Skip to main content
  • 100 Accesses

Abstract

The study of convex sets is a branch of geometry, analysis and linear algebra, which has numerous connections with other areas of mathematics, including topology, number theory and combinatorics [6, 14, 21]. Researchers have explored not only mathematical properties of convex sets, but also related computational problems [5, 13, 34], and applied the resulting algorithms in many practical areas, such as graphics, finite-element analysis, VLSI design and motion planning. They have also studied several types of nontraditional convexity, such as ortho-convexity [28, 30], restricted-orientation convexity [35], NESW convexity [25, 49, 50] and link convexity [2, 52].

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
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

© 2004 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Fink, E., Wood, D. (2004). Introduction. In: Restricted-Orientation Convexity. Monographs in Theoretical Computer Science. An EATCS Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18849-7_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-18849-7_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62323-3

  • Online ISBN: 978-3-642-18849-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics