Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling: The Morgan Kaufmann Series in Computer Graphics
Autor Ron Goldmanen Limba Engleză Paperback – 4 dec 2014
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.
- Written by one of the world's most eminent CAGD researchers
- Designed for use as both a professional reference and a textbook, and addressed to computer scientists, engineers, mathematicians, theoreticians, and students alike
- Includes chapters on Bezier curves and surfaces, B-splines, blossoming, and multi-sided Bezier patches
- Relies on an easily understood notation, and concludes each section with both practical and theoretical exercises that enhance and elaborate upon the discussion in the text
- Foreword by Professor Helmut Pottmann, Vienna University of Technology
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Specificații
ISBN-13: 9781493303557
ISBN-10: 1493303554
Pagini: 576
Dimensiuni: 191 x 235 mm
Editura: ELSEVIER SCIENCE
Seria The Morgan Kaufmann Series in Computer Graphics
ISBN-10: 1493303554
Pagini: 576
Dimensiuni: 191 x 235 mm
Editura: ELSEVIER SCIENCE
Seria The Morgan Kaufmann Series in Computer Graphics
Cuprins
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
Recenzii
Ron Goldman is a leading expert who knows the fundamental concepts and their interconnectedness, as well as the small details. The elegance of the writing and of the methods used to present the material allows us to get a deep understanding of the central concepts of CAGD. In its simplicity and pure beauty, the theory indeed resembles the pyramids." --Helmut Pottman, Vienna University of Technology"A textbook approach to understanding, analyzing and computing common polynomial and spline curves, and surfaces schemes in computer-aided geometric modeling and design. Goldman employs a dynamic programming method based on recursive pyramids for revealing the structure and relationship of algorithms." --Design Issues