Sp?th H. Two dimensional spline interpolation algorithms

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Sp?th H. Two dimensional spline interpolation algorithms
Contents:
Preface.
Spline Interpolation on Rectangular Grids.
Polynomial Interpolation.
Rectangular Grids and Product Interpolation.
The Lagrange Form of the Bivariate Interpolating Polynomial.
Polynomial Interpolation on Special Triangular Grids.
Bilinear Spline Interpolation.
Searching a Rectangular Grid.
Bilinear Interpolation on Rectangles.
Biquadratic Spline Interpolants.
Knots the Same as Nodes.
Knots Different from Nodes.
Shape Preservation.
A Local Quadratic Method of Interpolation.
Bicubic Spline Interpolation.
Bicubic Spline Interpolation on Rectangular Grids.
Parametric Bicubic Spline Interpolation.
Bicubic Hermite Spline Interpolation.
Semi-Bicubic Hermite Spline Interpolation.
Shape Preservation.
Biquadratic Histosplines.
Birational Spline Interpolants.
Birational Spline Interpolants on Rectangular Grids.
Birational Histosplines.
Spline Interpolation for Arbitrarily Distributed Points.
Global Methods without Triangulation.
Existence Problems and Goal Setting.
Shepard's Method.
Hardy's Multiquadrics.
Triangulations.
Linear Spline Interpolants over Triangulations.
The Approximation of First Partial Derivatives.
Quadratic Spline Interpolants over Triangulations.
Cubic Spline Interpolation over Triangulations.
C1 Spline Interpolation of Degree Five on Triangulations.
Postscript.
A. Appendix.
B. List of Subroutines.
Bibliography.
Index.
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Sp?th H. Two dimensional spline interpolation algorithms

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Wellesley, Massachusetts, А К Peters, Ltd., 1995. - 304 p. - ISBN 1-56881-017-2. Library of Congress Cataloging-in-Publication Data. Our intention is to provide an elementary and directly applicable introduction to the computation of those (as simple as possible) spline functions, which are determined by the requirement of smooth and shape-preserving interpolation and (in two cases) the smoothing of measured or collected data. This is the contin...
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