Geometry and Computing

Analysis and Design of Univariate Subdivision Schemes

Authors: Sabin, Malcolm

  • Contains all the fundamental ideas
  • Presented in an accessible fashion even for those whose mathematics is a tool to be used, not a way of life
  • Separate sections on mathematical techniques provide revision for those needing it
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eBook $44.99
price for USA (gross)
  • ISBN 978-3-642-13648-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-3-642-13647-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.95
price for USA
  • ISBN 978-3-642-26449-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book covers the theory of subdivision curves in detail, which is a prerequisite for that of subdivision surfaces. The book reports on the currently known ways of analysing a subdivision scheme (i.e. measuring criteria which might be important for the application of a scheme to a given context). It then goes on to consider how those analyses can be used in reverse to design a scheme best matching the particular criteria for a given application. The book is presented in an accessible fashion, even for those whose mathematics is a tool to be used, not a way of life. It should provide the reader with a full and deep understanding of the state-of-the-art in subdivision analysis, and separate sections on mathematical techniques provide revision for those needing it. The book will be of great interest to those starting to do research in CAD/CAE. It will also appeal to those lecturing in this subject and industrial workers implementing these methods. The author has spent his professional life on the numerical representation of shape and his book fills a need for a book covering the fundamental ideas in the simplest possible context, that of curves.

About the authors

The author has spent his professional life on the numerical representation of shape.

Reviews

From the reviews:

“The analysis and design of subdivision schemes, by Malcolm Sabin, provides a practical approach to subdivision curve schemes based on the state of the subject mainly from the years 1972–2010 … . The bibliography includes a fairly comprehensive list of references sorted by year of publication. … It is appropriate for the computer science student wishing to learn about the subject, and can whet the appetite of the more mathematically inclined reader who is interested in further investigation of the subject.” (Scott N. Kersey, Mathematical Reviews, Issue 2011 j)

Table of contents (37 chapters)

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-642-13648-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-3-642-13647-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.95
price for USA
  • ISBN 978-3-642-26449-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Analysis and Design of Univariate Subdivision Schemes
Authors
Series Title
Geometry and Computing
Series Volume
6
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag GmbH Berlin Heidelberg
eBook ISBN
978-3-642-13648-1
DOI
10.1007/978-3-642-13648-1
Hardcover ISBN
978-3-642-13647-4
Softcover ISBN
978-3-642-26449-8
Series ISSN
1866-6795
Edition Number
1
Number of Pages
XIV, 218
Number of Illustrations and Tables
68 b/w illustrations
Topics