Skip to main content

Measuring the Orientability of Shapes

  • Conference paper
Computer Analysis of Images and Patterns (CAIP 2007)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4673))

Included in the following conference series:

  • 1804 Accesses

Abstract

An orientability measure determines how orientable a shape is; i.e. how reliable an estimate of its orientation is likely to be. This is valuable since many methods for computing orientation fail for certain shapes. In this paper several existing orientability measures are discussed and several new orientability measures are introduced. The measures are compared and tested on synthetic and real data.

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

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. Duchêne, C., Bard, S., Barillot, X., Ruas, A., Trévisan, J., Holzapfel, F.: Quantitative and qualitative description of building orientation. In: Workshop on Progress in Automated Map Generalisation (2003)

    Google Scholar 

  2. Gärtner, B.: Fast and robust smallest enclosing balls. In: Nešetřil, J. (ed.) ESA 1999. LNCS, vol. 1643, pp. 325–338. Springer, Heidelberg (1999)

    Google Scholar 

  3. Grayson, M.A.: The heat equation shrinks embedded plane curves to round points. Journal of Differential Geometry 26, 285–314 (1987)

    MATH  MathSciNet  Google Scholar 

  4. McCallum, D., Avis, D.: A linear algorithm for finding the convex hull of a simple polygon. Inform. Process. Lett. 9, 201–206 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  5. Mukundan, R., Ramakrishnan, K.R.: Moment Functions in Image Analysis – Theory and Applications. World Scientific, Singapore (1998)

    MATH  Google Scholar 

  6. Preparata, F.P., Shamos, M.I.: Computational Geometry. Springer, Heidelberg (1985)

    Google Scholar 

  7. Rosin, P.L., Žunić, J.: Measuring rectilinearity. Computer Vision and Image Understanding 99(2), 175–188 (2005)

    Article  Google Scholar 

  8. Shen, D., Ip, H.H.S.: Optimal axes for defining the orientations of shapes. Electronic Letters 32(20), 1873–1874 (1996)

    Article  Google Scholar 

  9. Singer, M.H.: A general approach to moment calculation for polygons and line segments. Pattern Recognition 26(7), 1019–1028 (1993)

    Article  MathSciNet  Google Scholar 

  10. Sonka, M., Hlavac, V., Boyle, R.: Image Processing, Analysis, and Machine Vision. PWS (1998)

    Google Scholar 

  11. Süße, H., Ditrich, F.: Robust determination of rotation-angles for closed regions using moments. In: Int. Conf. Image Processing, vol. 1, pp. 337–340 (2005)

    Google Scholar 

  12. Tsai, W.H., Chou, S.L.: Detection of generalized principal axes in rotationally symetric shapes. Pattern Recognition 24(1), 95–104 (1991)

    Article  MathSciNet  Google Scholar 

  13. Žunić, J.: Boundary based orientation of polygonal shapes. In: Chang, L.-W., Lie, W.-N. (eds.) PSIVT 2006. LNCS, vol. 4319, pp. 108–117. Springer, Heidelberg (2006)

    Google Scholar 

  14. Žunić, J., Kopanja, L., Fieldsend, J.E.: Notes on shape orientation where the standard method does not work. Pattern Recognition 39(5), 856–865 (2006)

    Article  MATH  Google Scholar 

  15. Žunić, J., Rosin, P.L.: Rectilinearity measurements for polygons. IEEE Trans. on Patt. Anal. and Mach. Intell. 25(9), 1193–1200 (2003)

    Article  Google Scholar 

  16. Žunić, J., Rosin, P.L., Kopanja, L.: On the orientability of shapes. IEEE Trans. on Image Processing 15(11), 3478–3487 (2006)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Walter G. Kropatsch Martin Kampel Allan Hanbury

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rosin, P.L. (2007). Measuring the Orientability of Shapes. In: Kropatsch, W.G., Kampel, M., Hanbury, A. (eds) Computer Analysis of Images and Patterns. CAIP 2007. Lecture Notes in Computer Science, vol 4673. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74272-2_77

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74272-2_77

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74271-5

  • Online ISBN: 978-3-540-74272-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics