Affine Invariant Distance Using Multiscale Analysis

作者：Alvarez Luis^*; Cuenca Carmelo; Esclarin Julio; Mazorra Luis; Morel Jean Michel

来源：Journal of Mathematical Imaging and Vision, 2016, 55(2): 199-209.

DOI：10.1007/s10851-015-0585-9

• Multiscale analysis
• Scale space
• Affine invariance
• Distance map

In this paper we introduce an affine invariant distance definition from a point to the boundary of a bounded shape using morphological multiscale analysis. We study the mathematical behavior of this distance by examining separately the cases of convex and non-convex shapes. We prove that the proposed distance is bounded in the convex hull of the shape and infinite otherwise. A numerical scheme is given as well as experiments illustrating the behavior of the affine invariant distance.

• 出版日期2016-6