Minimum-Distortion Isometric Shape Correspondence Using EM Algorithm
Open accessAbstract
We present a purely isometric method that establishes 3D correspondence between two (nearly) isometric shapes. Our method evenly samples high-curvature vertices from the given mesh representations, and then seeks an injective mapping from one vertex set to the other that minimizes the isometric distortion. We formulate the problem of shape correspondence as combinatorial optimization over the domain of all possible mappings, which then reduces in a probabilistic setting to a log-likelihood maximization problem that we solve via the Expectation-Maximization (EM) algorithm. The EM algorithm is initialized in the spectral domain by transforming the sampled vertices via classical Multidimensional Scaling (MDS). Minimization of the isometric distortion, and hence maximization of the log-likelihood function, is then achieved in the original 3D euclidean space, for each iteration of the EM algorithm, in two steps: by first using bipartite perfect matching, and then a greedy optimization algorithm. The optimal mapping obtained at convergence can be one-to-one or many-to-one upon choice. We demonstrate the performance of our method on various isometric (or nearly isometric) pairs of shapes for some of which the ground-truth correspondence is available.
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[8], [9] can handle near-to approximate isometric deformation.
“[8], [9] that can handle near-to approximateisometric deformation.”
From Registration of 3D Point Clouds and Meshes: A Survey from Rigid to Nonrigid (2013) · cites this paper as [9]
[9] sums isometric distortions all over the surface to obtain one single number.
“[9] sums these isometric distortions all over the surface to obtain one single number.”
From Registration of 3D Point Clouds and Meshes: A Survey from Rigid to Nonrigid (2013) · cites this paper as [9]
When there is no ground truth correspondence, evaluation of techniques using dataset types 1 and 2 is usually based on visual assessment by connecting sparse correspondences with lines.
“When there is no ground truth correspondences, evaluation of techniques using dataset types 1 and 2 are usually based on visual assessment by connecting spare correspondences with lines [9].”
From Registration of 3D Point Clouds and Meshes: A Survey from Rigid to Nonrigid (2013) · cites this paper as [9]
Cites
Maximum Likelihood from Incomplete Data Via the <i>EM</i> Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444 · see citing works
Shape matching and object recognition using shape contexts
Belongie, S., Malik, J., & Puzicha, J. (2002) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.993558 · Cited by 6,306 · see citing works
Some Distance Properties of Latent Root and Vector Methods Used in Multivariate Analysis
Gower, J. C. (1966) · Biometrika · doi:10.1093/biomet/53.3-4.325 · Cited by 4,274 · see citing works
Topology matching for fully automatic similarity estimation of 3D shapes
Hilaga, M., Shinagawa, Y., Kohmura, T., & Kunii, T. L. (2001) · ACM SIGGRAPH Conference (SIGGRAPH) · doi:10.1145/383259.383282 · Cited by 2,188 · see citing works
Discrete Differential-Geometry Operators for Triangulated 2-Manifolds
Meyer, M., Desbrun, M., Schröder, P., & Barr, A. H. (2003) · Mathematics and visualization · doi:10.1007/978-3-662-05105-4_2 · Cited by 1,910 · see citing works
A new point matching algorithm for non-rigid registration
Chui, H., & Rangarajan, A. (2003) · Computer Vision and Image Understanding · doi:10.1016/s1077-3142(03)00009-2 · Cited by 1,560 · see citing works
A spectral technique for correspondence problems using pairwise constraints
Leordeanu, M., & Hebert, M. (2005) · IEEE/CVF International Conference on Computer Vision (ICCV) · doi:10.1109/iccv.2005.20 · Cited by 1,242 · see citing works
