Noise-Adaptive Shape Reconstruction from Raw Point Sets

作者：Giraudot Simon; Cohen Steiner David; Alliez Pierre

来源：Computer Graphics Forum, 2013, 32(5): 229-238.

DOI：10.1111/cgf.12189

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• 5 [Computer Graphics]: Computational Geometry and Object ModelingBoundary representations

We propose a noise-adaptive shape reconstruction method specialized to smooth, closed shapes. Our algorithm takes as input a defect-laden point set with variable noise and outliers, and comprises three main steps. First, we compute a novel noise-adaptive distance function to the inferred shape, which relies on the assumption that the inferred shape is a smooth submanifold of known dimension. Second, we estimate the sign and confidence of the function at a set of seed points, through minimizing a quadratic energy expressed on the edges of a uniform random graph. Third, we compute a signed implicit function through a random walker approach with soft constraints chosen as the most confident seed points computed in previous step.

• 出版日期2013-8