@article {13291,
	title = {Discrete distortion for surface meshes},
	journal = {Image Analysis and Processing{\textendash}ICIAP 2009},
	year = {2009},
	month = {2009///},
	pages = {652 - 661},
	abstract = {Discrete distortion for two- and three-dimensional combinatorial manifolds is a discrete alternative to Ricci curvature known for differentiable manifolds. Here, we show that distortion can be successfully used to estimate mean curvature at any point of a surface. We compare our approach with the continuous case and with a common discrete approximation of mean curvature, which depends on the area of the star of each vertex in the triangulated surface. This provides a new, area-independent, tool for curvature estimation and for morphological shape analysis. We illustrate our approach through experimental results showing the behavior of discrete distortion.},
	doi = {10.1007/978-3-642-04146-4_70},
	author = {Mesmoudi,M. and De Floriani, Leila and Magillo,P.}
}
