Concentrated curvature for mean curvature estimation in triangulated surfaces

Authors:
Mohammed Mostefa Mesmoudi;Leila De Floriani;Paola Magillo
Affiliations:
Department of Computer Science, University of Genova, Genova, Italy;Department of Computer Science, University of Genova, Genova, Italy;Department of Computer Science, University of Genova, Genova, Italy
Venue:
CTIC'12 Proceedings of the 4th international conference on Computational Topology in Image Context
Year:
2012

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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.