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 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
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Review: The Nurbs BookUser Review - Greg - Goodreads
This taught me everything I needed to be able to understand and use non-uniform rational bsplines for my work. I didn't need quite all the detail in the book - I'm not designing a nurbs library, just ... Read full review
Curve and Surface Basics
12 Power Basis Form of a Curve
13 Bezier Curves
14 Rational Bezier Curves
15 Tensor Product Surfaces
BSpline Basis Functions
22 Definition and Properties of Bspline Basis Functions
92 Global Interpolation
922 GLOBAL CURVE INTERPOLATION WITH END DERIVATIVES SPECIFIED
923 CUBIC SPLINE CURVE INTERPOLATION
924 GLOBAL CURVE INTERPOLATION WITH FIRST DERIVATIVES SPECIFIED
925 GLOBAL SURFACE INTERPOLATION
93 Local Interpolation
932 LOCAL PARABOLIC CURVE INTERPOLATION
933 LOCAL RATIONAL QUADRATIC CURVE INTERPOLATION
23 Derivatives of Bspline Basis Functions The derivative of a basis function is given by
24 Further Properties of the Basis Functions
25 Computational Algorithms
Bspline Curves and Surfaces
33 The Derivatives of a Bspline Curve
34 Definition and Properties of Bspline Surfaces
35 Derivatives of a Bspline Surface
Rational Bspline Curves and Surfaces
43 Derivatives of a NURBS Curve
44 Definition and Properties of NURBS Surfaces
45 Derivatives of a NURBS Surface
Fundamental Geometric Algorithms
53 Knot Refinement
54 Knot Removal
55 Degree Elevation
56 Degree Reduction
Advanced Geometric Algorithms
62 Surface Tangent Vector Inversion
63 Transformations and Projections of Curves and Surfaces
64 Reparameterization of NURBS Curves and Surfaces
65 Curve and Surface Reversal
66 Conversion Between Bspline and Piecewise Power Basis Forms
73 The Quadratic Rational Bezier Arc
74 Infinite Control Points
75 Construction of Circles
76 Construction of Conies
77 Conic Type Classification and Form Conversion
78 Higher Order Circles
83 The General Cylinder
84 The Ruled Surface
85 The Surface of Revolution
86 Nonuniform Scaling of Surfaces
87 A Threesided Spherical Surface
Curve and Surface Fitting
934 LOCAL CUBIC CURVE INTERPOLATION
935 LOCAL BICUBIC SURFACE INTERPOLATION
94 Global Approximation
941 LEAST SQUARES CURVE APPROXIMATION
942 WEIGHTED AND CONSTRAINED LEAST SQUARES CURVE FITTING
943 LEAST SQUARES SURFACE APPROXIMATION
944 APPROXIMATION TO WITHIN A SPECIFIED ACCURACY
95 Local Approximation
951 LOCAL RATIONAL QUADRATIC CURVE APPROXIMATION
952 LOCAL NONRATIONAL CUBIC CURVE APPROXIMATION
103 Skinned Surfaces
104 Swept Surfaces
105 Interpolation of a Bidirectional Curve Network
106 Coons Surfaces
112 Control Point Repositioning
113 Weight Modification
1131 MODIFICATION OF ONE CURVE WEIGHT
1132 MODIFICATION OF TWO NEIGHBORING CURVE WEIGHTS
1133 MODIFICATION OF ONE SURFACE WEIGHT
114 Shape Operators
115 Constraintbased Curve and Surface Shaping
1152 CONSTRAINTBASED SURFACE MODIFICATION
123 NURBS Within the Standards
124 Data Exchange to and from a NURBS System
132 Data Types and Portability
133 Data Structures
134 Memory Allocation
135 Error Control
136 Utility Routines
137 Arithmetic Routines
138 Example Programs
139 Additional Structures
1310 System Structure
Other editions - View all
Piegl la,, Tiller W. — The NURBS Book (Monographs in Visual ...
Название: The NURBS Book (Monographs in Visual Communication) Авторы: Piegl la,, Tiller W. Аннотация:. The second, revised edition of this book covers all ...
lib.mexmat.ru/ books/ 4302
The NURBS book
The NURBS book. Purchase this Book. Source. Pages: 646. Year of Publication: 1995. ISBN:3-540-55069-0. Authors. Les Piegl, Univ. of South Florida, Tampa ...
The NUNBS Book
Welcome to the The NURBS Book, a publication of Springer-Verlag. The book covers all geometrical and algorithmic aspects of (Non-Uniform Rational B-splines) ...
www.cse.usf.edu/ ~lap/ nurbs.htm
For a detailed explanation of NURBS and how to manipulate them, I can strongly recommend the book by Les Piegl and Wayne Tiller called 'The NURBS Book' ISBN ...
Infoscience: Record #25483: The Nurbs book
infoscience. subtitle. Français | English. EPFL > infoscience > Record #25483: The Nurbs book. My actions. Identification. Identification ...
infoscience.epfl.ch/ record/ 25483
DIVERSITY IN GRAPHICS RESEARCH AT USF Dr. Les A. Piegl
of the best selling text, THE NURBS BOOK, published by Springer-Verlag. Dr. Piegl has been Editor-in-Chief. of COMPUTER-AIDED DESIGN (CAD) in the last ...
www.cs.hku.hk/ seminars/ 2003/ 030226b.pdf
sciencedirect - Computer-Aided Design : Splines with Pictures and ...
While The NURBS book by Piegl and Tiller , reviewed in 1996 in CAD, goes into greater detail by including pieces of code, and de Boor's B-form basics  ...
linkinghub.elsevier.com/ retrieve/ pii/ S0010448502001094
Notes: Code is based on the Piegl Nurbs book. The NURBS Book, Les ...
The NURBS Book, Les Piegl and Wayne Tiller, Springer 1997 */ #define GNURBS_MAX_ORDER 16 // // find span - see the NURBS Book // page 68 // int findspan ...
developer.blaxxun.com/ developer/ contact/ 3d/ nurbs/ spec/ gnurbsutil.cpp
The NURBS Book by Les Piegl and Wayne Tiller. Springer-Verlag, 1997, 646 pages, 333 figures. ISBN 3-540-61545-8. Table of Contents. Curve and surface basics ...
B-SPLINES AND NURBS CURVES AND SURFACES
Piegl, L. and Tiller, W: The NURBS Book, 2nd. Edition, Springer Verlag Berlin, 1997. NURBS surfaces are included here as a particular case. However, some ...
personales.unican.es/ iglesias/ CD-CG/ Bsplines.pdf