Optimal trajectory space finding for nonrigid structure from motion

Yuanqi Su; Yuehu Liu; Yang Yang

doi:10.1007/978-3-642-17688-3_34

Optimal trajectory space finding for nonrigid structure from motion

Yuanqi Su
, Yuehu Liu
, Yang Yang

Faculty of Electronic and Information Engineering

Xi'an Jiaotong University

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

1 Scopus citations

Abstract

The deformation in nonrigid structure from motion can be modeled either in shape domain or in time domain. Here, we view the deformation in time domain, model the trajectory of each 3D point as a linear combination of trajectory bases, and present a novel method to automatically find the trajectory bases based on orthographic camera assumption. In this paper, a linear relation is explicitly derived between 2D projected trajectory and 3D trajectory bases. With this formulation, an approximation is formulated for finding 3D trajectory bases which cast the trajectory bases finding into a problem of finding eigenvectors. Using the approximated trajectory bases as a start point, an EM-like algorithm is proposed which refine the trajectory bases and the corresponding coefficients. The proposed method demonstrates satisfactory results on both the synthetic and real data.

Original language	English
Title of host publication	Advanced Concepts for Intelligent Vision Systems - 12th International Conference, ACIVS 2010, Proceedings
Pages	357-366
Number of pages	10
Edition	PART 1
DOIs	https://doi.org/10.1007/978-3-642-17688-3_34
State	Published - 2010
Event	12th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2010 - Sydney, NSW, Australia Duration: 13 Dec 2010 → 16 Dec 2010

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Number	PART 1
Volume	6474 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	12th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2010
Country/Territory	Australia
City	Sydney, NSW
Period	13/12/10 → 16/12/10

Keywords

EM algorithm
Image Sequences Processing
Nonrigid Structure form Motion
Singular Value Decomposition
Structure from Motion
Video Signal Processing

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10.1007/978-3-642-17688-3_34

Cite this

Su, Y., Liu, Y., & Yang, Y. (2010). Optimal trajectory space finding for nonrigid structure from motion. In Advanced Concepts for Intelligent Vision Systems - 12th International Conference, ACIVS 2010, Proceedings (PART 1 ed., pp. 357-366). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6474 LNCS, No. PART 1). https://doi.org/10.1007/978-3-642-17688-3_34

Su, Yuanqi ; Liu, Yuehu ; Yang, Yang. / Optimal trajectory space finding for nonrigid structure from motion. Advanced Concepts for Intelligent Vision Systems - 12th International Conference, ACIVS 2010, Proceedings. PART 1. ed. 2010. pp. 357-366 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1).

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title = "Optimal trajectory space finding for nonrigid structure from motion",

abstract = "The deformation in nonrigid structure from motion can be modeled either in shape domain or in time domain. Here, we view the deformation in time domain, model the trajectory of each 3D point as a linear combination of trajectory bases, and present a novel method to automatically find the trajectory bases based on orthographic camera assumption. In this paper, a linear relation is explicitly derived between 2D projected trajectory and 3D trajectory bases. With this formulation, an approximation is formulated for finding 3D trajectory bases which cast the trajectory bases finding into a problem of finding eigenvectors. Using the approximated trajectory bases as a start point, an EM-like algorithm is proposed which refine the trajectory bases and the corresponding coefficients. The proposed method demonstrates satisfactory results on both the synthetic and real data.",

keywords = "EM algorithm, Image Sequences Processing, Nonrigid Structure form Motion, Singular Value Decomposition, Structure from Motion, Video Signal Processing",

author = "Yuanqi Su and Yuehu Liu and Yang Yang",

year = "2010",

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booktitle = "Advanced Concepts for Intelligent Vision Systems - 12th International Conference, ACIVS 2010, Proceedings",

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Su, Y, Liu, Y & Yang, Y 2010, Optimal trajectory space finding for nonrigid structure from motion. in Advanced Concepts for Intelligent Vision Systems - 12th International Conference, ACIVS 2010, Proceedings. PART 1 edn, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 1, vol. 6474 LNCS, pp. 357-366, 12th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2010, Sydney, NSW, Australia, 13/12/10. https://doi.org/10.1007/978-3-642-17688-3_34

Optimal trajectory space finding for nonrigid structure from motion. / Su, Yuanqi; Liu, Yuehu; Yang, Yang.
Advanced Concepts for Intelligent Vision Systems - 12th International Conference, ACIVS 2010, Proceedings. PART 1. ed. 2010. p. 357-366 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6474 LNCS, No. PART 1).

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

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AB - The deformation in nonrigid structure from motion can be modeled either in shape domain or in time domain. Here, we view the deformation in time domain, model the trajectory of each 3D point as a linear combination of trajectory bases, and present a novel method to automatically find the trajectory bases based on orthographic camera assumption. In this paper, a linear relation is explicitly derived between 2D projected trajectory and 3D trajectory bases. With this formulation, an approximation is formulated for finding 3D trajectory bases which cast the trajectory bases finding into a problem of finding eigenvectors. Using the approximated trajectory bases as a start point, an EM-like algorithm is proposed which refine the trajectory bases and the corresponding coefficients. The proposed method demonstrates satisfactory results on both the synthetic and real data.

KW - EM algorithm

KW - Image Sequences Processing

KW - Nonrigid Structure form Motion

KW - Singular Value Decomposition

KW - Structure from Motion

KW - Video Signal Processing

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Su Y, Liu Y, Yang Y. Optimal trajectory space finding for nonrigid structure from motion. In Advanced Concepts for Intelligent Vision Systems - 12th International Conference, ACIVS 2010, Proceedings. PART 1 ed. 2010. p. 357-366. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1). doi: 10.1007/978-3-642-17688-3_34

Optimal trajectory space finding for nonrigid structure from motion

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