EVALUATING THE EULER-POINCARÉ CHARACTERISTIC OF A SET USING A SPATIAL TESSELLATION

Jean-Paul Jernot, Patricia Jouannot-Chesney, Christian Lantué Joul

Abstract

A new formula is established to evaluate the Euler-Poincaré characteristic of a polyconvex subset X in Rd starting only from measurements of X in the cells of a tessellation. Simplifications occur when X is a union of cells of the tessellation, leading to another formula that unifies and extends several classical digitization results.

Keywords
tessellation; Euler-Poincaré characteristic; discretization

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DOI: 10.5566/ias.v20.p149-152

Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)