Deformation transfer for triangle meshes
Sumner, R. W., & Popović, J. (2004) · ACM Transactions on Graphics · doi:10.1145/1015706.1015736 · Cited by 1,059 · see citing works
Numerical Geometry of Non-Rigid Shapes
Bronstein, A. M., Bronstein, M. M., & Kimmel, R. (2008) · Texts and monographs in computer science · doi:10.1007/978-0-387-73301-2 · Cited by 767 · see citing works
A benchmark for 3D mesh segmentation
Chen, X., Golovinskiy, A., & Funkhouser, T. A. (2009) · ACM Transactions on Graphics · doi:10.1145/1531326.1531379 · Cited by 667 · see citing works
A Survey on Shape Correspondence
van Kaick, O. M., Zhang, H., Hamarneh, G., & Cohen‐Or, D. (2011) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2011.01884.x · Cited by 606 · see citing works
Generalized multidimensional scaling: A framework for isometry-invariant partial surface matching
Bronstein, A. M., Bronstein, M. M., & Kimmel, R. (2006) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0508601103 · Cited by 555 · see citing works
Performance capture from sparse multi-view video
de Aguiar, E., Stoll, C., Theobalt, C., Ahmed, N., Seidel, H., & Thrun, S. (2008) · ACM Transactions on Graphics · doi:10.1145/1360612.1360697 · Cited by 535 · see citing works
Some Distance Properties of Latent Root and Vector Methods Used in Multivariate Analysis
Gower, J. C. (1966) · Biometrika · doi:10.2307/2333639 · Cited by 512 · see citing works
On bending invariant signatures for surfaces
Elad, A., & Kimmel, R. (2003) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2003.1233902 · Cited by 467 · see citing works
Surface feature detection and description with applications to mesh matching
Zaharescu, A., Boyer, E., Varanasi, K., & Horaud, R. (2009) · IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings · doi:10.1109/cvpr.2009.5206748 · Cited by 416 · see citing works
Blossom V: a new implementation of a minimum cost perfect matching algorithm
Kolmogorov, V. (2009) · Mathematical Programming Computation · doi:10.1007/s12532-009-0002-8 · Cited by 416 · see citing works
Feature Correspondence Via Graph Matching: Models and Global Optimization
Torresani, L., Kolmogorov, V., & Rother, C. (2008) · Lecture notes in computer science · doi:10.1007/978-3-540-88688-4_44 · Cited by 392 · see citing works
Möbius voting for surface correspondence
Lipman, Y., & Funkhouser, T. (2009) · ACM Transactions on Graphics · doi:10.1145/1531326.1531378 · Cited by 332 · see citing works
Cross-parameterization and compatible remeshing of 3D models
Kraevoy, V., & Sheffer, A. (2004) · ACM Transactions on Graphics · doi:10.1145/1015706.1015811 · Cited by 323 · see citing works
Kim, V. G., Lipman, Y., & Funkhouser, T. A. (2011) · ACM SIGGRAPH Conference (SIGGRAPH) · doi:10.1145/1964921.1964974 · Cited by 311 · see citing works
One Point Isometric Matching with the Heat Kernel
Ovsjanikov, M., Mérigot, Q., Mémoli, F., & Guibas, L. (2010) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2010.01764.x · Cited by 301 · see citing works
Kim, V. G., Lipman, Y., & Funkhouser, T. (2011) · ACM Transactions on Graphics · doi:10.1145/2010324.1964974 · Cited by 298 · see citing works
Non‐Rigid Registration Under Isometric Deformations
Huang, Q., Adams, B., Wicke, M., & Guibas, L. J. (2008) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2008.01285.x · Cited by 279 · see citing works
Efficient Computation of Isometry‐Invariant Distances Between Surfaces
Bronstein, A. M., Bronstein, M. M., & Kimmel, R. (2006) · SIAM Journal on Scientific Computing · doi:10.1137/050639296 · Cited by 241 · see citing works
Recent Advances in Mesh Morphing
Alexa, M. (2002) · Computer Graphics Forum · doi:10.1111/1467-8659.00575 · Cited by 239 · see citing works
Global Intrinsic Symmetries of Shapes
