Curvatures of Smooth and Discrete Surfaces

By John M. Sullivan Jr.. 2007

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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.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/459f79ea1f5cb1d80e112f9875d60f667bd61475