Smooth surface reconstruction via natural neighbour interpolation of distance functions |
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Authors: | Jean-Daniel Boissonnat Frdric Cazals |
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Institution: | INRIA, 2004 route des Lucioles, BP93, 06902 Sophia Antipolis, France |
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Abstract: | We present an algorithm to reconstruct smooth surfaces of arbitrary topology from unorganised sample points and normals. The method uses natural neighbour interpolation, works in any dimension and accommodates non-uniform samples. The reconstructed surface interpolates the data points and is implicitly represented as the zero set of some pseudo-distance function. It can be meshed so as to satisfy a user-defined error bound, which makes the method especially relevant for small point sets. Experimental results are presented for surfaces in
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Keywords: | Natural neighbour interpolation Reconstruction Delaunay triangulation Smooth surface Voronoi diagram |
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