منابع مشابه
Multiresolution point-set surfaces
Multiresolution representations of 3D surfaces make it possible to concentrate the efforts of a modification at the appropriate level of detail. This paper introduces a multiresolution representation for point-set surfaces. At each level, the point set is smoothed and downsampled, and the geometric details are encoded along the smoothed surface normal. The resulting structure is only slightly l...
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Point set surfaces (PSS) are a smooth manifold surface approximation from a set of sample points. The surface definition is based on a projection operation that constructs local polynomial approximations and respects a minimum feature size. We present techniques for ray tracing PSSs. For the computation of ray-surface intersection the properties of the projection operation are exploited: The su...
متن کاملApproximating Geodesics on Point Set Surfaces
We present a technique for computing piecewise linear approximations of geodesics on point set surfaces by minimizing an energy function defined for piecewise linear path. The function considers path length, closeness to the surface for the nodes of the piecewise linear path and for the intermediate line segments. Our method is robust with respect to noise and outliers. In order to avoid local ...
متن کاملComputing and Rendering Point Set Surfaces
We advocate the use of point sets to represent shapes. We provide a definition of a smooth manifold surface from a set of points close to the original surface. The definition is based on local maps from differential geometry, which are approximated by the method of moving least squares (MLS). The computation of points on the surface is local, which results in an out-of-core technique that can h...
متن کاملIsometry-invariant Matching of Point Set Surfaces
Shape deformations preserving the intrinsic properties of a surface are called isometries. An isometry deforms a surface without tearing or stretching it, and preserves geodesic distances. We present a technique for matching point set surfaces, which is invariant with respect to isometries. A set of reference points, evenly distributed on the point set surface, is sampled by farthest point samp...
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ژورنال
عنوان ژورنال: ACM Transactions on Graphics
سال: 2003
ISSN: 0730-0301,1557-7368
DOI: 10.1145/944020.944023