The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
Generalized multidimensional scaling: A framework for isometry-invariant partial surface matching
Open accessAbstract
An efficient algorithm for isometry-invariant matching of surfaces is presented. The key idea is computing the minimum-distortion mapping between two surfaces. For this purpose, we introduce the generalized multidimensional scaling, a computationally efficient continuous optimization algorithm for finding the least distortion embedding of one surface into another. The generalized multidimensional scaling algorithm allows for both full and partial surface matching. As an example, it is applied to the problem of expression-invariant three-dimensional face recognition.
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Cites
Nonlinear Dimensionality Reduction by Locally Linear Embedding
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Iterative point matching for registration of free-form curves and surfaces
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Modern Multidimensional Scaling: Theory and Applications
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Modern Multidimensional Scaling
Borg, I., & Groenen, P. (1997) · Springer Series in Statistics · doi:10.1007/978-1-4757-2711-1 · Cited by 1,728
Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data
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Computing geodesic paths on manifolds
Kimmel, R., & Sethian, J. A. (1998) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.95.15.8431 · Cited by 1,049
Self-citationThe farthest point strategy for progressive image sampling
Eldar, Y., Lindenbaum, M., Porat, M., & Zeevi, Y. Y. (1997) · IEEE Transactions on Image Processing · doi:10.1109/83.623193 · Cited by 693
Structures métriques pour les variétés riemanniennes
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Geometric Deep Learning: Going beyond Euclidean data
Bronstein, M. M., Bruna, J., LeCun, Y., Szlam, A., & Vandergheynst, P. (2017) · IEEE Signal Processing Magazine · doi:10.1109/msp.2017.2693418 · Cited by 3,661
Self-citationRegistration of 3D Point Clouds and Meshes: A Survey from Rigid to Nonrigid
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
Active printed materials for complex self-evolving deformations
Raviv, D., Zhao, W., McKnelly, C., Papadopoulou, A., Kadambi, A., Shi, B., Hirsch, S., Dikovsky, D., Zyracki, M., Olguin, C., et al. (2014) · Scientific Reports · doi:10.1038/srep07422 · Cited by 568
Multiple Nose Region Matching for 3D Face Recognition under Varying Facial Expression
Chang, K. I., Bowyer, K. W., & Flynn, P. J. (2006) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2006.210 · Cited by 359
Robust single-view geometry and motion reconstruction
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Metadata
- Authors
- Bronstein, A. M., Bronstein, M. M., & Kimmel, R.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 2006-01-23
- Volume
- 103
- Issue
- 5
- Pages
- 1168-1172
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2098578926
- Cited by
- 538
- References
- 21
- FWCI
- 22.39
- Type
- journal article
- Language
- en
- Open access
- green
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- Bronstein, A. M., Bronstein, M. M., & Kimmel, R. (2006). Generalized multidimensional scaling: A framework for isometry-invariant partial surface matching. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.0508601103
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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