Variational analysis of spherical images

Atsushi Imiya; Hironobu Sugaya; Akihiko Torii; Yoshihiko Mochizuki

doi:10.1007/11556121_14

Variational analysis of spherical images

Atsushi Imiya^*, Hironobu Sugaya, Akihiko Torii, Yoshihiko Mochizuki

^*Corresponding author for this work

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

11 Citations (Scopus)

Abstract

This paper focuses on variational image analysis on a sphere. Since a sphere is a closed Riemannian manifold with the positive constant curvature and no holes, a sphere has similar geometrical properties with a plane, whose curvature is zero. Images observed through a catadioptric system with a conic-mirror and a dioptric system with fish-eye lens are transformed to images on the sphere. Therefore, in robot vision, image analysis on the sphere is an essential requirement to the application of the omni-directional imaging system with conic-mirror and fish-eye lens for navigation and control. We introduce algorithms for optical flow computation for images on a sphere.

Original language	English
Title of host publication	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages	104-111
Number of pages	8
Volume	3691 LNCS
DOIs	https://doi.org/10.1007/11556121_14
Publication status	Published - 2005
Externally published	Yes
Event	11th International Conference on Computer Analysis of Images and Patterns, CAIP 2005 - Versailles Duration: 2005 Sept 5 → 2005 Sept 8

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3691 LNCS
ISSN (Print)	03029743
ISSN (Electronic)	16113349

Other

Other	11th International Conference on Computer Analysis of Images and Patterns, CAIP 2005
City	Versailles
Period	05/9/5 → 05/9/8

ASJC Scopus subject areas

Computer Science(all)
Biochemistry, Genetics and Molecular Biology(all)
Theoretical Computer Science

Access to Document

10.1007/11556121_14

Cite this

Imiya, A., Sugaya, H., Torii, A., & Mochizuki, Y. (2005). Variational analysis of spherical images. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3691 LNCS, pp. 104-111). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3691 LNCS). https://doi.org/10.1007/11556121_14

Variational analysis of spherical images. / Imiya, Atsushi; Sugaya, Hironobu; Torii, Akihiko et al.
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 3691 LNCS 2005. p. 104-111 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3691 LNCS).

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

Imiya, A, Sugaya, H, Torii, A & Mochizuki, Y 2005, Variational analysis of spherical images. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 3691 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3691 LNCS, pp. 104-111, 11th International Conference on Computer Analysis of Images and Patterns, CAIP 2005, Versailles, 05/9/5. https://doi.org/10.1007/11556121_14

Imiya A, Sugaya H, Torii A, Mochizuki Y. Variational analysis of spherical images. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 3691 LNCS. 2005. p. 104-111. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/11556121_14

Imiya, Atsushi ; Sugaya, Hironobu ; Torii, Akihiko et al. / Variational analysis of spherical images. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 3691 LNCS 2005. pp. 104-111 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Variational analysis of spherical images

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