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The NURBS Book (Monographs in Visual Communication), by Les A. Piegl, Wayne Tiller
PDF Ebook The NURBS Book (Monographs in Visual Communication), by Les A. Piegl, Wayne Tiller
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Until recently B-spline curves and surfaces (NURBS) were principally of interest to the computer aided design community, where they have become the standard for curve and surface description. Today we are seeing expanded use of NURBS in modeling objects for the visual arts, including the film and entertainment industries, art, and sculpture. NURBS are now also being used for modeling scenes for virtual reality applications. These applications are expected to increase. Consequently, it is quite appropriate for The.N'URBS Book to be part of the Monographs in Visual Communication Series. B-spline curves and surfaces have been an enduring element throughout my pro fessional life. The first edition of Mathematical Elements for Computer Graphics, published in 1972, was the first computer aided design/interactive computer graph ics textbook to contain material on B-splines. That material was obtained through the good graces of Bill Gordon and Louie Knapp while they were at Syracuse University. A paper of mine, presented during the Summer of 1977 at a Society of Naval Architects and Marine Engineers meeting on computer aided ship surface design, was arguably the first to examine the use of B-spline curves for ship design. For many, B-splines, rational B-splines, and NURBS have been a bit mysterious.
- Sales Rank: #688210 in Books
- Brand: Brand: Springer
- Published on: 2013-10-04
- Released on: 2013-10-04
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x 1.50" w x 6.10" l, 2.10 pounds
- Binding: Paperback
- 646 pages
- Used Book in Good Condition
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
Most helpful customer reviews
10 of 11 people found the following review helpful.
Excellent introduction to splines for the non-mathematician
By A Customer
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.
Good reference for implementers who are familiar with NURBS
By A Customer
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.
17 of 17 people found the following review helpful.
Perfect for the programmer working with NURBS.
By Larry Lukis
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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