What a treat! Get Apress Access for just $149 Subscribe now >>

Introduction to Geometric Computing

Authors: Ghali, Sherif

  • First book to include geometric issues, implementation issues, base software layers, and geometry background
  • Reviews the geometric theory then applies it in an attempt to find that elusive "right" design
see more benefits

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-84800-115-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-1-84800-114-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

The geometric ideas in computer science, mathematics, engineering, and physics have considerable overlap and students in each of these disciplines will eventually encounter geometric computing problems. The topic is traditionally taught in mathematics departments via geometry courses, and in computer science through computer graphics modules. This text isolates the fundamental topics affecting these disciplines and lies at the intersection of classical geometry and modern computing.

The main theme of the book is the definition of coordinate-free geometric software layers for Euclidean, spherical, projective, and oriented-projective geometries. Results are derived from elementary linear algebra and many classical computer graphics problems (including the graphics pipeline) are recast in this new language. Also included is a novel treatment of classical geometric and solid modeling problems. The definition of geometric software layers promotes reuse, speeds up debugging, and prepares the ground for a thorough discussion of advanced topics.

Start-up programs are provided for many programming exercises making this an invaluable book for computer science lecturers as well as software developers and researchers in the computer graphics industry.

Reviews

From the reviews:

"This textbook is excellent for students and programmers working in geometric computing. … The main theme of the book is the definition of coordinate-free geometric software layers for Euclidean, spherical, projective, and oriented projective geometries. … The reader can learn the way of designing libraries for Euclidean, spherical, projective, and oriented projective geometries. … The author also presents the classical raster graphics algorithms that are traditionally introduced in an undergraduate computer graphics course." (Attila Fazekas, Zentralblatt MATH, Vol. 1154, 2009)


Table of contents (32 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-84800-115-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-1-84800-114-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

Services for this book

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Introduction to Geometric Computing
Authors
Copyright
2008
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84800-115-2
DOI
10.1007/978-1-84800-115-2
Softcover ISBN
978-1-84800-114-5
Edition Number
1
Number of Pages
XVII, 340
Topics