Robust and efficient evaluation of functionals on parametric surfaces

Leif P. Kobbelt · 1997

Quality control is an important issue in computational geometry.Since analytical proprties likethe differentiability of aboundary representation are often not sufficient to fully judge the quality ofanobject, additional criteria measured interms ofscalar valued functionals haveto reverified.Energy functionals inthe contextof fairing are just one example where the global smoothness of a surface is rated by one single value, e.g., the total amount of (squared) curvature.More ''industrial' 'examples arethecomputation of/}hys-

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