Computing the local continuity order of optical flow using fractional variational method

K. Kashu, Y. Kameda, A. Imiya, T. Sakai, Yoshihiko Mochizuki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

We introduce variational optical flow computation involving priors with fractional order differentiations. Fractional order differentiations are typical tools in signal processing and image analysis. The zero-crossing of a fractional order Laplacian yields better performance for edge detection than the zero-crossing of the usual Laplacian. The order of the differentiation of the prior controls the continuity class of the solution. Therefore, using the square norm of the fractional order differentiation of optical flow field as the prior, we develop a method to estimate the local continuity order of the optical flow field at each point. The method detects the optimal continuity order of optical flow and corresponding optical flow vector at each point. Numerical results show that the Horn-Schunck type prior involving the n + ε order differentiation for 0 < ε < 1 and an integer n is suitable for accurate optical flow computation.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages154-167
Number of pages14
Volume5681 LNCS
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, EMMCVPR 2009 - Bonn
Duration: 2009 Aug 242009 Aug 27

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5681 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, EMMCVPR 2009
CityBonn
Period09/8/2409/8/27

Fingerprint

Order Continuity
Optical flows
Optical Flow
Variational Methods
Fractional
Fractional Order
Computing
Zero-crossing
Flow Field
Flow fields
Edge Detection
Edge detection
Image Analysis
Image analysis
Signal Processing
Signal processing
Norm
Numerical Results
Integer
Estimate

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Kashu, K., Kameda, Y., Imiya, A., Sakai, T., & Mochizuki, Y. (2009). Computing the local continuity order of optical flow using fractional variational method. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5681 LNCS, pp. 154-167). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5681 LNCS). https://doi.org/10.1007/978-3-642-03641-5_12

Computing the local continuity order of optical flow using fractional variational method. / Kashu, K.; Kameda, Y.; Imiya, A.; Sakai, T.; Mochizuki, Yoshihiko.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5681 LNCS 2009. p. 154-167 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5681 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kashu, K, Kameda, Y, Imiya, A, Sakai, T & Mochizuki, Y 2009, Computing the local continuity order of optical flow using fractional variational method. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 5681 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5681 LNCS, pp. 154-167, 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, EMMCVPR 2009, Bonn, 09/8/24. https://doi.org/10.1007/978-3-642-03641-5_12
Kashu K, Kameda Y, Imiya A, Sakai T, Mochizuki Y. Computing the local continuity order of optical flow using fractional variational method. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5681 LNCS. 2009. p. 154-167. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-642-03641-5_12
Kashu, K. ; Kameda, Y. ; Imiya, A. ; Sakai, T. ; Mochizuki, Yoshihiko. / Computing the local continuity order of optical flow using fractional variational method. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5681 LNCS 2009. pp. 154-167 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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