Two Dimensional Spline Interpolation Algorithms

by Helmuth Späth

Overview

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.

Product Details

ISBN-13:	9780367449926
Publisher:	A K PETERS
Publication date:	12/02/2019
Pages:	312
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

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

Editorial Reviews

An introduction to computing two dimensional spline functions for fitting curves and surfaces in computer-aided design. Outlines conditions under which two-dimensional splines can be best applied, and integrates formulas and algorithms to emphasize concepts in spline interpolation on rectangular grids and for arbitrarily distributed points; bilinear, biquadratic, and bicubic spline interpolation; and triangulations. Includes Fortran 77 subroutines which can be applied to the problems in the book. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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