2002 · 10 citations · 19 references
ComputingComputational Engineering3D ModelingComputational GeometryVolume Visualization3D ReconstructionFinite Volume MethodsGeometry ProcessingSurface ModelingSurface ReconstructionThree-dimensional Reconstruction3D Surface ModelingEstimation ErrorOctree DecompositionRadial Basis Function ReconstructionSurface ApproximationSurface Reconstruction From VolumesThree-dimensional Surface Reconstruction
In this paper the use of compactly-supported radial basis functions for surface reconstruction is described. To solve the problem of reconstruction or volume data generation specially designed software is employed. Time performance of the algorithm and numerical error estimation of the reconstruction are also investigated. Thanks to the efficient octree algorithm used in this study, the resulting matrix is a band diagonal matrix that reduces computational cost and permits handling large data sets.
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William H. Press, Saul A. Teukolsky, William T. Vetterling et al. · 1994 · 15.4K citations
A fast algorithm for particle simulations
Leslie Greengard, Vladimir Rokhlin · Journal of Computational Physics · 1987 · 4.9K citations