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Spherical Barycentric Coordinates
(The Eurographics Association, 2006)
We develop spherical barycentric coordinates. Analogous to classical, planar barycentric coordinates that describe the positions of points in a plane with respect to the vertices of a given planar polygon, spherical ...
Nonobtuse Remeshing and Mesh Decimation
(The Eurographics Association, 2006)
Quality meshing in 2D and 3D domains is an important problem in geometric modeling and scientific computing. We are concerned with triangle meshes having only nonobtuse angles. Specifically, we propose a solution for ...
A Quadratic Bending Model for Inextensible Surfaces
(The Eurographics Association, 2006)
Relating the intrinsic Laplacian to the mean curvature normal, we arrive at a model for bending of inextensible surfaces. Due to its constant Hessian, our isometric bending model reduces cloth simulation times up to three-fold.
Robust Reconstruction of Watertight 3D Models from Non-uniformly Sampled Point Clouds Without Normal Information
(The Eurographics Association, 2006)
We present a new volumetric method for reconstructing watertight triangle meshes from arbitrary, unoriented point clouds. While previous techniques usually reconstruct surfaces as the zero level-set of a signed distance ...