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Fast and Robust QEF Minimization using Probabilistic Quadrics
(The Eurographics Association and John Wiley & Sons Ltd., 2020)
Error quadrics are a fundamental and powerful building block in many geometry processing algorithms. However, finding the minimizer of a given quadric is in many cases not robust and requires a singular value decomposition ...
Geodesic Distance Computation via Virtual Source Propagation
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
We present a highly practical, efficient, and versatile approach for computing approximate geodesic distances. The method is designed to operate on triangle meshes and a set of point sources on the surface. We also show ...
Cost Minimizing Local Anisotropic Quad Mesh Refinement
(The Eurographics Association and John Wiley & Sons Ltd., 2020)
Quad meshes as a surface representation have many conceptual advantages over triangle meshes. Their edges can naturally be aligned to principal curvatures of the underlying surface and they have the flexibility to create ...
Simpler Quad Layouts using Relaxed Singularities
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
A common approach to automatic quad layout generation on surfaces is to, in a first stage, decide on the positioning of irregular layout vertices, followed by finding sensible layout edges connecting these vertices and ...
Quad Layouts via Constrained T-Mesh Quantization
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
We present a robust and fast method for the creation of conforming quad layouts on surfaces. Our algorithm is based on the quantization of a T-mesh, i.e. an assignment of integer lengths to the sides of a non-conforming ...
Layout Embedding via Combinatorial Optimization
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
We consider the problem of injectively embedding a given graph connectivity (a layout) into a target surface. Starting from prescribed positions of layout vertices, the task is to embed all layout edges as intersection-free ...
Surface Maps via Adaptive Triangulations
(The Eurographics Association and John Wiley & Sons Ltd., 2023)
We present a new method to compute continuous and bijective maps (surface homeomorphisms) between two or more genus-0 triangle meshes. In contrast to previous approaches, we decouple the resolution at which a map is ...