A Review: Curvature Approximation on Triangular Meshes

330 Abstract-This paper reviews the previously available methods to estimate the curvatures, both discrete and continuous for triangulated surface. Many applications such as surface segmentation, surface smoothing, surface reconstruction, and registration require the accurate estimation of curvature at the vertices of the triangulated surface. For the estimation of the curvature, several different schemes have been proposed which are discussed in the literature. We examine implementation procedures for each technique and discuss its advantages and disadvantages in terms of accuracy, cost and time. Some recent research results are also included and discussed in this paper.