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Two Dimensional Spline Interpolation Algorithms [Kõva köide]

  • Formaat: Hardback, 312 pages, kõrgus x laius: 229x152 mm, kaal: 740 g
  • Ilmumisaeg: 31-May-1993
  • Kirjastus: A K Peters
  • ISBN-10: 1568810172
  • ISBN-13: 9781568810171
  • Formaat: Hardback, 312 pages, kõrgus x laius: 229x152 mm, kaal: 740 g
  • Ilmumisaeg: 31-May-1993
  • Kirjastus: A K Peters
  • ISBN-10: 1568810172
  • ISBN-13: 9781568810171
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 copyright Book News, Inc. Portland, Or.

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.

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.
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
Späth, Helmuth