DMCA
Image Sequence Analysis via Partial Differential Equations (1999)
| Citations: | 50 - 3 self |
BibTeX
@MISC{Kornprobst99imagesequence,
author = {Pierre Kornprobst and Rachid Deriche and Gilles Aubert},
title = {Image Sequence Analysis via Partial Differential Equations},
year = {1999}
}
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Abstract
This article deals with the problem of restoring and motion segmenting noisy image sequences with a static background. Usually, motion segmentation and image restoration are considered separately in image sequence restoration. Moreover, motion segmentation is often noise sensitive. In this article, the motion segmentation and the image restoration parts are performed in a coupled way, allowing the motion segmentation part to positively influence the restoration part and vice-versa. This is the key of our approach that allows to deal simultaneously with the problem of restoration and motion segmentation. To this end, we propose a theoretically justified optimization problem that permits to take into account both requirements. The model is theoretically justified. Existence and unicity are proved in the space of bounded variations. A suitable numerical scheme based on half quadratic minimization is then proposed and its convergence and stability demonstrated. Experimental results obtaine...
Keyphrases
motion segmentation partial differential equation image sequence analysis bounded variation suitable numerical scheme noisy image sequence static background motion segmentation part restoration part image sequence restoration image restoration half quadratic minimization justified optimization problem image restoration part experimental result coupled way
