Název: A two-level approach to implicit surface modeling with compactly supported radial basis functions
Autoři: Pan, Rongjiang
Skala, Václav
Citace zdrojového dokumentu: Engineering with Computers. 2011, vol. 27, is. 3, p. 299-307.
Datum vydání: 2011
Nakladatel: Springer
Typ dokumentu: článek
article
URI: http://dx.doi.org/10.1007/s00366-010-0199-1
http://hdl.handle.net/11025/11779
ISSN: 1435-5663
Klíčová slova: modelování implicitních ploch;radiální bázové funkce;rekonstrukce povrchu;Boolean operations
Klíčová slova v dalším jazyce: implicit surface modelling;radial basis functions;surface reconstruction;Boolean operations
Abstrakt: We describe a two-level method for computing a function whose zero-level set is the surface reconstructed from given points scattered over the surface and associated with surface normal vectors. The function is defined as a linear combination of compactly supported radial basis functions (CSRBFs). The method preserves the simplicity and efficiency of implicit surface interpolation with CSRBFs and the reconstructed implicit surface owns the attributes, which are previously only associated with globally supported or globally regularized radial basis functions, such as exhibiting less extra zero-level sets, suitable for inside and outside tests. First, in the coarse scale approximation, we choose basis function centers on a grid that covers the enlarged bounding box of the given point set and compute their signed distances to the underlying surface using local quadratic approximations of the nearest surface points. Then a fitting to the residual errors on the surface points and additional off-surface points is performed with fine scale basis functions. The final function is the sum of the two intermediate functions and is a good approximation of the signed distance field to the surface in the bounding box. Examples of surface reconstruction and set operations between shapes are provided.
Práva: © Springer-Verlag London Limited 2010
Vyskytuje se v kolekcích:Články / Articles (KIV)

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