Description |
1 online resource (xxiii, 551 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
Series |
Morgan Kaufmann series in computer graphics and geometric modeling |
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Morgan Kaufmann series in computer graphics and geometric modeling.
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Contents |
Introduction : foundations -- Lagrange interpolation and Neville's algorithm -- Hermite interpolation and the extended Neville algorithm -- Newton interpolation and difference triangles -- Bezier approximation and Pascal's Triangle -- Blossoming -- B-spline approximation and the de Boor algorithm -- Pyramid algorithms for multisided Bezier patches. |
Summary |
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. * 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. |
Access |
Use copy Restrictions unspecified star MiAaHDL |
Reproduction |
Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL |
System Details |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
Processing Action |
digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL |
Note |
Print version record. |
Subject |
Recursive functions -- Data processing.
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Geometrical drawing -- Data processing.
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Dessin géométrique -- Informatique.
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COMPUTERS -- Image Processing.
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PHOTOGRAPHY -- Techniques -- Digital.
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TECHNOLOGY & ENGINEERING -- Imaging Systems.
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COMPUTERS -- Digital Media -- Graphics Applications.
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Geometrical drawing -- Data processing
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Recursive functions -- Data processing
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Other Form: |
Print version: Goldman, Ron, 1947- Pyramid algorithms. San Francisco, Calif. : Morgan Kaufmann, 2003 1558603549 9781558603547 (DLC) 2002007240 (OCoLC)50487388 |
ISBN |
9781558603547 |
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1558603549 |
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0080515479 |
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9780080515472 |
Standard No. |
CHNEW 001007051 |
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DEBBG BV039832442 |
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DEBBG BV042307722 |
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DEBSZ 405314620 |
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GBVCP 87888274X |
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NZ1 12435716 |
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UKMGB 017582557 |
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