Concentrated Curvature for Mean Curvature Estimation in Triangulated Surfaces

Mohammed Mostefa Mesmoudi, Leila De Floriani, Paola Magillo

Abstract: We present a mathematical result that allows computing the discrete mean curvature of a polygonal surface from the so-called concentrated curvature generally used for Gaussian curvature estimation. Our result adds important value to concentrated curvature as a geometric and metric tool to study accurately the morphology of a surface.