Non-Rigid Puzzles
Shape correspondence is a fundamental problem in computer graphics and vision, with applications in various problems including animation, texture mapping, robotic vision, medical imaging, archaeology and many more. In settings where the shapes are allowed to undergo non‐rigid deformations and only p...
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| Vydáno v: | Computer graphics forum Ročník 35; číslo 5; s. 135 - 143 |
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| Hlavní autoři: | , , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Oxford
Blackwell Publishing Ltd
01.08.2016
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| ISSN: | 0167-7055, 1467-8659 |
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| Abstract | Shape correspondence is a fundamental problem in computer graphics and vision, with applications in various problems including animation, texture mapping, robotic vision, medical imaging, archaeology and many more. In settings where the shapes are allowed to undergo non‐rigid deformations and only partial views are available, the problem becomes very challenging. To this end, we present a non‐rigid multi‐part shape matching algorithm. We assume to be given a reference shape and its multiple parts undergoing a non‐rigid deformation. Each of these query parts can be additionally contaminated by clutter, may overlap with other parts, and there might be missing parts or redundant ones. Our method simultaneously solves for the segmentation of the reference model, and for a dense correspondence to (subsets of) the parts. Experimental results on synthetic as well as real scans demonstrate the effectiveness of our method in dealing with this challenging matching scenario. |
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| AbstractList | Shape correspondence is a fundamental problem in computer graphics and vision, with applications in various problems including animation, texture mapping, robotic vision, medical imaging, archaeology and many more. In settings where the shapes are allowed to undergo non‐rigid deformations and only partial views are available, the problem becomes very challenging. To this end, we present a non‐rigid multi‐part shape matching algorithm. We assume to be given a reference shape and its multiple parts undergoing a non‐rigid deformation. Each of these query parts can be additionally contaminated by clutter, may overlap with other parts, and there might be missing parts or redundant ones. Our method simultaneously solves for the segmentation of the reference model, and for a dense correspondence to (subsets of) the parts. Experimental results on synthetic as well as real scans demonstrate the effectiveness of our method in dealing with this challenging matching scenario. |
| Author | Bronstein, M. M. Cremers, D. Rodolà, E. Litany, O. Bronstein, A. M. |
| Author_xml | – sequence: 1 givenname: O. surname: Litany fullname: Litany, O. organization: Tel Aviv Univeristy, Israel – sequence: 2 givenname: E. surname: Rodolà fullname: Rodolà, E. organization: University of Lugano, Switzerland – sequence: 3 givenname: A. M. surname: Bronstein fullname: Bronstein, A. M. organization: Technion, Israel – sequence: 4 givenname: M. M. surname: Bronstein fullname: Bronstein, M. M. organization: University of Lugano, Switzerland – sequence: 5 givenname: D. surname: Cremers fullname: Cremers, D. organization: TU Munich, Germany |
