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This volume consists of 24 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.
| ISBN | 981022852X | | Volumes | 001 | | ISBN13 | 9789810228521
(What's this?) | | Weight (grammes) | 726 | | Publisher | World Scientific Publishing Co Pte Ltd | | Published in | Singapore | | Imprint | World Scientific Publishing Co Pte Ltd | | Conference location | Montecatini Terme, Italy, | | Format | Hardback | | Conference name | Advanced topics in multivariate approximation | | Publication date | 12 Jan 1996 | | Conference year | 1995 | | Library of Congress | QA297.5.A2 | | Series title | Series in Approximations & Decompositions | | DEWEY | 511.4 | | Height (mm) | 230 | | DEWEY edition | DC21 | | Width (mm) | 165 | | Pages | 380 | | Academic level | Undergraduate, Postgraduate, Professional / Scholarly |
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| | | Preface | | | | | | List of Participants | | | | | | Recovering a Function with Discontinuities from Correlated Data by M. Bozzini and L. Lenarduzzi | | 1 | | | | Bases with Convexity Preserving Properties by J. M. Carnicer and M. Garcia-Esnaola and J. M. Pena | | 17 | | | | Stability and Inter-Dependence of Matrix Subdivision Schemes by A. Cohen and N. Dyn and D. Levin | | 33 | | | | Guided Multi-Dimensional Reconstruction from Cross-Sections by D. Cohen-Or and D. Levin | | 47 | | | | Multiscale Decompositions on the Interval Based on DCT-I Transforms by U. Depczynski and K. Jetter | | 57 | | | | On the Dimension of the C[superscript 1] Spline Space for the Morgan-Scott Triangulation from the Blossoming Approach by Y. Y. Feng and J. Kozak and M. Zhang | | 71 | | | | Thinning and Approximation of Large Sets of Scattered Data by M. S. Floater and A. Iske | | 87 | | | | Numerical Curves and their Applications to Algebraic Curves by H. Gevorgian and H. Hakopian and A. Sahakian | | 97 | | | | Sectional-Curvature Preserving Skinning Surfaces with a 3D Spine Curve by A. I. Ginnis and P. D. Kaklis and N. C. Gabrielides | | 113 | | | | Pairs of Refinable Bivariate Splines by T. Goodman | | 125 | | | | The Subdivision and Transition Operators Associated with a Refinement Equation by R. Q. Jia | | 139 | | | | Approximation of Smooth Functions by sk-Splines by A. K. Kushpel and J. Levesley and W. A. Light | | 155 | | | | Shape Preserving Spline Approximation via Local Algorithms by B. I. Kvasov | | 181 | | | | Introducing Dilation and Translation for Incomplete Sigma-Pi Neural Networks of Hopfield-Type by B. Lenze | | 197 | | | | Parametric Shape-Preserving Hermite Interpolation by Piecewise Quadratics by C. Manni | | 211 | | | | Marsden Identity, Blossoming and de Boor-Fix Formula by M. L. Mazure and P. J. Laurent | | 227 | | | | Precise Controls in Numerical Grid Generation by R. Morandi and A. Sestini | | 243 | | | | A C[superscript 1] Positivity Preserving Scattered Data Interpolation Scheme by B. H. Ong and H. C. Wong | | 259 | | | More... | | |
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