Advanced topics in multivariate approximation : proceedings of the international workshop : Montecatini Terme, Italy, September 27-October 3, 1995

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Advanced topics in multivariate approximation : proceedings of the international workshop : Montecatini Terme, Italy, September 27-October 3, 1995

edited by F. Fontanella, K. Jetter, P.J. Laurent

（Series in approximations and decompositions, vol. 8）

World Scientific, c1996

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注記

"During the week of September 27-October 3, 1995, an International Workshop on Multivariate Approximation and Interpolation was held at Montecatini Terme, Italy" -- Pref

内容説明・目次

内容説明

This volume consists of 24 refereed carefully edited papers on various topics in multivariate approximation. It represents the proceedings of a workshop organized by the University of Firenze, and held in September 1995 in Montecatini, Italy.The main themes of the volume are multiresolution analysis and wavelets, multidimensional interpolation and smoothing, and computer-aided geometric design. A number of particular topics are included, like subdivision algorithms, constrained approximation and shape-preserving algorithms, thin plate splines, radial basis functions, treatment of scattered data, rational surfaces and offsets, blossoming, grid generation, surface reconstruction, algebraic curves and surfaces, and neural networks.

目次

  • Bases with convexity-preserving properties, J.M. Carnicer et al
  • stability and inter-dependence of matrix subdivision schemes, A. Cohen et al
  • numerical curves and their applications to algebraic curves, H. Gevorgian et al
  • sectional-curvature-preserving skinning surfaces with a 3D spine curve, A.I. Ginnis et al
  • pairs of refinable bivariate splines, T.N.T. Goodman
  • the subdivision and transition operators associated with a refinement equation, R.Q. Jia
  • introducing dilation and translation for incomplete sigma-Pi neural networks of Hopfield-type, B. Lenze
  • designing rational surfaces with rational offsets, M. Peternell and H. Pottmann
  • kernal of spherical harmonics and spherical frames, D. Potts et al
  • a review of algorithms for thin plate spline interpolation in two dimensions, M.J.D. Powell
  • B-splines on uniform meshes of the plane, P. Sablonniere
  • and other papers. (Part contents).

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