Evolution of the critical points in the curvature and affine morphological scale spaces

Authors:
Marcos Craizer
Affiliations:
Dep. Matemática, Pontifícia Universidade Católica do Rio de Janeiro, Rio de Janeiro, RJ, Brazil
Venue:
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Year:
2003

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Abstract

In this work we analyse the evolution of the critical points of an image by the curvature and affine morphological scale spaces. We define the notions of circular and elliptic extremum and show that an extremum becomes circular by the curvature scale space and elliptic by the affine morphological scale space. The evolution of a saddle point by the curvature scale space is also described. And we show how these properties can lead to numerical methods for the simulation of the curvature scale space.