Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
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We propose a new definition of the implicit surface for a noisy point cloud that allows for high-quality reconstruction of the surface in all cases. It is based on proximity graphs that provide a more topology-based measure for proximity of points. The new definition can be evaluated very fast, but, unlike other definitions based on the moving least squares (MLS) approach, it does not suffer from artifacts.