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

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

doi:10.5566/ias.v20.p149-152

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

Authors

Jean-Paul Jernot
Patricia Jouannot-Chesney
Christian Lantué Joul

DOI:

https://doi.org/10.5566/ias.v20.p149-152

Keywords:

tessellation, Euler-Poincaré characteristic, discretization

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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Published

2011-05-03

How to Cite

Jernot, J.-P., Jouannot-Chesney, P., & Joul, C. L. (2011). EVALUATING THE EULER-POINCARÉ CHARACTERISTIC OF A SET USING A SPATIAL TESSELLATION. Image Analysis and Stereology, 20(3), 149–152. https://doi.org/10.5566/ias.v20.p149-152