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| Cites_doi | 10.1002/cpa.3160420503 10.1109/CVPR.2014.491 10.1016/j.gmod.2013.11.003 10.1111/j.1467-8659.2011.01884.x 10.1109/CVPR.2015.7298647 10.1111/cgf.12066 10.1109/ICCVW.2015.112 10.1073/pnas.0508601103 10.1145/1141911.1141925 10.1016/j.patcog.2015.01.020 10.1111/cgf.12435 10.1109/ICCV.2013.149 10.1109/CVPR.2015.7298631 10.1109/ISMAR.2011.6092378 10.1111/j.1467-8659.2011.02021.x 10.1145/2601097.2601111 10.1111/cgf.12084 10.1111/cgf.12796 10.1007/978-3-642-15558-1_26 10.1111/cgf.12278 10.1145/1360612.1360684 10.1023/A:1020874308076 10.1109/CVPR.2011.5995565 10.1145/258734.258849 10.1111/j.1467-8659.2008.01282.x 10.1111/cgf.12734 10.1111/j.1467-8659.2009.01515.x 10.1109/ICCVW.2011.6130444 10.1109/CVPR.2012.6247674 10.1109/CVPRW.2008.4563077 10.1109/IROS.2013.6696650 10.1007/978-3-642-33863-2_1 10.1145/2185520.2185526 10.1007/s11263-008-0147-3 |
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| References | Bronstein A., Bronstein M., Bruckstein A., Kimmel R.: Partial similarity of objects, or how to compare a centaur to a horse. IJCV 84, 2 (2009), 163-183. 2 Pokrass J., Bronstein A.M., Bronstein M.M., Sprechmann P., Sapiro G.: Sparse modeling of intrinsic correspondences. Computer Graphics Forum 32, 2pt4 (2013), 459-468. 3 Mumford D., Shah J.: Optimal approximations by piecewise smooth functions and associated variational problems. Comm. Pure and Applied Math. 42, 5 (1989), 577-685. 2 Vese L.A., Chan T. F.: A multiphase level set framework for image segmentation using the Mumford and Shah model. IJCV 50, 3 (2002), 271-293. 2 AIGER D., MITRA N.J., COHEN-OR D.: 4-points congruent sets for robust pairwise surface registration. TOG 27, 3 (2008), 85. 2 van Kaick O., Zhang H., Hamarneh G., Cohen-Or D.: A survey on shape correspondence. Computer Graphics Forum 30, 6 (2011), 1681-1707. 1, 2 Brunton A., Wand M., Wuhrer S., Seidel H.-P., Weinkauf T.: A low-dimensional representation for robust partial isometric correspondences computation. Graphical Models 76, 2 (2014), 70-85. 2 Ovsjanikov M., Ben-Chen M., Solomon J., Butscher A., Guibas L.: Functional maps: a flexible representation of maps between shapes. ACM Trans. Graph. 31, 4 (July 2012), 30:1-30:11. 2, 3 Huang Q.-X., Flöry S., Gelfand N., Hofer M., Pottmann H.: Reassembling fractured objects by geometric matching. TOG 25, 3 (2006), 569-578. 2 Sahillioğlu Y., Yemez Y.: Partial 3-d correspondence from shape extremities. Computer Graphics Forum 33, 6 (2014), 63-76. 2 Bronstein A.M., Bronstein M.M., Kimmel R.: Generalized multidimensional scaling: a framework for isometry-invariant partial surface matching. PNAS 103, 5 (2006), 1168-1172. 2 van Kaick O., Zhang H., Hamarneh G.: Bilateral maps for partial matching. Computer Graphics Forum 32, 6 (2013), 189-200. 2 Albarelli A., Rodolà E., Torsello A.: Fast and accurate surface alignment through an isometry-enforcing game. Pattern Recognition 48 (2015), 2209-2226. 2 Bronstein A., Bronstein M., Kimmel R.: Numerical Geometry of Non-Rigid Shapes. Springer, 2008. 6 Boumal N., Mishra B., Absil P.-A., Sepulchre R.: Manopt, a Matlab toolbox for optimization on manifolds. Journal of Machine Learning Research 15 (2014), 1455-1459. URL: http://www.manopt.org. 5 Rodolà E., Bulò S. R., Cremers D.: Robust region detection via consensus segmentation of deformable shapes. Computer Graphics Forum 33, 5 (2014), 97-106. 6 Windheuser T., Schlickewei U., Schmidt F.R., Cremers D.: Large-scale integer linear programming for orientation preserving 3d shape matching. Computer Graphics Forum 30, 5 (2011), 1471-1480. 2 Huang Q., Wang F., Guibas L. J.: Functional map networks for analyzing and exploring large shape collections. TOG 33 4 (2014), 36. 