Interpolated corrected curvature measures for polygonal surfaces

Computer Graphics Forum (Proceedings of Symposium on Geometry Processing) 2020 Jacques-Olivier LachaudPascal RomonBoris ThibertDavid Coeurjolly

A consistent and yet practically accurate definition of curvature onto polyhedral meshes remains an open problem. We pro- pose a new framework to define curvature measures, based on the Corrected Normal Current, which generalizes the normal cycle: it uncouples the positional information of the polyhedral mesh from its geometric normal vector field, and the user can freely choose the corrected normal vector field at vertices for curvature computations... (read more)

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