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The Nurbs Book (Monographs in Visual Communication) [Paperback]

L. Piegl , Les A. Piegl , Wayne Tiller
5.0 out of 5 stars  See all reviews (2 customer reviews)
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Book Description

4 Oct 2013 3540615458 978-3540615453 2
The second, revised edition of this 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.

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From the Back Cover

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

Inside This Book (Learn More)
First Sentence
The two most common methods of representing curves and surfaces in geometric modeling are implicit equations and parametric functions. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Most Helpful Customer Reviews
4 of 4 people found the following review helpful
5.0 out of 5 stars An excellent book with good examples 2 Dec 1998
By A Customer
Format:Paperback
I'm still working through the maths involved, but this is a really good reference for anyone interested in programming with parametric surfaces, which - especially for us in the games industry - is where the all the action will be in the coming years. The example code is pretty useful, and I really must mention all the many illustrations, which are all computer-generated (so they're very precise) and are extremely handy for visualising what the text is referring to. Highly recommended.
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3 of 3 people found the following review helpful
Format:Paperback
As a non-mathematician (games programmer) I was at first rather horrified by some of the formulae presented. However all is forgiven, the worked examples hold your hand through the intricacies and the pseudo-code algorithms given are excellent and very simple to implement.
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Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com: 4.5 out of 5 stars  8 reviews
16 of 16 people found the following review helpful
5.0 out of 5 stars Perfect for the programmer working with NURBS. 3 Oct 1998
By Larry Lukis - Published on Amazon.com
Format:Paperback
I have a reasonable if dated math background, but I'm not a mathematician, I'm a programmer. I was able to work through enough of the math to extract very practical and useful knowledge for my graphics programming work.
I've gone through 3 other graphics book trying to get enough clear information on NURBs, but they were all either inadequate or obscure.
"The NURBS Book" is the one you want.
10 of 11 people found the following review helpful
4.0 out of 5 stars Excellent introduction to splines for the non-mathematician 11 Feb 2000
By "mervyn@ynnmail.com" - Published on Amazon.com
Format:Paperback
One of the greates assets of this book is that it is fairly comprehensive while still using a minimum amount of mathematics. The style is lucid, easy to follow; the numerous C-like algorithms can be adapted to one's own use, and deal with the most important aspect of NURBS. This is easily the best introductory NURBS text. The only problem I see is the lack of discussion for ray-surface intersection tests, which are necessary if NURBS are to be rendered by raytracing. I recommend "The Nurbs Book" to any engineers and graphics professionals interested in curved surfaces.
3 of 3 people found the following review helpful
4.0 out of 5 stars Good reference for implementers who are familiar with NURBS 24 July 2003
By A Customer - Published on Amazon.com
Format:Paperback
This book is best for those who have at least become familiar with Bezier and NURBS curves and surfaces and want to start implementing some programs.
The illustrations are not as clear as they could be so it may make it a little difficult for first-timers to understand. If you're unfamiliar with Bezier and NURBS curves then "Curves and Surfaces for CAGD" by Farin is probably a better place to start. But if you get Farin's book make sure to get the 5th edition since earlier editions aren't as clear.
With that said there is a wealth of information about creating and manipulating NURBS geometry in this book. All explanations are followed by code implementation. The code is a little difficult to understand at first, but if you stick with it you'll understand their coding style.
4 stars since thier layout and illustrations could be a lot clearer.
1 of 1 people found the following review helpful
5.0 out of 5 stars An Essential Foundation 7 Aug 2002
By "stodas" - Published on Amazon.com
Format:Paperback
I own many books on the subject of NURBS. I always come back to this one while programming NURBS and reading research papers. It provides a fantastic foundation. It is an older book, so don't expect recent research to be included. For those that also want to know how to do ray tracing with NURBS surfaces look here:
...
Good luck!
4 of 7 people found the following review helpful
5.0 out of 5 stars Very practical and a little bit best 22 Jan 1999
By A Customer - Published on Amazon.com
Format:Paperback
In this book, you will begin to understand what the good algorithms are. And most of all, you will master all the fundamental ideas about surface design, definitely including curve design. The most pity of this book is that we can not find the origin of the curves and surfaces, I mean how the inventor created them. Of course, it is the highest requirement for every author.
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