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In this paper, based on quadric error metrics, we present an hybrid approach to optimize triangulation created from implicit surface with sharp features. The approach first uses a resampling process to update vertices positions of initial triangulation. A dual mesh of the triangulation is at the same time constructed to restrict the updated positions and to project the new positions onto the implicit...
Planar parameterization of triangular meshes is an essential problem of Digital Geometry Processing, especially for texture mapping, remeshing and mesh editing. This paper investigates the latest theoretical and practical results on planar parameterization. Comparisons of several important algorithms on their theoretical basis, complexity, applied environments and numerical implementations are presented...
In this paper, we present a general and robust algorithm to remesh triangular meshes with genus-0 topology based on their geometric properties. Our algorithm first parameterizes an given original mesh onto planar area, and creates several geometry images for it according to its intrinsic geometric properties, e.g. per-vertex density, per-face normal or texture, etc. Then the algorithm replaces the...
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