journal article·2011-05-03Open access

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

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

Image Analysis & Stereology· Volume 20· Issue 3

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.
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Research context

OpenAlex topics: Digital Image Processing Techniques · Medical Image Segmentation Techniques

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