We review some recent approaches to estimate discrete Gaussian and mean curvatures for triangulated surfaces, and discuss their characteristics. We focus our attention on concentrated curvature which is generally used to estimate Gaussian curvature. We present a result that shows that concentrated curvature can also be used to estimate mean curvature and hence principal curvatures. This makes concentrated curvature one of the fundamental notions in discrete computational geometry. © 2012 Springer-Verlag.
CITATION STYLE
Mesmoudi, M. M., De Floriani, L., & Magillo, P. (2012). Discrete curvature estimation methods for triangulated surfaces. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7346 LNCS, pp. 28–42). https://doi.org/10.1007/978-3-642-32313-3_3
Mendeley helps you to discover research relevant for your work.