Skip to main content

Visualizing Projective Shape Space

  • Conference paper
Geometric Science of Information (GSI 2013)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 8085))

Included in the following conference series:

  • 4735 Accesses

Abstract

Projective shape consists of the information in a configuration of points invariant under projective transformations. It is usually studied through projective invariants, the most familiar example being the cross ratio for four collinear points. In this paper a standardized representation of the configuration is investigated which is better suited for quantitative comparisons between different projective shapes.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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.

References

  1. Kent, J.T., Mardia, K.V.: A geometric approach to projective shape and the cross ratio. Biometrika 99, 833–849 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  2. Faugeras, O., Luong, Q.-T.: The Geometry of Multiple Images. MIT Press, Cambridge (2001)

    MATH  Google Scholar 

  3. Hartley, R., Zisserman, A.: Multiple View Geometry in Computer Vision. Cambridge Univ. Press, Cambridge (2000)

    MATH  Google Scholar 

  4. Tyler, D.E.: A distribution-free M-estimator of multivariate scatter. Ann. Stat. 15, 234–251 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  5. Tyler, D.E.: Statistical analysis for the angular central Gaussian distribution on the sphere. Biometrika 74, 579–589 (1987)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kent, J.T. (2013). Visualizing Projective Shape Space. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2013. Lecture Notes in Computer Science, vol 8085. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40020-9_36

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-40020-9_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40019-3

  • Online ISBN: 978-3-642-40020-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics