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Vector Field Processing on Triangle Meshes Fernando de Goes, Mathieu Desbrun, Yiying Tong August 2015 While scalar fields on surfaces have been staples of geometry processing, the use of tangent vector fields has steadily grown in geometry processing over the last two decades: they are crucial to encoding directions and sizing on surfaces as commonly required in tasks such as texture synthesis, non-photorealistic rendering, digital ... more Paper (PDF) SIGGRAPH Courses 2016, SIGGRAPH Asia Courses 2015 |
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Optimal Voronoi Tessellations with Hessian-based Anisotropy Max Budninskiy, Beibei Liu, Fernando de Goes, Yiying Tong, Pierre Alliez, Mathieu Desbrun December 2016 This paper presents a variational method to generate cell complexes with local anisotropy conforming to the Hessian of any given convex function and for any given local mesh density. Our formulation builds upon approximation theory to offer an anisotropic extension of Centroidal Voronoi Tessellations which can be seen as a ... more Paper (PDF) Additional materials: [BLdG+16_SuppMat.pdf] SIGGRAPH Asia 2016 |