Ebook: 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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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

---

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
Content:
Front Matter....Pages i-xiv
Curve and Surface Basics....Pages 1-46
B-Spline Basis Functions....Pages 47-79
B-spline Curves and Surfaces....Pages 81-116
Rational B-spline Curves and Surfaces....Pages 117-139
Fundamental Geometric Algorithms....Pages 141-228
Advanced Geometric Algorithms....Pages 229-279
Conics and Circles....Pages 281-331
Construction of Common Surfaces....Pages 333-360
Curve and Surface Fitting....Pages 361-453
Advanced Surface Construction Techniques....Pages 455-507
Shape Modification Tools....Pages 509-569
Standards and Data Exchange....Pages 571-591
B-spline Programming Concepts....Pages 593-628
Back Matter....Pages 629-646

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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
Content:
Front Matter....Pages i-xiv
Curve and Surface Basics....Pages 1-46
B-Spline Basis Functions....Pages 47-79
B-spline Curves and Surfaces....Pages 81-116
Rational B-spline Curves and Surfaces....Pages 117-139
Fundamental Geometric Algorithms....Pages 141-228
Advanced Geometric Algorithms....Pages 229-279
Conics and Circles....Pages 281-331
Construction of Common Surfaces....Pages 333-360
Curve and Surface Fitting....Pages 361-453
Advanced Surface Construction Techniques....Pages 455-507
Shape Modification Tools....Pages 509-569
Standards and Data Exchange....Pages 571-591
B-spline Programming Concepts....Pages 593-628
Back Matter....Pages 629-646
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