Ovsjanikov, M., Sun, J. Z., & Guibas, L. (2008) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2008.01273.x · Cited by 232 · see citing works
The Correlated Correspondence Algorithm for Unsupervised Registration of Nonrigid Surfaces
Anguelov, D., Srinivasan, P., Pang, H.-C., Koller, D., Thrun, S., & Davis, J. (2004) · Cited by 197 · see citing works
Geodesic Remeshing Using Front Propagation
Peyré, G., & Cohen, L. D. (2006) · International Journal of Computer Vision · doi:10.1007/s11263-006-6859-3 · Cited by 190 · see citing works
Articulated Shape Matching Using Laplacian Eigenfunctions and Unsupervised Point Registration
Mateus, D., Horaud, R., Knossow, D., Fabio Cuzzolin, A., & Boyer, E. (2008) · Cited by 168 · see citing works
Deformation‐Driven Shape Correspondence
Zhang, H., Sheffer, A., Cohen‐Or, D., Zhou, Q., van Kaick, O. M., & Tagliasacchi, A. (2008) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2008.01283.x · Cited by 165 · see citing works
Dense non-rigid surface registration using high-order graph matching
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Parallel algorithms for approximation of distance maps on parametric surfaces
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A benchmark for 3D mesh segmentation
Chen, X., Golovinskiy, A., & Funkhouser, T. A. (2009) · ACM SIGGRAPH Conference Papers (SIGGRAPH) · doi:10.1145/1576246.1531379 · Cited by 135 · see citing works
Partial matching of 3D shapes with priority-driven search
Funkhouser, T. A., & Shilane, P. (2006) · doi:10.5555/1281957.1281974 · Cited by 131 · see citing works
Articulated shape matching using Laplacian eigenfunctions and unsupervised point registration
Mateus, D., Horaud, R., Knossow, D., Cuzzolin, F., & Boyer, E. (2008) · IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings · doi:10.1109/cvpr.2008.4587538 · Cited by 130 · see citing works
Continuous capture of skin deformation
Sand, P., McMillan, L., & Popović, J. (2003) · ACM SIGGRAPH Conference (SIGGRAPH) · doi:10.1145/1201775.882310 · Cited by 108 · see citing works
Isometric registration of ambiguous and partial data
Tevs, A., Bokeloh, M., Wand, M., Schilling, A., & Seidel, H. (2009) · IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings · doi:10.1109/cvpr.2009.5206775 · Cited by 100 · see citing works
Möbius Transformations For Global Intrinsic Symmetry Analysis
Kim, V. G., Lipman, Y., Chen, X., & Funkhouser, T. A. (2010) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2010.01778.x · Cited by 86 · see citing works
Electors Voting for Fast Automatic Shape Correspondence
Au, O. K., Tai, C., Cohen‐Or, D., Zheng, Y., & Fu, H. (2010) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2009.01634.x · Cited by 75 · see citing works
Continuous capture of skin deformation
Sand, P., McMillan, L., & Popović, J. (2003) · ACM Transactions on Graphics · doi:10.1145/882262.882310 · Cited by 71 · see citing works
Correspondence matching with modal clusters
Carcassoni, M., & Hancock, E. R. (2003) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2003.1251153 · Cited by 69 · see citing works
Coarse‐to‐Fine Combinatorial Matching for Dense Isometric Shape Correspondence
Sahillioğlu, Y., & Yemez, Y. (2011) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2011.02020.x · Cited by 65 · see citing works
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Wang, C., Bronstein, M. M., Bronstein, A. M., & Nikos Paragios, A. (2012) · Lecture notes in computer science · doi:10.1007/978-3-642-24785-9_49 · Cited by 46 · see citing works
Evaluating Shape Correspondence for Statistical Shape Analysis: A Benchmark Study
Munsell, B. C., Dalal, P., & Wang, S. (2008) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2007.70841 · Cited by 45 · see citing works
3D Shape correspondence by isometry-driven greedy optimization
