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Non-rigid shape correspondence and description using geodesic field estimate distribution

Authors:

Austin T. New,

Anirban Mukhopadhyay,

Hamid R. Arabnia,

Suchendra M. BhandarkarAuthors Info & Claims

SIGGRAPH '12: ACM SIGGRAPH 2012 Posters

Article No.: 96, Page 1

https://doi.org/10.1145/2342896.2343008

Published: 05 August 2012 Publication History

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Abstract

Non-rigid shape description and analysis is an unsolved problem in computer graphics. Shape analysis is a fast evolving research field due to the wide availability of 3D shape databases. Widely studied methods for this family of problems include the Gromov Hausdorff distance [1], Bag-of-Features [2] and diffusion geometry [3]. The limitations of the Euclidian distance measure in the context of isometric deformation have made geodesic distance a de-facto standard for describing a metric space for non-rigid shape analysis. In this work, we propose a novel geodesic field space-based approach to describe and analyze non-rigid shapes from a point correspondence perspective.

References

[1]

Memoli F., Sapiro G.: A theoretical and computational framework for isometry invariant recognition of point cloud data. Found. Comput. Math. 5, 3 (2005), 313--347.

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[2]

Ovsjanikov, M., Bronstein, A. M., Bronstein, M. M., and Guibas, L. J. 2009. Shape Google: a computer vision approach to invariant shape retrieval. In Proc. NORDIA.

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[3]

Sun, J., Ovsjanikov, M., and Guibas, L. J. 2009. A concise and provably informative multi-scale signature based on heat diffusion. In Proc. SGP.

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[4]

Bhattacharyya, A. (1943). "On a measure of divergence between two statistical populations defined by their probability distributions". Bulletin of the Calcutta Mathematical Society 35: 99--109.

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http://tosca.cs.technion.ac.il/book/shrec.html

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Cited By

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Hersonsky S(2018)Approximation of conformal mappings and novel applications to shape recognition of planar domainsThe Journal of Supercomputing10.1007/s11227-018-2564-674:11(6333-6368)Online publication date: 1-Nov-2018
https://dl.acm.org/doi/10.1007/s11227-018-2564-6
Mukhopadhyay ABhandarkar S(2017)Biharmonic density estimatePattern Analysis & Applications10.1007/s10044-017-0610-220:4(1261-1273)Online publication date: 1-Nov-2017
https://dl.acm.org/doi/10.1007/s10044-017-0610-2
Pan XCheng ZLin JLiu ZCai YThalmann D(2016)Geodesic histogram based 3D deformable shape correspondenceProceedings of the 15th ACM SIGGRAPH Conference on Virtual-Reality Continuum and Its Applications in Industry - Volume 110.1145/3013971.3013988(271-279)Online publication date: 3-Dec-2016
https://dl.acm.org/doi/10.1145/3013971.3013988
Show More Cited By

Non-rigid shape correspondence and description using geodesic field estimate distribution
1. Computing methodologies
  1. Computer graphics

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Published In

SIGGRAPH '12: ACM SIGGRAPH 2012 Posters

August 2012

131 pages

ISBN:9781450316828

DOI:10.1145/2342896

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

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Published: 05 August 2012

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SIGGRAPH '12: Special Interest Group on Computer Graphics and Interactive Techniques Conference

August 5 - 9, 2012

California, Los Angeles

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Cited By

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Hersonsky S(2018)Approximation of conformal mappings and novel applications to shape recognition of planar domainsThe Journal of Supercomputing10.1007/s11227-018-2564-674:11(6333-6368)Online publication date: 1-Nov-2018
https://dl.acm.org/doi/10.1007/s11227-018-2564-6
Mukhopadhyay ABhandarkar S(2017)Biharmonic density estimatePattern Analysis & Applications10.1007/s10044-017-0610-220:4(1261-1273)Online publication date: 1-Nov-2017
https://dl.acm.org/doi/10.1007/s10044-017-0610-2
Pan XCheng ZLin JLiu ZCai YThalmann D(2016)Geodesic histogram based 3D deformable shape correspondenceProceedings of the 15th ACM SIGGRAPH Conference on Virtual-Reality Continuum and Its Applications in Industry - Volume 110.1145/3013971.3013988(271-279)Online publication date: 3-Dec-2016
https://dl.acm.org/doi/10.1145/3013971.3013988
Mukhopadhyay ABhandarkar S(2014)Biharmonic density estimate — A scale space signature for deformable surfaces2014 IEEE International Conference on Image Processing (ICIP)10.1109/ICIP.2014.7025960(4737-4741)Online publication date: Oct-2014
https://doi.org/10.1109/ICIP.2014.7025960

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