Curvatures of Smooth and Discrete Surfaces


We discuss notions of Gauss curvature and mean curvature for polyhedral surfaces. The discretizations are guided by the principle of preserving integral relations for curvatures, like the Gauss/Bonnet theorem and the mean-curvature force balance equation.Comment: 14 pages, to appear in "Discrete Differential Geometry", Oberwolfach Seminars 38, Birkhauser, 200

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