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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 ...
Blending of Hyperbolic Closed Curves
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
In recent years, game developers are interested in developing games in the hyperbolic space. Shape blending is one of the fundamental techniques to produce animation and videos games. This paper presents two algorithms for ...
On Landmark Distances in Polygons
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
We study the landmark distance function between two points in a simply connected planar polygon. We show that if the polygon vertices are used as landmarks, then the resulting landmark distance function to any given point ...
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 ...