IEEE Trans Vis Comput Graph - Voronoi-based Curvature and Feature Estimation from Point Clouds.

Tópicos

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Resumo

We present an efficient and robust method for extracting curvature information, sharp features and normal directions of a piecewise smooth surface from its point cloud sampling in a unified framework. Our method is integral in nature and uses convolved covariance matrices of Voronoi cells of the point cloud which makes it provably robust in the presence of noise. We show that these matrices contain information related to curvature in the smooth parts of the surface, and information about the directions and angles of sharp edges around the features of a piecewise-smooth surface. Our method is applicable in both two and three dimensions, and can be easily parallelized, making it possible to process arbitrarily large point clouds, which was a challenge for Voronoi-based methods. In addition, we describe a Monte-Carlo version of our method, which is applicable in any dimension. We illustrate the correctness of both principal curvature information and feature extraction in the presence of varying levels of noise and sampling density on a variety of models. As a sample application, we use our feature detection method to segment point cloud samplings of piecewise-smooth surfaces.

Resumo Limpo

present effici robust method extract curvatur inform sharp featur normal direct piecewis smooth surfac point cloud sampl unifi framework method integr natur use convolv covari matric voronoi cell point cloud make provabl robust presenc nois show matric contain inform relat curvatur smooth part surfac inform direct angl sharp edg around featur piecewisesmooth surfac method applic two three dimens can easili parallel make possibl process arbitrarili larg point cloud challeng voronoibas method addit describ montecarlo version method applic dimens illustr correct princip curvatur inform featur extract presenc vari level nois sampl densiti varieti model sampl applic use featur detect method segment point cloud sampl piecewisesmooth surfac

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