Skip to main content

Homogeneous Coordinates

  • Chapter
Computer-Aided Geometric Design
  • 218 Accesses

Abstract

Hompogeneous coordinates were used when proving theorems in projective geometry. An n-dimensional problem has corresponding to it an (n+1)-dimensional problem, and in most cases the (n+1)-dimensional problem is more easily solved than the n-dimensional one. Thus, by projecting the result of the (n+1)dimensional case, one can obtain the result for the n-dimensional case [40]. With homogeneous coordinates, points at infinity can be treated in the same manner as points at finite distances.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer Japan

About this chapter

Cite this chapter

Yamaguchi, F. (2002). Homogeneous Coordinates. In: Computer-Aided Geometric Design. Springer, Tokyo. https://doi.org/10.1007/978-4-431-67881-6_2

Download citation

  • DOI: https://doi.org/10.1007/978-4-431-67881-6_2

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68007-9

  • Online ISBN: 978-4-431-67881-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics