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The NURBS Book /
The NURBS book covers all aspects of non-uniform rational B-splines necessary to design geometry in a computer aided environment. Basic B-spline features, curve and surface algorithms, and state-of-the-art geometry tools are all discussed. Detailed code for design algorithms and computational tricks...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1997.
|
| Edición: | Second edition. |
| Colección: | Monographs in visual communication.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
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| 003 | OCoLC | ||
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| 008 | 121227s1997 gw a ob 001 0 eng | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Piegl, Les. | |
| 245 | 1 | 4 | |a The NURBS Book / |c by Les Piegl, Wayne Tiller. |
| 250 | |a Second edition. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg, |c 1997. | ||
| 300 | |a 1 online resource (xiv, 646 pages 334 illustrations) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Monographs in Visual Communication, |x 1431-6897 | |
| 520 | |a The NURBS book covers all aspects of non-uniform rational B-splines necessary to design geometry in a computer aided environment. Basic B-spline features, curve and surface algorithms, and state-of-the-art geometry tools are all discussed. Detailed code for design algorithms and computational tricks are covered too, in a lucid, easy-to-understand style, with a minimum of mathematics and using numerous worked examples. The book is a must for students, researchers, and implementors whose work involves the use of splines. "Some years ago a few researchers joked about NURBS, saying that the acronym really stands for Nobody Understands Rational B-Splines write the authors in their foreword; they formulate the aim of changing NURBS to EURBS, that is, Everybody ... There is no doubt that they have achieved this goal. ... I highly recommend the book to anyone who is interested in a detailed description of NURBS. It is extremely helpful for students, teachers and designers of geometric modelling systems. ..."--H. Pottmann, Computer Aided Design, 1996. | ||
| 504 | |a Includes bibliographical references (pages 629-638) and index. | ||
| 505 | 0 | |a One Curve and Surface Basics -- 1.1 Implicit and Parametric Forms -- 1.2 Power Basis Form of a Curve -- 1.3 Bézier Curves -- 1.4 Rational Bézier Curves -- 1.5 Tensor Product Surfaces -- Exercises -- Two B-Spline Basis Functions -- 2.1 Introduction -- 2.2 Definition and Properties of B-spline Basis Functions -- 2.3 Derivatives of B-spline Basis Functions -- 2.4 Further Properties of the Basis Functions -- 2.5 Computational Algorithms -- Exercises -- Three B-spline Curves and Surfaces -- 3.1 Introduction -- 3.2 The Definition and Properties of B-spline Curves -- 3.3 The Derivatives of a B-spline Curve -- 3.4 Definition and Properties of B-spline Surfaces -- 3.5 Derivatives of a B-spline Surface -- Exercises -- Four Rational B-spline Curves and Surfaces -- 4.1 Introduction -- 4.2 Definition and Properties of NURBS Curves -- 4.3 Derivatives of a NURBS Curve -- 4.4 Definition and Properties of NURBS Surfaces -- 4.5 Derivatives of a NURBS Surface -- Exercises -- Five Fundamental Geometric Algorithms -- 5.1 Introduction -- 5.2 Knot Insertion -- 5.3 Knot Refinement -- 5.4 Knot Removal -- 5.5 Degree Elevation -- 5.6 Degree Reduction -- Exercises -- Six Advanced Geometric Algorithms -- 6.1 Point Inversion and Projection for Curves and Surfaces -- 6.2 Surface Tangent Vector Inversion -- 6.3 Transformations and Projections of