Necessary and sufficient conditions for a unique solution of plane motion and structure

Xiaoping Llu; Narendra Ahuja

doi:10.1007/3-540-57233-3_57

Necessary and sufficient conditions for a unique solution of plane motion and structure

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

Abstract

First, we show an uncertain situation for the two-view plane motion problem in which an infinite number of solutions may result. Then, we present necessary and sufficient conditions for a unique solution of plane motion and structure from any number of views. These algorithm-independent conditions enhance our understanding about the problem of estimating plane motion and structure from image sequences and may be incorporated in any practical algorithms for estimating the motion and structure of a planar surface.

Original language	English (US)
Title of host publication	Computer Analysis of Images and Patterns - 5th International Conference, CAIP 1993, Proceedings
Editors	Dmitry Chetverikov, Walter G. Kropatsch
Publisher	Springer
Pages	436-443
Number of pages	8
ISBN (Print)	9783540572336
DOIs	https://doi.org/10.1007/3-540-57233-3_57
State	Published - 1993
Event	5th International Conference on Computer Analysis of Images and Patterns, CAIP 1993 - Budapest, Hungary Duration: Sep 13 1993 → Sep 15 1993

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	719 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	5th International Conference on Computer Analysis of Images and Patterns, CAIP 1993
Country/Territory	Hungary
City	Budapest
Period	9/13/93 → 9/15/93

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Online availability

10.1007/3-540-57233-3_57

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Llu, X., & Ahuja, N. (1993). Necessary and sufficient conditions for a unique solution of plane motion and structure. In D. Chetverikov, & W. G. Kropatsch (Eds.), Computer Analysis of Images and Patterns - 5th International Conference, CAIP 1993, Proceedings (pp. 436-443). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 719 LNCS). Springer. https://doi.org/10.1007/3-540-57233-3_57

Necessary and sufficient conditions for a unique solution of plane motion and structure. / Llu, Xiaoping; Ahuja, Narendra.
Computer Analysis of Images and Patterns - 5th International Conference, CAIP 1993, Proceedings. ed. / Dmitry Chetverikov; Walter G. Kropatsch. Springer, 1993. p. 436-443 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 719 LNCS).

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

Llu, X & Ahuja, N 1993, Necessary and sufficient conditions for a unique solution of plane motion and structure. in D Chetverikov & WG Kropatsch (eds), Computer Analysis of Images and Patterns - 5th International Conference, CAIP 1993, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 719 LNCS, Springer, pp. 436-443, 5th International Conference on Computer Analysis of Images and Patterns, CAIP 1993, Budapest, Hungary, 9/13/93. https://doi.org/10.1007/3-540-57233-3_57

Llu X, Ahuja N. Necessary and sufficient conditions for a unique solution of plane motion and structure. In Chetverikov D, Kropatsch WG, editors, Computer Analysis of Images and Patterns - 5th International Conference, CAIP 1993, Proceedings. Springer. 1993. p. 436-443. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-57233-3_57

Llu, Xiaoping ; Ahuja, Narendra. / Necessary and sufficient conditions for a unique solution of plane motion and structure. Computer Analysis of Images and Patterns - 5th International Conference, CAIP 1993, Proceedings. editor / Dmitry Chetverikov ; Walter G. Kropatsch. Springer, 1993. pp. 436-443 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Necessary and sufficient conditions for a unique solution of plane motion and structure

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