Presentation 2010-11-19
On Unique Solution of 3D Motion Parameters Estimation by Homography Matrix Decomposition
He LIU, Hiroyuki HASE, Shogo TOKAI,
PDF Download Page PDF download Page Link
Abstract(in Japanese) (See Japanese page)
Abstract(in English) This paper discusses the solution ambiguity problem of linear 3D motion parameter estimation, especially concerning homography matrix decomposition. By considering the geometric relations of the object before and after the 3D motion, we found the solution ambiguity is not inevitably. For the same 3D motion, it depends on the size of the object; also it depends on the 3D motion parameters for the same object size. The former is proposed for the first time in this paper. Even though, as the latter, there is an inference proposed by Longuet-Higgins and Faugeras in 1980s, the theoretic proof which is under much more common conditions is done for the first time in this paper.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) planar objects / 3D motion parameters / simulation experiment / solution ambiguity
Paper # PRMU2010-120
Date of Issue

Conference Information
Committee PRMU
Conference Date 2010/11/11(1days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair
Vice Chair
Secretary
Assistant

Paper Information
Registration To Pattern Recognition and Media Understanding (PRMU)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On Unique Solution of 3D Motion Parameters Estimation by Homography Matrix Decomposition
Sub Title (in English)
Keyword(1) planar objects
Keyword(2) 3D motion parameters
Keyword(3) simulation experiment
Keyword(4) solution ambiguity
1st Author's Name He LIU
1st Author's Affiliation Faculty of Engineering, University of Fukui()
2nd Author's Name Hiroyuki HASE
2nd Author's Affiliation Faculty of Engineering, University of Fukui
3rd Author's Name Shogo TOKAI
3rd Author's Affiliation Faculty of Engineering, University of Fukui
Date 2010-11-19
Paper # PRMU2010-120
Volume (vol) vol.110
Number (no) 296
Page pp.pp.-
#Pages 6
Date of Issue