Curves and Surfaces -- 6.4 Reparameterization of NURBS Curves and Surfaces -- 6.5 Curve and Surface Reversal -- 6.6 Conversion Between B-spline and Piecewise Power Basis Forms -- Exercises -- Seven Conics and Circles -- 7.1 Introduction -- 7.2 Various Forms for Representing Conics -- 7.3 The Quadratic Rational Bézier Arc -- 7.4 Infinite Control Points -- 7.5 Construction of Circles -- 7.6 Construction of Conies -- 7.7 Conic Type Classification and Form Conversion -- 7.8 Higher Order Circles -- Exercises -- Eight Construction of Common Surfaces -- 8.1 Introduction -- 8.2 Bilinear Surfaces -- 8.3 The General Cylinder -- 8.4 The Ruled Surface -- 8.5 The Surface of Revolution -- 8.6 Nonuniform Scaling of Surfaces -- 8.7 A Three-sided Spherical Surface -- Nine Curve and Surface Fitting -- 9.1 Introduction -- 9.2 Global Interpolation -- 9.3 Local Interpolation -- 9.4 Global Approximation -- 9.5 Local Approximation -- Exercises -- Ten Advanced Surface Construction Techniques -- 10.1 Introduction -- 10.2 Swung Surfaces -- 10.3 Skinned Surfaces -- 10.4 Swept Surfaces -- 10.5 Interpolation of a Bidirectional Curve Network -- 10.6 Coons Surfaces -- Eleven Shape Modification Tools -- 11.1 Introduction -- 11.2 Control Point Repositioning -- 11.3 Weight Modification -- 11.4 Shape Operators -- 11.5 Constraint-based Curve and Surface Shaping -- Twelve Standards and Data Exchange -- 12.1 Introduction -- 12.2 Knot Vectors -- 12.3 Nurbs Within the Standards -- 12.4 Data Exchange to and from a NURBS System -- Thirteen B-spline Programming Concepts -- 13.1 Introduction -- 13.2 Data Types and Portability -- 13.3 Data Structures -- 13.4 Memory Allocation -- 13.5 Error Control -- 13.6 Utility Routines -- 13.7 Arithmetic Routines -- 13.8 Example Programs -- 13.9 Additional Structures -- 13.10 System Structure -- References. | |
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Computer science. | |
| 650 | 0 | |a Computer graphics. | |
| 650 | 0 | |a Computer-aided design. | |
| 650 | 0 | |a Spline theory |x Data processing. | |
| 650 | 0 | |a Electronic data processing. | |
| 650 | 2 | |a Electronic Data Processing | |
| 650 | 2 | |a Computer Graphics | |
| 650 | 2 | |a Computer-Aided Design | |
| 650 | 6 | |a Théorie des splines |x Informatique. | |
| 650 | 6 | |a Conception assistée par ordinateur. | |
| 650 | 6 | |a Informatique. | |
| 650 | 6 | |a Infographie. | |
| 650 | 7 | |a computer graphics. |2 aat | |
| 650 | 7 | |a computer-aided designs (visual works) |2 aat | |
| 650 | 7 | |a data processing. |2 aat | |
| 650 | 7 | |a computer science. |2 aat | |
| 650 | 7 | |a computer-aided design (process) |2 aat | |
| 650 | 7 | |a Electronic data processing |2 fast | |
| 650 | 7 | |a Spline theory |x Data processing |2 fast | |
| 650 | 7 | |a Computer-aided design |2 fast | |
| 650 | 7 | |a Computer graphics |2 fast | |
| 650 | 7 | |a Computer science |2 fast | |
| 650 | 1 | 7 | |a Splines. |2 gtt |
| 650 | 1 | 7 | |a Computergraphics. |2 gtt |
| 650 | 7 | |a Processamento grafico (graphics) |2 larpcal | |
| 700 | 1 | |a Tiller, Wayne. | |
| 758 | |i has work: |a The NURBS book (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGYYywGc9f8Q7jpDhY7Dtq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9783540615453 |
| 830 | 0 | |a Monographs in visual communication. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3092619 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL3092619 | ||
| 938 | |a Internet Archive |b INAR |n nurbsbook00pieg | ||
| 938 | |a YBP Library Services |b YANK |n 13359401 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH29632253 | ||
| 994 | |a 92 |b IZTAP | ||