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Surface Reconstruction from Scattered Point via RBF Interpolation on GPU

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arxiv 1305.5179 v1 pith:V4GDHM4U submitted 2013-05-22 cs.DC cs.NAmath.NA

classification cs.DCcs.NAmath.NA
keywords reconstructionmethodparallelsurfaceaccuracyapplicabilityarchitecturesbasis
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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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    A Deep Ritz variational method with a modified Cahn-Hilliard regularizer reconstructs volumes from sparse noisy slices without segmentation.

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