Designing Fair Curves and Surfaces: Shape Quality in Geometric Modeling and Computer-Aided Design

Paperback (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $69.95
Usually ships in 1-2 business days
(Save 26%)
Other sellers (Paperback)
  • All (6) from $69.95   
  • New (3) from $97.94   
  • Used (3) from $69.95   
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.

New Book. Shipped from UK within 10 to 14 business days. Established seller since 2000.

Ships from: Horcott Rd, Fairford, United Kingdom

Usually ships in 1-2 business days

  • Standard, 48 States
  • Standard (AK, HI)
Seller since 2008

Feedback rating:


Condition: New
Brand New, Perfect Condition, Please allow 4-14 business days for delivery. 100% Money Back Guarantee, Over 1,000,000 customers served.

Ships from: Westminster, MD

Usually ships in 1-2 business days

  • Canadian
  • International
  • Standard, 48 States
  • Standard (AK, HI)
Seller since 2008

Feedback rating:


Condition: New

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


This state-of-the-art study of the techniques used for designing curves and surfaces for computer-aided design applications focuses on the principle that fair shapes are always free of unessential features and are simple in design. The authors define fairness mathematically, demonstrate how newly developed curve and surface schemes guarantee fairness, and assist the user in identifying and removing shape aberrations in a surface model without destroying the principal shape characteristics of the model. Aesthetic aspects of geometric modeling are of vital importance in industrial design and modeling, particularly in the automobile and aerospace industries. Any engineer working in computer-aided design, computer-aided manufacturing, or computer-aided engineering will want to add this volume to his or her library. Researchers who have a familiarity with basic techniques in computer-aided graphic design and some knowledge of differential geometry will find this book a helpful reference.
Read More Show Less

Editorial Reviews

A collection of papers focusing on the aesthetic aspects of geometric modeling and the problem of visually pleasing curve/surface construction in industrial design and styling. Papers deal with issues of mathematically defined fairness or shape quality, developing new curve and surface schemes that guarantee fairness, and assisting users in identifying shape aberrations in a surface model and removing them without destroying the principal shape characteristics. A common theme to all of the papers is the principle of the simplest shape. Annotation c. Book News, Inc., Portland, OR (
Weston Meyer
This volume, the seventh in a series of geometric design publications from SIAM, focuses on the problem of "visually appealing" line/surface construction. Its twelve chapters explore various ways of (i) defining "fairness" or "shape quality" mathematically, (ii) developing new curve and surface schemes that guarantee fairness, (iii) enabling a user to identify and remove local shape aberrations without global disturbance. A common thread is the use of differential geometry constructs to express fairness.
Mathematics of Computation
Read More Show Less

Product Details

  • ISBN-13: 9780898713329
  • Publisher: SIAM
  • Publication date: 1/28/1987
  • Series: Miscellaneous Bks.
  • Pages: 318
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.71 (d)

Table of Contents

Part I. Fairing Point Sets and Curves. 1. Approximation with Aesthetic Constraints H. G. Burchard, J. A. Ayers, W. H. Frey and N. S. Sapidis; 2. Curvature Integration through Constrained Optimization Alan K. Jones; 3. Automatic Fairing of Point Sets M. Eck and R. Jaspert; 4. Tight String Method to Fair Piecewise Linear Curves Mark Feldman; Part II. Designing Fair Surfaces: 5. Measures of Fairness for Curves and Surfaces John Roulier and Thomas Rando; 6. Minimum Variation Curves and Surfaces for Computer-Aided Geometric Design Henry P. Moreton and Carlo H. S‚quin; 7. Convexity Preserving Surface Interpolation Tim Gallagher and Bruce Piper; Part III. Interactive Techniques for Aesthetic Surface Design: 8. The Highlight Band, a Simplified Reflection Model for Interactive Smoothness Evaluation K .P. Beier and Y. Chen; 9. Interactive Design Using Partial Differential Equations M. I. G. Bloor and M. J. Wilson; 10. Polynomial Splines of Nonuniform Degree: Controlling Convexity and Fairness A. I. Ginnis, P. D. Kaklis, and N. S. Sapidis; Part IV. Special Applications: 11. Constructing C1 Surfaces of Arbitrary Topology Using Biquadratic and Bicubic Splines Jorg Peters; 12. A Convolution Approach to N-Sided Patches and Vertex Blending Yan Zhao and Alyn Rockwood.
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)