Regularized Pointwise Map Recovery from Functional Correspondence

Rodola E, Moeller M, Cremers D (2017)

Publication Type: Journal article

Publication year: 2017

Journal

Computer Graphics Forum Wiley-Blackwell

Book Volume: 36

Pages Range: 700-711

Journal Issue: 8

DOI: 10.1111/cgf.13160

Abstract

The concept of using functional maps for representing dense correspondences between deformable shapes has proven to be extremely effective in many applications. However, despite the impact of this framework, the problem of recovering the point-to-point correspondence from a given functional map has received surprisingly little interest. In this paper, we analyse the aforementioned problem and propose a novel method for reconstructing pointwise correspondences from a given functional map. The proposed algorithm phrases the matching problem as a regularized alignment problem of the spectral embeddings of the two shapes. Opposed to established methods, our approach does not require the input shapes to be nearly-isometric, and easily extends to recovering the point-to-point correspondence in part-to-whole shape matching problems. Our numerical experiments demonstrate that the proposed approach leads to a significant improvement in accuracy in several challenging cases.

Involved external institutions

Università della Svizzera italiana (USI)

Switzerland (CH) Technische Universität München (TUM)

Germany (DE)

How to cite

APA:

Rodola, E., Moeller, M., & Cremers, D. (2017). Regularized Pointwise Map Recovery from Functional Correspondence. Computer Graphics Forum, 36(8), 700-711. https://dx.doi.org/10.1111/cgf.13160

MLA:

Rodola, Emanuele, M. Moeller, and D. Cremers. "Regularized Pointwise Map Recovery from Functional Correspondence." Computer Graphics Forum 36.8 (2017): 700-711.

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