On DIV-CURL regularization for motion estimation in 3-D volumetric imaging

Sandeep N. Gupta, Jerry L. Prince

Research output: Contribution to conferencePaper

Abstract

We consider the classical optical flow algorithm due to Horn and Schunck for estimating the motion of brightness patterns between image pairs. We use a modified smoothness condition based on the divergence and curl of the velocity field. In previous work, we have developed well-posed stochastic state-space models for these optical flow methods in two dimensions. This paper extends our results to 3-D. We first show that by using the first order DIV-CURL spline, it is not possible to obtain a first order linear differential well-posed model in 3-D. Next, we employ the second order DIV-CURL spline smoothness condition and develop well-posed state-space models.

Original languageEnglish (US)
Pages929-932
Number of pages4
StatePublished - Dec 1 1996
EventProceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3) - Lausanne, Switz
Duration: Sep 16 1996Sep 19 1996

Other

OtherProceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3)
CityLausanne, Switz
Period9/16/969/19/96

ASJC Scopus subject areas

  • Hardware and Architecture
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering

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    Gupta, S. N., & Prince, J. L. (1996). On DIV-CURL regularization for motion estimation in 3-D volumetric imaging. 929-932. Paper presented at Proceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3), Lausanne, Switz, .