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Approximating Functions on a Mesh with Restricted Voronoï Diagrams
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
We propose a method that computes a piecewise constant approximation of a function defined on a mesh. The approximation is associated with the cells of a restricted Voronoï diagram. Our method optimizes an objective function ...
Fitting Polynomial Volumes to Surface Meshes with Voronoï Squared Distance Minimization
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
We propose a method for mapping polynomial volumes. Given a closed surface and an initial template volume grid, our method deforms the template grid by fitting its boundary to the input surface while minimizing a volume ...