Pyramid algorithms :: a dynamic programming approach to curves and surfaces for geometric modeling /
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...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam ; Boston :
Morgan Kaufmann Publishers,
©2003.
|
| Schriftenreihe: | Morgan Kaufmann series in computer graphics and geometric modeling.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | Includes index. |
| Beschreibung: | 1 online resource (xxiii, 551 pages) : illustrations |
| ISBN: | 1558603549 9781558603547 0080515479 9780080515472 1281078018 9781281078018 9786611078010 6611078010 |
Internformat
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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. |
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| id | ZDB-4-EBA-ocn228497626 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:21Z |
| institution | BVB |
| isbn | 1558603549 9781558603547 0080515479 9780080515472 1281078018 9781281078018 9786611078010 6611078010 |
| language | English |
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| spelling | Goldman, Ron, 1947- https://id.oclc.org/worldcat/entity/E39PBJmdwCfTDQ64RPHq7TVV4q http://id.loc.gov/authorities/names/n2003014656 Pyramid algorithms : a dynamic programming approach to curves and surfaces for geometric modeling / Ron Goldman. Amsterdam ; Boston : Morgan Kaufmann Publishers, ©2003. 1 online resource (xxiii, 551 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier The Morgan Kaufmann series in computer graphics and geometric modeling Includes index. 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. Print version record. 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. English. Computer graphics. Geometrical models Data processing. Infographie. Modèles géométriques Informatique. computer graphics. aat COMPUTERS Image Processing. bisacsh PHOTOGRAPHY Techniques Digital. bisacsh TECHNOLOGY & ENGINEERING Imaging Systems. bisacsh COMPUTERS Digital Media Graphics Applications. bisacsh Computer graphics fast Geometrical models Data processing fast has work: Pyramid algorithms (Text) https://id.oclc.org/worldcat/entity/E39PCFC4dKhQ7JgqXkVCg9hQ4m https://id.oclc.org/worldcat/ontology/hasWork Goldman, Ron, 1947- Pyramid algorithms. Amsterdam ; Boston : Morgan Kaufmann Publishers, ©2003 1558603549 (DLC) 2002107240 (OCoLC)51566664 Morgan Kaufmann series in computer graphics and geometric modeling. http://id.loc.gov/authorities/names/n90662931 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=209347 Volltext |
| spellingShingle | Goldman, Ron, 1947- Pyramid algorithms : a dynamic programming approach to curves and surfaces for geometric modeling / Morgan Kaufmann series in computer graphics and geometric modeling. 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. Computer graphics. Geometrical models Data processing. Infographie. Modèles géométriques Informatique. computer graphics. aat COMPUTERS Image Processing. bisacsh PHOTOGRAPHY Techniques Digital. bisacsh TECHNOLOGY & ENGINEERING Imaging Systems. bisacsh COMPUTERS Digital Media Graphics Applications. bisacsh Computer graphics fast Geometrical models Data processing fast |
| title | Pyramid algorithms : a dynamic programming approach to curves and surfaces for geometric modeling / |
| title_auth | Pyramid algorithms : a dynamic programming approach to curves and surfaces for geometric modeling / |
| title_exact_search | Pyramid algorithms : a dynamic programming approach to curves and surfaces for geometric modeling / |
| title_full | Pyramid algorithms : a dynamic programming approach to curves and surfaces for geometric modeling / Ron Goldman. |
| title_fullStr | Pyramid algorithms : a dynamic programming approach to curves and surfaces for geometric modeling / Ron Goldman. |
| title_full_unstemmed | Pyramid algorithms : a dynamic programming approach to curves and surfaces for geometric modeling / Ron Goldman. |
| title_short | Pyramid algorithms : |
| title_sort | pyramid algorithms a dynamic programming approach to curves and surfaces for geometric modeling |
| title_sub | a dynamic programming approach to curves and surfaces for geometric modeling / |
| topic | Computer graphics. Geometrical models Data processing. Infographie. Modèles géométriques Informatique. computer graphics. aat COMPUTERS Image Processing. bisacsh PHOTOGRAPHY Techniques Digital. bisacsh TECHNOLOGY & ENGINEERING Imaging Systems. bisacsh COMPUTERS Digital Media Graphics Applications. bisacsh Computer graphics fast Geometrical models Data processing fast |
| topic_facet | Computer graphics. Geometrical models Data processing. Infographie. Modèles géométriques Informatique. computer graphics. COMPUTERS Image Processing. PHOTOGRAPHY Techniques Digital. TECHNOLOGY & ENGINEERING Imaging Systems. COMPUTERS Digital Media Graphics Applications. Computer graphics Geometrical models Data processing |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=209347 |
| work_keys_str_mv | AT goldmanron pyramidalgorithmsadynamicprogrammingapproachtocurvesandsurfacesforgeometricmodeling |