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Surface Reconstruction from Scattered Point via RBF Interpolation on GPU

Salvatore Cuomo, Ardelio Gallettiy, Giulio Giuntay, Alfredo Staracey
Department of Mathematics and Applications "R. Caccioppoli" University of Naples Federico II, c/o Universitario M.S. Angelo 80126 Naples Italy
arXiv:1305.5179 [cs.DC], (22 May 2013)

@article{2013arXiv1305.5179C,

   author={Cuomo}, S. and {Gallettiy}, A. and {Giuntay}, G. and {Staracey}, A.},

   title={"{Surface Reconstruction from Scattered Point via RBF Interpolation on GPU}"},

   journal={ArXiv e-prints},

   archivePrefix={"arXiv"},

   eprint={1305.5179},

   primaryClass={"cs.DC"},

   keywords={Computer Science – Distributed, Parallel, and Cluster Computing, Computer Science – Numerical Analysis, Mathematics – Numerical Analysis, 65Y05, 68W10, 65D18},

   year={2013},

   month={may},

   adsurl={http://adsabs.harvard.edu/abs/2013arXiv1305.5179C},

   adsnote={Provided by the SAO/NASA Astrophysics Data System}

}

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In this paper we describe a parallel implicit method based on radial basis functions (RBF) for surface reconstruction. The applicability of RBF methods is hindered by its computational demand, that requires the solution of linear systems of size equal to the number of data points. Our reconstruction implementation relies on parallel scientific libraries and is supported for massively multi-core architectures, namely Graphic Processor Units (GPUs). The performance of the proposed method in terms of accuracy of the reconstruction and computing time shows that the RBF interpolant can be very effective for such problem.
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