EVALUATING THE EULER-POINCARÉ CHARACTERISTIC OF A SET USING A SPATIAL TESSELLATION
Keywords:tessellation, Euler-Poincaré characteristic, discretization
AbstractA 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.
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
Original Research Paper