Subdivision Methods for Geometric Design: A Constructive Approach / Edition 1

Hardcover (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $23.43
Usually ships in 1-2 business days
(Save 71%)
Other sellers (Hardcover)
  • All (7) from $23.43   
  • New (1) from $119.00   
  • Used (6) from $23.43   
Sort by
Page 1 of 1
Showing All
Note: Marketplace items are not eligible for any coupons and promotions
Seller since 2008

Feedback rating:



New — never opened or used in original packaging.

Like New — packaging may have been opened. A "Like New" item is suitable to give as a gift.

Very Good — may have minor signs of wear on packaging but item works perfectly and has no damage.

Good — item is in good condition but packaging may have signs of shelf wear/aging or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Acceptable — item is in working order but may show signs of wear such as scratches or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Used — An item that has been opened and may show signs of wear. All specific defects should be noted in the Comments section associated with each item.

Refurbished — A used item that has been renewed or updated and verified to be in proper working condition. Not necessarily completed by the original manufacturer.


Ships from: Chicago, IL

Usually ships in 1-2 business days

  • Standard, 48 States
  • Standard (AK, HI)
Page 1 of 1
Showing All
Sort by


"The authors of this book have been on the forefront of these advances, and this book represents the first comprehensive description of subdivision methods. However, the book is not simply a collection of material that can be found in the open literature. Rather, it offers a deep and unique perspective into the world of subdivision. I learned a tremendous amount from reading this book. I'm sure you will, too."
—Tony DeRose, Pixar Animation Studios

The world's leading animation houses rely increasingly on subdivision methods for creating realistic-looking complex shapes. However, until now there was no one book devoted to this powerful geometric modeling technique. Subdivision Methods for Geometric Design does the job with authority and precision, providing all that is needed to understand how subdivision works its magic, and how to make that magic work.

Throughout the book, icons cue readers to visit a companion website loaded with interactive exercises, implementations of the book's images, and supplementary material. Rich in theory, analysis, and practical information, this book is the complete resource for subdivision methods.


*The result of a collaboration between a leading university researcher and an industry practitioner

*The only book devoted exclusively and comprehensively to this important new technology

*Provides solid background and theoretical analysis of subdivision as well as a wide variety of specific applications

*Addresses algorithms for Bezier and uniform B-Spline curves, Catmull-Clark subdivision for quad meshes, and regularity tests for polyhedral meshes

*The companion website( provides opportunities for readers to experiment hands-on with implementations in a richly interactive environment

*Includes a foreword by Tony DeRose, recipient of the 1999 ACM Computer Graphics Achievement Award for his seminal work in subdivision methods

Audience: Software developers for CAD and CAM systems, geometric modeling researchers, mathematicians, and engineers, and graphics programmers.

Read More Show Less

Product Details

Meet the Author

Joe Warren, Professor of Computer Science at Rice University since 1986, is one of the world's leading experts on subdivision. Of his nearly 50 computer science papers-published in prestigious forums such as SIGGRAPH, Transactions on Graphics, Computer-Aided Geometric Design, and The Visual Computer-a dozen specifically address subdivision and its applications to computer graphics. Prof. Warren received both his M.S. and Ph.D. in Computer Science at Cornell University. His research interests focus on mathematical methods for representing geometric shape.

Henrik Weimer is a research scientist at the DaimlerChrysler Corporate Research Center in Berlin, where he works on knowledge-based support for the design and creation of engineering products. Dr. Weimer obtained his Ph.D. in Computer Science from Rice University.

Read More Show Less

Table of Contents

Table of Symbols
Ch. 1 Subdivision: Functions as Fractals
1.1 Functions
1.2 Fractals
1.3 Subdivision
Ch. 2 An Integral Approach to Uniform Subdivision
2.1 A Subdivision Scheme for B-splines
2.2 A Subdivision Scheme for Box Splines
2.3 B-splines and Box Splines as Piecewise Polynomials
Ch. 3 Convergence Analysis for Uniform Subdivision Schemes
3.1 Convergence of a Sequence of Functions
3.2 Analysis of Univariate Schemes
3.3 Analysis of Bivariate Schemes
Ch. 4 A Differential Approach to Uniform Subdivision
4.1 Subdivision for B-splines
4.2 Subdivision for Box Splines
4.3 Subdivision for Exponential B-splines
4.4 A Smooth Subdivision Scheme with Circular Precision
Ch. 5 Local Approximation of Global Differential Schemes
5.1 Subdivision for Polyharmonic Splines
5.2 Local Approximations to Polyharmonic Splines
5.3 Subdivision for Linear Flows
Ch. 6 Variational Schemes for Bounded Domains
6.1 Inner Products for Stationary Subdivision Schemes
6.2 Subdivision for Natural Cubic Splines
6.3 Minimization of the Variational Scheme
6.4 Subdivision for Bounded Harmonic Splines
Ch. 7 Averaging Schemes for Polyhedral Meshes
7.1 Linear Subdivision for Polyhedral Meshes
7.2 Smooth Subdivision for Quad Meshes
7.3 Smooth Subdivision for Triangle Meshes
7.4 Other Types of Polyhedral Schemes
Ch. 8 Spectral Analysis at an Extraordinary Vertex
8.1 Convergence Analysis at an Extraordinary Vertex
8.2 Smoothness Analysis at an Extraordinary Vertex
8.3 Verifying the Smoothness Conditions for a Given Scheme
8.4 Future Trends in Subdivision
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)