Multivariate Approximation and Splines: Conference in Mannheim, September 7-10, 1996

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This book contains the refereed papers which were presented at the international conference on multivariate approximation and splines held in Mannheim, Germany, on September 7-10, 1996. Fifty experts from Bulgaria, England, France, Israel, the Netherlands, Norway, Poland, Switzerland, Ukraine, the USA and Germany participated in the symposium. The manuscripts cover a variety of topics from the rapidly developing field of multivariate approximation, including interpolation, data fitting, splines, radial basis ...
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Overview

This book contains the refereed papers which were presented at the international conference on multivariate approximation and splines held in Mannheim, Germany, on September 7-10, 1996. Fifty experts from Bulgaria, England, France, Israel, the Netherlands, Norway, Poland, Switzerland, Ukraine, the USA and Germany participated in the symposium. The manuscripts cover a variety of topics from the rapidly developing field of multivariate approximation, including interpolation, data fitting, splines, radial basis functions, neural networks, computer-aided design, wavelets, subdivision, optimization, differential equations and numerical integration. The research has applications in areas such as industrial production, visualization, image and signal processing, cognitive systems and modeling in medicine and natural sciences.
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Product Details

Table of Contents

Preface
Multivariate Inequalities of Kolmogorov Type and Their Applications 1
Monotone Iterative Technique for Impulsive Differential-Difference Equations with Variable Impulsive Perturbations 13
Multivariate Cosine Wavelets 29
On Almost Interpolation by Multivariate Splines 45
Locally Linearly Independent Systems and Almost Interpolation 59
Exponential-Type Approximation in Multivariate Harmonic Hilbert Spaces 73
Interpolation by Continuous Function Spaces 83
Discrete Characterization of Besov Spaces and Its Applications to Stochastics 89
One-Sided Approximation and Interpolation Operators Generating Hyperbolic Sigma-Pi Neural Networks 99
Unconstrained Minimization of Quadratic Splines and Applications 113
Interpolation by Translates of a Basis Function 129
On the Sup-Norm Condition Number of the Multivariate Triangular Bernstein Basis 141
Integration Methods of Clenshaw-Curtis Type, Based on Four Kinds of Chebyshev Polynomials 153
Tensor Products of Convex Cones 167
The Curse of Dimension and a Universal Method for Numerical Integration 177
Interpolation by Bivariate Splines on Crosscut Partitions 189
Necessary and Sufficient Conditions for Orthonormality of Scaling Vectors 205
Trigonometric Preconditioners for Block Toeplitz Systems 219
The Average Size of Certain Gram-Determinants and Interpolation on Non-Compact Sets 235
Radial Basis Functions Viewed From Cubic Splines 245
Wavelet Modelling of High Resolution Radar Imaging and Clinical Magnetic Resonance Tomography 259
A New Interpretation of the Sampling Theorem and Its Extensions 275
Gridded Data Interpolation with Restrictions on the First Order Derivatives 289
Affine Frames and Multiresolution 307
List of Participants 321
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