Sahillioğlu, Y., & Yemez, Y. (2010) · IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings · doi:10.1109/cvpr.2010.5540178 · Cited by 40 · see citing works
Self-citationShape matching based on diffusion embedding and on mutual isometric consistency
Sharma, A. K., & Horaud, R. (2010) · 2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops · doi:10.1109/cvprw.2010.5543278 · Cited by 32 · see citing works
Sub-sampling for Efficient Spectral Mesh Processing
Liu, R., Jain, V., & Zhang, H. (2006) · Lecture notes in computer science · doi:10.1007/11784203_15 · Cited by 22 · see citing works
Posture invariant correspondence of triangular meshes in shape space
Wuhrer, S., Chang, S., & Bose, P. (2009) · 2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops · doi:10.1109/iccvw.2009.5457426 · Cited by 12 · see citing works
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Tam, G. K. L., Cheng, Z.-Q., Lai, Y.-K., Langbein, F. C., Liu, Y., Marshall, D., Martin, R. R., Sun, X.-F., & Rosin, P. L. (2013) · IEEE Transactions on Visualization and Computer Graphics · doi:10.1109/tvcg.2012.310 · Cited by 679 · see citing works
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Wei, L., Qi-xing Huang, A., Ceylan, D., Vouga, E., & Li, H. (2016) · IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings · doi:10.1109/cvpr.2016.171 · Cited by 184 · see citing works
Melzi, S., Ren, J., Rodolà, E., Sharma, A., Wonka, P., & Ovsjanikov, M. (2019) · ACM Transactions on Graphics · doi:10.1145/3355089.3356524 · Cited by 181 · see citing works
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Litany, O., Rodolà, E., Bronstein, A. M., & Bronstein, M. M. (2017) · Computer Graphics Forum · doi:10.1111/cgf.13123 · Cited by 102 · see citing works
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Vestner, M., Lähner, Z., Boyarski, A., Litany, O., Slossberg, R., Remez, T., Rodolà, E., Bronstein, A. M., Bronstein, M. M., Kimmel, R., et al. (2017) · International Conference on 3D Vision (3DV) · doi:10.1109/3dv.2017.00065 · Cited by 100 · see citing works
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- Authors
- Sahillioglu, Y., & Yemez, Y.
- Affiliations
- Koç University (TR)
- ORCID
- Yemez, Y.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 2012-11
- Volume
- 34
- Issue
- 11
- Pages
- 2203-2215
- ISSN
- 0162-8828 (ISSN-L)
- 2160-9292
- OpenAlex
- W2086816767
- Cited by
- 53
- References
- 51
- Citations by year
- 2026: 1 · 2025: 1 · 2022: 2 · 2021: 2 · 2020: 1 · 2019: 8 · 2018: 7 · 2017: 8 · 2016: 8 · 2015: 5 · 2014: 5 · 2013: 4 · 2012: 1
- FWCI
- 4.75
- Type
- journal article
- Language
- en
- Open access
- green
- hdl.handle.net
- Locations
- IEEE Transactions on Pattern Analysis and Machine Intelligence (publishedVersion)
- PubMed (publishedVersion)
- OpenMETU (Middle East Technical University) (submittedVersion, cc-by-nc-nd)
- Funders
- Türkiye Bilimsel ve Teknolojik Araştırma Kurumu
- Topics
- Physical Sciences › Engineering › Computational Mechanics › 3D Shape Modeling and Analysis
- Physical Sciences › Computer Science › Computer Graphics and Computer-Aided Design › Computational Geometry and Mesh Generation
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Image Processing and 3D Reconstruction
- Keywords
- shape correspondence, isometric mapping, expectation-maximization algorithm, multidimensional scaling, log-likelihood maximization, combinatorial optimization
- MeSH terms
- Algorithms, Artificial Intelligence, Image Enhancement, Image Interpretation, Computer-Assisted, Pattern Recognition, Automated, Sensitivity and Specificity, Subtraction Technique, Reproducibility of Results, Information Storage and Retrieval, Artifacts, Imaging, Three-Dimensional
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