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Geometric Flows of Curves in Shape Space for Processing Motion of Deformable Objects
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
We introduce techniques for the processing of motion and animations of non-rigid shapes. The idea is to regard animations of deformable objects as curves in shape space. Then, we use the geometric structure on shape space ...
Optimal Spline Approximation via l0-Minimization
(The Eurographics Association and John Wiley & Sons Ltd., 2015)
Splines are part of the standard toolbox for the approximation of functions and curves in Rd. Still, the problem of finding the spline that best approximates an input function or curve is ill-posed, since in general this ...
On Approximation of the Laplace-Beltrami Operator and the Willmore Energy of Surfaces
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Discrete Laplace Beltrami operators on polyhedral surfaces play an important role for various applications in geometry processing and related areas like physical simulation or computer graphics. While discretizations of ...