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The NURBS Book (Monographs in Visual Communication) Paperback – October 4, 2013

4.5 out of 5 stars 11 customer reviews

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Editorial Reviews

Review

"Piegl and Tiller offer an excellent source of information on NURBS (nonuniform rational B-spines), which fills a very large gap in the technical literature related to CAD/CAM/CAE. It is written for the average engineer with elementary knowledge of college mathematics and computing. It would be very useful to students, teachers, and designers of geometric modeling systems. A well-presented work, with abundant computer-generated figures." -- Choice

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
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Product Details

  • Series: Monographs in Visual Communication
  • Paperback: 646 pages
  • Publisher: Springer; 2nd edition (November 14, 1996)
  • Language: English
  • ISBN-10: 3540615458
  • ISBN-13: 978-3540615453
  • Product Dimensions: 6.1 x 1.5 x 9.2 inches
  • Shipping Weight: 2.5 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (11 customer reviews)
  • Amazon Best Sellers Rank: #185,844 in Books (See Top 100 in Books)

Customer Reviews

Top Customer Reviews

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.
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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.
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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.
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Format: Paperback Verified Purchase
The only competition out there to Piegl and Tiller's seminal work is Gerald Farin's stuff. If you need to know about or use Bezier curves, B splines or NURBS, you need this book. The font being small and the wireframe diagrams being a bit hard to interpret are my only criticisms of this book...really, overall it is excellent and comprehensive.
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By A Customer on August 6, 2002
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!
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Format: Kindle Edition
I have one pertinent thing to add to the other reviews: the index is quite lacking. I haven't yet been able to find anything I wanted to look up in the index.
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