Reconstruction of smooth surfaces with arbitrary topology adaptive splines

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Abstract

We present a novel method for fitting a smooth G 1 continuous spline to point sets. It is based on an iterative conjugate gradient optimisation scheme. Unlike traditional tensor product based splines we can fit arbitrary topology surfaces with locally adaptive meshing. For this reason we call the surface "slime". Other attempts at this problem are based on tensor product splines and are therefore not locally adaptive.

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Stoddart, A. J., & Baker, M. (1998). Reconstruction of smooth surfaces with arbitrary topology adaptive splines. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1407, pp. 241–254). Springer Verlag. https://doi.org/10.1007/BFb0054745

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