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Diffeomorphisms Groups and Pattern Matching in Image Analysis

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Abstract

In a previous paper, it was proposed to see the deformations of a common pattern as the action of an infinite dimensional group. We show in this paper that this approac h can be applied numerically for pattern matching in image analysis of digital images. Using Lie group ideas, we construct a distance between deformations defined through a metric given the cost of infinitesimal deformations. Then we propose a numerical scheme to solve a variational problem involving this distance and leading to a sub-optimal gradient pattern matching. Its links with fluid models are established.

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Trouvé, A. Diffeomorphisms Groups and Pattern Matching in Image Analysis. International Journal of Computer Vision 28, 213–221 (1998). https://doi.org/10.1023/A:1008001603737

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  • DOI: https://doi.org/10.1023/A:1008001603737

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