Regularization of positive definite matrix fields based on multiplicative calculus

Authors:
Luc Florack
Affiliations:
Department of Mathematics & Computer Science, Eindhoven University of Technology, The Netherlands
Venue:
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Year:
2011

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Abstract

Multiplicative calculus provides a natural framework in problems involving positive images and positivity preserving operators. In increasingly important, complex imaging frameworks, such as diffusion tensor imaging, it complements standard calculus in a nontrivial way. The purpose of this article is to illustrate the basics of multiplicative calculus and its application to the regularization of positive definite matrix fields.