Acta Stereologica Acta Stereologica -  Volume 15 (1996)  Number 1 - Mathematical foundations of stereology - Feb. 1996 

Isoperimetric inequalities and shape parameters

Marie-José Labouré

CPE, Laboratoire Image, Signal et Acoustique, CNRS EP0092, 31 Place Bellecour 69288, Lyon Cedex 02, France

Michel Jourlin

CPE, Laboratoire Image, Signal et Acoustique, CNRS EP0092, 31 Place Bellecour 69288, Lyon Cedex 02, France

Isabelle Fillère

CPE, Laboratoire Image, Signal et Acoustique, CNRS EP0092, 31 Place Bellecour 69288, Lyon Cedex 02, France

Jean-Marie Becker

CPE, Laboratoire Image, Signal et Acoustique, CNRS EP0092, 31 Place Bellecour 69288, Lyon Cedex 02, France

François Frénéa

CPE, Laboratoire Image, Signal et Acoustique, CNRS EP0092, 31 Place Bellecour 69288, Lyon Cedex 02, France

Abstract

This article proposes new planar shape parameters:

Circularity parameters issued from classical or new isoperimetric inequalities. Regularity parameters evaluating the proximity of a given shape to a regular polygon or a circumscrible polygon.

Keywords : mathematical morphology, image processing, classification, Isoperimetric inequalities, shape parameters

To cite this article

Marie-José Labouré, Michel Jourlin, Isabelle Fillère, Jean-Marie Becker & François Frénéa, «Isoperimetric inequalities and shape parameters», Acta Stereologica [En ligne], Volume 15 (1996), Number 1 - Mathematical foundations of stereology - Feb. 1996, 65-70 URL : https://popups.ulg.ac.be/0351-580x/index.php?id=437.