><img alt="" src="images/pt_stn_ePAlone.jpg" width="235"></a>
</td>
<td>
<a href="images/pt_stn_Xu_Ep.jpg"><img alt="" src="images/pt_stn_Xu_Ep.jpg" width="235"></a>
</td>
</tr>
<tr>
<td class="style1" style="height: 22px">Blurred image</td>
<td class="style1" style="height: 22px;">Gupta et al. ECCV 2010</td>
<td class="style1" style="height: 22px;">Whyte et al. CVPR 2010</td>
<td class="style1" style="height: 22px">Xu et al. CVPR 2013 </td>
<td class="style1" style="height: 22px">Pan et al. CVPR 2016 </td>
<td class="style1" style="height: 22px">Ours - EpAlone</td>
<td class="style1" style="height: 22px">Ours - Xu + Ep</td>
</tr>
</tbody>
</table>
<br>
<br>
<table align="center">
<tbody>
<tr>
<td>
<a href="images/Vintage_Carc.jpg"><img alt="" src="images/Vintage_Carc.jpg" width="330"></a>
</td>
<td>
<a href="images/Vintage_Carc_hammer.png"><img alt="" src="images/Vintage_Carc_hammer.png" width="330"></a>
</td>
<td>
<a href="images/Vintage_Carc_Xu_2013.png"><img alt="" src="images/Vintage_Carc_Xu_2013.png" width="330"></a>
</td>
<td>
<a href="images/Vintage_Carc_epAlone.jpg"><img alt="" src="images/Vintage_Carc_epAlone.jpg" width="330"></a>
</td>
<td>
<a href="images/Vintage_Carc_Xu_Ep.jpg"><img alt="" src="images/Vintage_Carc_Xu_Ep.jpg" width="330"></a>
</td>
</tr>
<tr>
<td class="style1" style="height: 22px">Blurred image</td>
<td class="style1" style="height: 22px;">Harmeling et al. NIPS 2010</td>
<td class="style1" style="height: 22px">Xu et al. CVPR 2013 </td>
<td class="style1" style="height: 22px">Ours - EpAlone</td>
<td class="style1" style="height: 22px">Ours - Xu + Ep</td>
</tr>
</tbody>
</table>
<br>
<br>
<p><strong><font size="4">References</font></strong></p>
<p>[1] O. Whyte, J. Sivic, A. Zisserman, and J. Ponce. “Non-uniform deblurring for shaken images”, CVPR 2010.</p>
<p>[2] A. Gupta, N. Joshi, L. Zitnick, M. Cohen, and B. Curless. “Single image deblurring using motion density functions”, ECCV 2010.</p>
<p>[3] S. Harmeling, H. Michael, and B. Sch ̈olkopf. “Space-variant single-image blind deconvolution for removing camera shake”, NIPS 2010.</p>
<p>[4] M. Hirsch, C. J. Schuler, S. Harmeling, and B. Sch ̈olkopf. “Fast removal of non-uniform camera shake”, ICCV 2011.</p>
<p>[5] L. Xu, S. Zheng, and J. Jia. “Unnatural <em>l</em><sub>0</sub> sparse representation for natural image deblurring”, CVPR 2013.</p>
<p>[6] J. Pan, D. Sun, H. Pfister, and M.-H. Yang. “Blind image deblurring using dark channel prior”, CVPR 2016.</p>
<p>[7] C. J. Schuler, M. Hirsch, S. Harmeling, and B. Sch ̈olkopf. “Learning to deblur.”, PAMI 2016.</p>
<p>[8] Köhler, R, et al. “Recording and playback of camera shake: Benchmarking blind deconvolution with a real-world database.”, ECCV 2012.</p>
<p>[9] Lai, Wei-Sheng, et al. “A comparative study for single image blind deblurring.”, CVPR 2016.</p>
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