On reconstruction of non-rigid shapes with intrinsic regularization

Yohai S. Devir; Guy Rosman; Alexander M. Bronstein; Michael M. Bronstein; Ron Kimmel

doi:10.1109/ICCVW.2009.5457688

On reconstruction of non-rigid shapes with intrinsic regularization

Yohai S. Devir, Guy Rosman, Alexander M. Bronstein, Michael M. Bronstein, Ron Kimmel

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Shape-from-X is a generic type of inverse problems in computer vision, in which a shape is reconstructed from some measurements. A specially challenging setting of this problem is the case in which the reconstructed shapes are non-rigid. In this paper, we propose a framework for intrinsic regularization of such problems. The assumption is that we have the geometric structure of a shape which is intrinsically (up to bending) similar to the one we would like to reconstruct. For that goal, we formulate a variation with respect to vertex coordinates of a triangulated mesh approximating the continuous shape. The numerical core of the proposed method is based on differentiating the fast marching update step for geodesic distance computation.

Original language	English
Title of host publication	2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009
Pages	272-279
Number of pages	8
DOIs	https://doi.org/10.1109/ICCVW.2009.5457688
State	Published - 2009
Externally published	Yes
Event	2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009 - Kyoto, Japan Duration: 27 Sep 2009 → 4 Oct 2009

Publication series

Name	2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009

Conference

Conference	2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009
Country/Territory	Japan
City	Kyoto
Period	27/09/09 → 4/10/09

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10.1109/ICCVW.2009.5457688

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Devir, Y. S., Rosman, G., Bronstein, A. M., Bronstein, M. M., & Kimmel, R. (2009). On reconstruction of non-rigid shapes with intrinsic regularization. In 2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009 (pp. 272-279). [5457688] (2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009). https://doi.org/10.1109/ICCVW.2009.5457688

@inproceedings{620fd6fc768641c0bdd37ae5d10ea568,

title = "On reconstruction of non-rigid shapes with intrinsic regularization",

abstract = "Shape-from-X is a generic type of inverse problems in computer vision, in which a shape is reconstructed from some measurements. A specially challenging setting of this problem is the case in which the reconstructed shapes are non-rigid. In this paper, we propose a framework for intrinsic regularization of such problems. The assumption is that we have the geometric structure of a shape which is intrinsically (up to bending) similar to the one we would like to reconstruct. For that goal, we formulate a variation with respect to vertex coordinates of a triangulated mesh approximating the continuous shape. The numerical core of the proposed method is based on differentiating the fast marching update step for geodesic distance computation.",

author = "Devir, {Yohai S.} and Guy Rosman and Bronstein, {Alexander M.} and Bronstein, {Michael M.} and Ron Kimmel",

year = "2009",

doi = "10.1109/ICCVW.2009.5457688",

language = "אנגלית",

isbn = "9781424444427",

series = "2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009",

pages = "272--279",

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note = "null ; Conference date: 27-09-2009 Through 04-10-2009",

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Devir, YS, Rosman, G, Bronstein, AM, Bronstein, MM & Kimmel, R 2009, On reconstruction of non-rigid shapes with intrinsic regularization. in 2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009., 5457688, 2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009, pp. 272-279, 2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009, Kyoto, Japan, 27/09/09. https://doi.org/10.1109/ICCVW.2009.5457688

On reconstruction of non-rigid shapes with intrinsic regularization. / Devir, Yohai S.; Rosman, Guy; Bronstein, Alexander M. et al.

2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009. 2009. p. 272-279 5457688 (2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - Shape-from-X is a generic type of inverse problems in computer vision, in which a shape is reconstructed from some measurements. A specially challenging setting of this problem is the case in which the reconstructed shapes are non-rigid. In this paper, we propose a framework for intrinsic regularization of such problems. The assumption is that we have the geometric structure of a shape which is intrinsically (up to bending) similar to the one we would like to reconstruct. For that goal, we formulate a variation with respect to vertex coordinates of a triangulated mesh approximating the continuous shape. The numerical core of the proposed method is based on differentiating the fast marching update step for geodesic distance computation.

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Devir YS, Rosman G, Bronstein AM, Bronstein MM, Kimmel R. On reconstruction of non-rigid shapes with intrinsic regularization. In 2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009. 2009. p. 272-279. 5457688. (2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009). doi: 10.1109/ICCVW.2009.5457688

On reconstruction of non-rigid shapes with intrinsic regularization

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