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Fast Updates for Least-Squares Rotational Alignment
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
Across computer graphics, vision, robotics and simulation, many applications rely on determining the 3D rotation that aligns two objects or sets of points. The standard solution is to use singular value decomposition (SVD), ...
The Diamond Laplace for Polygonal and Polyhedral Meshes
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
We introduce a construction for discrete gradient operators that can be directly applied to arbitrary polygonal surface as well as polyhedral volume meshes. The main idea is to associate the gradient of functions defined ...
Gauss Stylization: Interactive Artistic Mesh Modeling based on Preferred Surface Normals
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
Extending the ARAP energy with a term that depends on the face normal, energy minimization becomes an effective stylization tool for shapes represented as meshes. Our approach generalizes the possibilities of Cubic ...