Geometric Invariant Shape Representations Using Morphological Multiscale Analysis |
| |
Authors: | L Alvarez A-P Blanc L Mazorra F Santana |
| |
Affiliation: | (1) Departamento de Informática y Sistemas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira, 35017 Las Palmas, Spain |
| |
Abstract: | In this paper, we present a new geometric invariant shape representation using morphological multiscale analysis. The geometric invariant is based on the area and perimeter evolution of the shape under the action of a morphological multiscale analysis. First, we present some theoretical results on the perimeter and area evolution across the scales of a shape. In the case of similarity transformations, the proposed geometric invariant is based on a scale-normalized evolution of the isoperimetric ratio of the shape. In the case of general affine geometric transformations the proposed geometric invariant is based on a scale-normalized evolution of the area. We present some numerical experiments to evaluate the performance of the proposed models. We present an application of this technique to the problem of shape classification on a real shape database and we study the well-posedness of the proposed models in the framework of viscosity solution theory. |
| |
Keywords: | shape representation mathematical morphology geometric partial differential equations affine invariance |
本文献已被 SpringerLink 等数据库收录! |