Uniqueness and estimation of three-dimensional motion parameters of a rigid planar patch from three perspective views

R. V. Tsai; T. S. Huang

doi:10.1109/ICASSP.1982.1171556

Uniqueness and estimation of three-dimensional motion parameters of a rigid planar patch from three perspective views

R. V. Tsai, T. S. Huang

Research output: Contribution to journal › Conference article › peer-review

Abstract

This paper considers the three-view problem in motion estimation from image sequences. It is proved using the properties of Singular Value Decomposition and analytical geometry that, given four image point correspondences in three perspective views taken by a single camera of a planar patch undergoing general three-dimensional rigid-body motion, the number of solution for the motion parameters is one aside from a scale factor for the translations, as opposed to two when only two perspective views are given.

Original language	English (US)
Article number	1171556
Pages (from-to)	834-838
Number of pages	5
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	1982-May
DOIs	https://doi.org/10.1109/ICASSP.1982.1171556
State	Published - 1982
Externally published	Yes
Event	1982 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1982 - Paris, France Duration: May 3 1982 → May 5 1982

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

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10.1109/ICASSP.1982.1171556

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abstract = "This paper considers the three-view problem in motion estimation from image sequences. It is proved using the properties of Singular Value Decomposition and analytical geometry that, given four image point correspondences in three perspective views taken by a single camera of a planar patch undergoing general three-dimensional rigid-body motion, the number of solution for the motion parameters is one aside from a scale factor for the translations, as opposed to two when only two perspective views are given.",

author = "Tsai, {R. V.} and Huang, {T. S.}",

note = "Publisher Copyright: {\textcopyright} 1982 IEEE.; 1982 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1982 ; Conference date: 03-05-1982 Through 05-05-1982",

year = "1982",

doi = "10.1109/ICASSP.1982.1171556",

language = "English (US)",

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AU - Tsai, R. V.

AU - Huang, T. S.

PY - 1982

Y1 - 1982

N2 - This paper considers the three-view problem in motion estimation from image sequences. It is proved using the properties of Singular Value Decomposition and analytical geometry that, given four image point correspondences in three perspective views taken by a single camera of a planar patch undergoing general three-dimensional rigid-body motion, the number of solution for the motion parameters is one aside from a scale factor for the translations, as opposed to two when only two perspective views are given.

AB - This paper considers the three-view problem in motion estimation from image sequences. It is proved using the properties of Singular Value Decomposition and analytical geometry that, given four image point correspondences in three perspective views taken by a single camera of a planar patch undergoing general three-dimensional rigid-body motion, the number of solution for the motion parameters is one aside from a scale factor for the translations, as opposed to two when only two perspective views are given.

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JO - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

JF - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

M1 - 1171556

T2 - 1982 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1982

Y2 - 3 May 1982 through 5 May 1982

ER -

Uniqueness and estimation of three-dimensional motion parameters of a rigid planar patch from three perspective views

Abstract

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