Pyramid algorithms : a dynamic programming approach to curves and surfaces for geometric modeling
著者
書誌事項
Pyramid algorithms : a dynamic programming approach to curves and surfaces for geometric modeling
（The Morgan Kaufmann series in computer graphics and geometric modeling）
Morgan Kaufmann, c2003
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注記
Includes index
内容説明・目次
内容説明
Pyramid Algorithms presents a unique approach to understanding, analyzing, and computing the most common polynomial and spline curve and surface schemes used in computer-aided geometric design, employing a dynamic programming method based on recursive pyramids.The recursive pyramid approach offers the distinct advantage of revealing the entire structure of algorithms, as well as relationships between them, at a glance. This book-the only one built around this approach-is certain to change the way you think about CAGD and the way you perform it, and all it requires is a basic background in calculus and linear algebra, and simple programming skills.
目次
Chapter 1. FoundationsChapter 2. Lagrange Interpolation and Neville's AlgorithmChapter 3. Hermite Interpolation and the Extended Neville AlgorithmChapter 4. Newton Interpolation and Difference TrianglesChapter 5. Bezier Approximation and Pascal's TriangleChapter 6. BlossomingChapter 7. B-Spline Approximation and the de Boor AlgorithmChapter 8. Pyramid Algorithms for Multi-Sided Bezier Patches
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