Curves And Surfaces For Cagd, Fourth Edition by Gerald Farin
A Practical Guide
A comprehensive, graduate-level introduction to the theory and practical algorithms of curve and surface modeling used in computer-aided geometric design, covering polynomial and rational representations (Bezier, B-splines, NURBS), spline theory, tensor-product and triangular surface patches, subdivision and multiresolution techniques, and geometric continuity and approximation methods; the text emphasizes algorithmic procedures (evaluation, refinement, knot insertion, degree elevation, interpolation and least-squares approximation, and intersection) and applications to CAD/CAM and computer graphics, with worked examples and implementation notes to bridge theory and practice.
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- Curves and Surfaces for CAGD
- Curves and Surfaces for Computer-Aided Geometric Design
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