Variational analysis of spherical images

Atsushi Imiya, Hironobu Sugaya, Akihiko Torii, Yoshihiko Mochizuki

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages104-111
Number of pages8
Volume3691 LNCS
DOIs
Publication statusPublished - 2005
Externally publishedYes
Event11th International Conference on Computer Analysis of Images and Patterns, CAIP 2005 - Versailles
Duration: 2005 Sep 52005 Sep 8

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3691 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other11th International Conference on Computer Analysis of Images and Patterns, CAIP 2005
CityVersailles
Period05/9/505/9/8

Fingerprint

Variational Analysis
Crystalline Lens
Fishes
Fish
Image Analysis
Image analysis
Lens
Lenses
Mirror
Mirrors
Curvature
Robot Vision
Optical flows
Optical Flow
Imaging System
Imaging systems
Computer vision
Riemannian Manifold
Navigation
Closed

ASJC Scopus subject areas

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

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; Mochizuki, Yoshihiko.

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 proceedingConference 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)). https://doi.org/10.1007/11556121_14
Imiya, Atsushi ; Sugaya, Hironobu ; Torii, Akihiko ; Mochizuki, Yoshihiko. / 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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