EVALUATING THE EULER-POINCARÉ CHARACTERISTIC OF A SET USING A SPATIAL TESSELLATION
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
DOI: 10.5566/ias.v20.p149-152
Copyright (c) 2014 Image Analysis & Stereology