We present a new efficient implicit surface reconstruction technique from unorganized point sets that allows to integrate sharp edges by simply specifying the implicit equation of a half-space that cuts the sharp edge, i.e. where the derivative of the defining function of the implicit surface is discontinuous. As the underlying surface descriptor, we use the Enriched Reproducing Kernel Particle Approximation (ERKPA) method [8] that is an extension of the Reproducing Kernel Particle Approximation (RKPA) method, which is itself a generalization of the Moving Least Squares (MLS) method. 1
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