2 Kovnatsky A., Bronstein M., Bronstein A., Glashoff K., Kimmel R.: Coupled quasi-harmonic bases. Comput. Graph. Forum 32, 2pt4 (2013), 439-448. 3 1989; 42 2012 2011 2010 2002; 50 2009 2008 1997 2011; 30 2012; 31 32 1911 2015; 48 2013; 32 2008; 27 2006; 25 2014; 15 2016 2015 2014 2013 2009; 2 2014; 33 2006; 103 2014; 76 e_1_2_8_27_2 e_1_2_8_28_2 Bronstein A. (e_1_2_8_9_2) 2008 e_1_2_8_29_2 e_1_2_8_23_2 e_1_2_8_46_2 e_1_2_8_24_2 e_1_2_8_45_2 e_1_2_8_25_2 e_1_2_8_26_2 Sahillioğlu Y. (e_1_2_8_37_2) 2014 e_1_2_8_2_2 e_1_2_8_4_2 e_1_2_8_3_2 e_1_2_8_6_2 e_1_2_8_5_2 e_1_2_8_8_2 e_1_2_8_7_2 e_1_2_8_42_2 e_1_2_8_20_2 e_1_2_8_41_2 e_1_2_8_44_2 e_1_2_8_22_2 e_1_2_8_43_2 Kovnatsky A. (e_1_2_8_21_2); 32 e_1_2_8_40_2 e_1_2_8_16_2 e_1_2_8_39_2 e_1_2_8_17_2 e_1_2_8_38_2 e_1_2_8_18_2 e_1_2_8_12_2 e_1_2_8_35_2 e_1_2_8_13_2 e_1_2_8_34_2 e_1_2_8_14_2 e_1_2_8_15_2 e_1_2_8_36_2 Boumal N. (e_1_2_8_11_2) 2014; 15 Huang Q.‐X. (e_1_2_8_19_2) 2013 e_1_2_8_31_2 e_1_2_8_30_2 e_1_2_8_10_2 e_1_2_8_33_2 e_1_2_8_32_2 |
| References_xml | – reference: Bronstein A., Bronstein M., Bruckstein A., Kimmel R.: Partial similarity of objects, or how to compare a centaur to a horse. IJCV 84, 2 (2009), 163-183. 2 – reference: Sahillioğlu Y., Yemez Y.: Partial 3-d correspondence from shape extremities. Computer Graphics Forum 33, 6 (2014), 63-76. 2 – reference: Boumal N., Mishra B., Absil P.-A., Sepulchre R.: Manopt, a Matlab toolbox for optimization on manifolds. Journal of Machine Learning Research 15 (2014), 1455-1459. URL: http://www.manopt.org. 5 – reference: Rodolà E., Bulò S. R., Cremers D.: Robust region detection via consensus segmentation of deformable shapes. Computer Graphics Forum 33, 5 (2014), 97-106. 6 – reference: van Kaick O., Zhang H., Hamarneh G.: Bilateral maps for partial matching. Computer Graphics Forum 32, 6 (2013), 189-200. 2 – reference: van Kaick O., Zhang H., Hamarneh G., Cohen-Or D.: A survey on shape correspondence. Computer Graphics Forum 30, 6 (2011), 1681-1707. 1, 2 – reference: Bronstein A.M., Bronstein M.M., Kimmel R.: Generalized multidimensional scaling: a framework for isometry-invariant partial surface matching. PNAS 103, 5 (2006), 1168-1172. 2 – reference: Bronstein A., Bronstein M., Kimmel R.: Numerical Geometry of Non-Rigid Shapes. Springer, 2008. 6 – reference: Huang Q., Wang F., Guibas L. J.: Functional map networks for analyzing and exploring large shape collections. TOG 33 4 (2014), 36. 2 – reference: Vese L.A., Chan T. F.: A multiphase level set framework for image segmentation using the Mumford and Shah model. IJCV 50, 3 (2002), 271-293. 2 – reference: Windheuser T., Schlickewei U., Schmidt F.R., Cremers D.: Large-scale integer linear programming for orientation preserving 3d shape matching. Computer Graphics Forum 30, 5 (2011), 1471-1480. 2 – reference: Kovnatsky A., Bronstein M., Bronstein A., Glashoff K., Kimmel R.: Coupled quasi-harmonic bases. Comput. Graph. Forum 32, 2pt4 (2013), 439-448. 3 – reference: Pokrass J., Bronstein A.M., Bronstein M.M., Sprechmann P., Sapiro G.: Sparse modeling of intrinsic correspondences. Computer Graphics Forum 32, 2pt4 (2013), 459-468. 3 – reference: AIGER D., MITRA N.J., COHEN-OR D.: 4-points congruent sets for robust pairwise surface registration. TOG 27, 3 (2008), 85. 2 – reference: Albarelli A., Rodolà E., Torsello A.: Fast and accurate surface alignment through an isometry-enforcing game. Pattern Recognition 48 (2015), 2209-2226. 2 – reference: Brunton A., Wand M., Wuhrer S., Seidel H.