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We introduce a noise-resistant algorithm for reconstructing a watertight surface from point cloud data. It forms a Delaunay tetrahedralization, then uses a variant of spectral graph partitioning to decide whether each tetrahedron is inside or outside the original object. The reconstructed surface triangulation is the set of triangular faces where inside and outside tetrahedra meet. Because the spectral partitioner makes local decisions based on a global view of the model, it can ignore outliers, patch holes and undersampled regions, and surmount ambiguity due to measurement errors. Our algorithm can optionally produce a manifold surface. We present empirical evidence that our implementation is substantially more robust than several closely related surface reconstruction programs.
Date : 2025-07-08 Size : 7.25mb User : madison

This tool is a simplification of the ballpivoting algorithm. It imagines a bella eating a delaunay traignulation in order to extract a manifold surface. It requires a single parameter: radius of the fretting ball. Ball Fretting Given a uniform sampled filled point cloud returns a tight triangulation. Input: ■tetr: a set of tetraedrons, nx4 array. If the cloud is not tesselated yet you need to call a delaunay triangulator prior calling this function. ■p : nx3 array, 3D set of points. ■r : the only parameter of the algorithm, the radius of the fretting ball Output: ■t : triangles ids, nx3 array ■tnorm: normals of triangles with outwards orientation
Date : 2025-07-08 Size : 832kb User : tao lu
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