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Learning Direction Fields for Quad Mesh Generation
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
State of the art quadrangulation methods are able to reliably and robustly convert triangle meshes into quad meshes. Most of these methods rely on a dense direction field that is used to align a parametrization from which ...
Stable and Efficient Differential Estimators on Oriented Point Clouds
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
Point clouds are now ubiquitous in computer graphics and computer vision. Differential properties of the point-sampled surface, such as principal curvatures, are important to estimate in order to locally characterize the ...
Practical Computation of the Cut Locus on Discrete Surfaces
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
We present a novel method to compute the cut locus of a distance function encoded on a polygonal mesh. Our method exploits theoretical findings about the cut locus and - with a combination of analytic, geometric and ...
A Data-Driven Approach to Functional Map Construction and Bases Pursuit
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
We propose a method to simultaneously compute scalar basis functions with an associated functional map for a given pair of triangle meshes. Unlike previous techniques that put emphasis on smoothness with respect to the ...
Discrete Optimization for Shape Matching
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
We propose a novel discrete solver for optimizing functional map-based energies, including descriptor preservation and promoting structural properties such as area-preservation, bijectivity and Laplacian commutativity among ...