-P., Weinkauf T.: A low-dimensional representation for robust partial isometric correspondences computation. Graphical Models 76, 2 (2014), 70-85. 2 – reference: Ovsjanikov M., Ben-Chen M., Solomon J., Butscher A., Guibas L.: Functional maps: a flexible representation of maps between shapes. ACM Trans. Graph. 31, 4 (July 2012), 30:1-30:11. 2, 3 – reference: Huang Q.-X., Flöry S., Gelfand N., Hofer M., Pottmann H.: Reassembling fractured objects by geometric matching. TOG 25, 3 (2006), 569-578. 2 – reference: Mumford D., Shah J.: Optimal approximations by piecewise smooth functions and associated variational problems. Comm. Pure and Applied Math. 42, 5 (1989), 577-685. 2 – year: 2011 – year: 2016 article-title: Partial functional correspondence – volume: 25 start-page: 569 issue: 3 year: 2006 end-page: 578 article-title: Reassembling fractured objects by geometric matching publication-title: TOG – start-page: 356 year: 2010 end-page: 369 article-title: Unique signatures of histograms for local surface description – year: 2008 article-title: Not only size matters: regularized partial matching of nonrigid shapes – volume: 2 start-page: 163 year: 2009 end-page: 183 article-title: Partial similarity of objects, or how to compare a centaur to a horse publication-title: IJCV 84 – year: 2016 article-title: Shrec’16: Partial matching of deformable shapes – volume: 33 start-page: 97 issue: 5 year: 2014 end-page: 106 article-title: Robust region detection via consensus segmentation of deformable shapes publication-title: Computer Graphics Forum – volume: 103 start-page: 1168 issue: 5 year: 2006 end-page: 1172 article-title: Generalized multidimensional scaling: a framework for isometry‐invariant partial surface matching publication-title: PNAS – year: 2012 article-title: Putting the pieces together: Regularized multi‐part shape matching – volume: 30 start-page: 1681 issue: 6 year: 2011 end-page: 1707 article-title: A survey on shape correspondence publication-title: Computer Graphics Forum – volume: 32 start-page: 459 issue: 2pt4 year: 2013 end-page: 468 article-title: Sparse modeling of intrinsic correspondences publication-title: Computer Graphics Forum – year: 2016 article-title: Consistent partial matching of shape collections via sparse modeling – start-page: 1421 year: 2008 end-page: 1430 article-title: Global correspondence optimization for non‐rigid registration of depth scans – year: 2015 article-title: Geodesic convolutional neural networks on riemannian manifolds – volume: 48 start-page: 2209 year: 2015 end-page: 2226 article-title: Fast and accurate surface alignment through an isometry‐enforcing game publication-title: Pattern Recognition – volume: 27 start-page: 85 issue: 3 year: 2008 article-title: 4‐points congruent sets for robust pairwise surface registration publication-title: TOG – volume: 15 start-page: 1455 year: 2014 end-page: 1459 article-title: Manopt, a Matlab toolbox for optimization on manifolds publication-title: Journal of Machine Learning Research – start-page: 209 year: 1997 end-page: 216 article-title: Surface simplification using quadric error metrics – start-page: 127 year: 2011 end-page: 136 article-title: Kinectfusion: Real‐time dense surface mapping and tracking – start-page: 1169 year: 2013 end-page: 1176 article-title: Elastic net constraints for shape matching – volume: 32 start-page: 2 article-title: Coupled quasi‐harmonic bases publication-title: Comput. 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| Title | Non-Rigid Puzzles |
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