A geometric approach to curvature estimation on triangulated 3D shapes

TitleA geometric approach to curvature estimation on triangulated 3D shapes
Publication TypeConference Papers
Year of Publication2010
AuthorsMesmoudi MM, De Floriani L, Magillo P
Conference NameInt. Conf. on Computer Graphics Theory and Applications (GRAPP)
Date Published2010///
Abstract

We present a geometric approach to define discrete normal, principal, Gaussian and mean curvatures, thatwe call Ccurvature. Our approach is based on the notion of concentrated curvature of a polygonal line and
a simulation of rotation of the normal plane of the surface at a point. The advantages of our approach is its
simplicity and its natural meaning. A comparison with widely-used discrete methods is presented.