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Two Dimensional Spline Interpolation Algorithms

Autor Helmuth Späth
en Limba Engleză Hardback – 31 mai 1993
These volumes present a practical introduction to computing spline functions, the fundamental tools for fitting curves and surfaces in computer-aided deisgn (CAD) and computer graphics.
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Specificații

ISBN-13: 9781568810171
ISBN-10: 1568810172
Pagini: 312
Dimensiuni: 152 x 229 x 23 mm
Greutate: 0.74 kg
Ediția:1
Editura: CRC Press
Colecția A K Peters/CRC Press

Cuprins

I: Spline Interpolation on Rectangular Grids 1. Polynomial Interpolation 2. Bilinear Spline Interpolation 3. Biquadratic Spline Interpolants 4. Bicubic Spline Interpolation 5. Birational Spline Interpolants II: Spline Interpolation for Arbitrarily Distributed Points 6. Global Methods without Triangulation 7. Triangulations 8. Linear Spline Interpolants over Triangulations 9. The Approximation of First Partial Derivatives 10. Quadratic Spline Interpolants over Triangulations 11. Cubic Spline Interpolation over Triangulations 12. C1 Spline Interpolation of Degree Five on Triangulations Postscript

Descriere

This book presents a practical introduction to computing spline functions, the fundamental tools for fitting curves and surfaces in computer-aided design (CAD) and computer graphics. It provides detailed derivations of the formulas needed for a computer implementation of the interpolation methods.