Skip to main content
  • 215 Accesses

Abstract

In the two-sided space, it is possible to treat oriented lines (or planes), signed angles, line segments and convex sets, which could not be treated in classical projective space, while still retaining the useful properties for geometric computations existing in classical projective space 1).

Since two-side space is also a kind of projective space, when it is necessary in this book to distinguish it from the space represented by unsigned homogeneous coordinates, the term “classical projective space” is sometimes used to refer to the latter.

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). Two-Sided Space. In: Computer-Aided Geometric Design. Springer, Tokyo. https://doi.org/10.1007/978-4-431-67881-6_4

Download citation

  • DOI: https://doi.org/10.1007/978-4-431-67881-6_4

  • 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