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Bezier and B-Spline Techniques [Hardcover]

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Item description for Bezier and B-Spline Techniques by Hartmut Prautzsch...

This book provides a solid and uniform derivation of the various properties Bzier and B-spline representations have, and shows the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer Aided Geometric Design with the intension to give a clear and illustrative presentation of the basic principles, as well as a treatment of advanced material including multivariate splines, some subdivision techniques and constructions of free form surfaces with arbitrary smoothness.
The text is beautifully illustrated with many excellent figures to emphasize the geometric constructive approach of this book.

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Item Specifications...

Pages   304
Est. Packaging Dimensions:   Length: 9.45" Width: 6.46" Height: 0.87"
Weight:   1.37 lbs.
Binding  Hardcover
Release Date   Oct 3, 2002
Publisher   Springer
ISBN  3540437614  
ISBN13  9783540437611  

Availability  60 units.
Availability accurate as of Oct 25, 2016 07:10.
Usually ships within one to two business days from La Vergne, TN.
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More About Hartmut Prautzsch

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10Books > Subjects > Science > Mathematics > Number Systems
11Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > Intermediate
12Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus

Reviews - What do customers think about Bezier and B-Spline Techniques?

Good reference maybe  Aug 8, 2006
I'm not sure what sort of person would find this book useful. If you want to LEARN about Bezier or B-Spline curves, then I don't think this book is for you. The authors' stated goal was to "provide a solid and uniform derivation" of Bezier and B-Spline properties. I believe that they have succeeded, almost every factoid I've seen in other books is included and proved rigorously. What is NOT included is any sort of meaningful explanation of the concepts. The material is presented at a breakneck pace, with everything presented exactly once, and most often in mathematical notation rather than in English. This is a good way to pack a lot of material into a few pages, but it makes for pretty difficult reading. I really don't see how a person could possibly follow the exposition in this book unless they basically already knew the material.

If you already are familiar with Bezier and B-Spline techniques, or perhaps you are an expert in a related field like approximation theory, then you might find this useful.

So if the Authors acheived their stated goal, then why only the 3-star rating? I've recently bought quite a few of these books on splines, in preperation to write a chapter in my own (introductory) 3d math book. Most of the material in this book can be found in other books. Of course, all of the books have significant overlap, since they are covering the same subject. But if you could have a book that covers most of the same material AND also has more exposition, I'd go for the one with the more exposition. I don't think there's enough unique material in this book to trade off the loss of the much more graceful exposition in the other books.

In particular, if you're interested in *learning* about Bezier curves or B-Splines, I found these two books much more accessible:

An Introduction to Splines for use Computer Graphics and Geometric Modeling by Bartels et al. has a much slower pace - paradoxially this means that if you're learning the material, you will be able to read it FASTER since you can maintain a constant pace. It focuses on B-Splines and only stops breifly to mention Bezier curves as a general case.

The other book is Curves and Surfaces for COmputer Aided Geometric Design by Farin. He introduces Bezier curves and fully develops them, at a reasonable pace, before discussing B-splines. I personally found this approach to be better from a teaching perspective, since B-Splines are more abstract and Bezier curves are easier to understand. (Be warned that I have a rather old editition, the 2nd, I believe he's on the 5th now. I don't know what all has changed since then.)

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