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.
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.
Inhaltsverzeichnis
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
