Skip to main content

Straight Line Detection as an Optimization Problem: An Approach Motivated by the Jumping Spider Visual System

  • Conference paper
  • First Online:
Biologically Motivated Computer Vision (BMCV 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1811))

Included in the following conference series:

Abstract

Straight lines are important features in images, and their detection plays a major role in the compression, representation and analysis of visual information. The visual system of spiders from the Salticidae family is especially effective for straight line detection, due to their elongated and moveable retinae, which are used to scan the visual field. This paper presents a method for straight line motivated by the visual system of the Salticidae, which uses an optimization strategy (namely Nelder and Mead’s amoeba with simulated annealing) to find maxima on the continuous ρ-θ parameter space that correspond to straight lines in the image. The method considers the spatially quantized nature of the image spaces and allows unlimited parametric resolution without the need to sample large regions of the parameter space.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Barlow, H. “What does the brain see? How does it understand?” IN: Images and Understanding. Cambridge University press, 1990. (pp. 5–25)

    Google Scholar 

  2. Costa, L.F., Effective Detection of Line Segments with Hough Transform. Ph.D. Thesis, King’s College, University of London, 1992.

    Google Scholar 

  3. Costa L.F., “On jumping Spiders and Hough Transform” IN: Systems and Control 94-IASTED. Lugano, Switzerland, Jun 1994. (pp. 138–141)

    Google Scholar 

  4. Forster, L., “Target Discrimination in Jumping Spiders (Araneae: Salticidae)” IN: Neurobiology of Arachnids. Springer-Verlag, Heidelberg, 1985.

    Google Scholar 

  5. Freeman, H., “Boundary Encoding and Processing” IN: Picture Processing and Psychopictorics. Academic Press, New York/London, 1970. (pp. 241–266)

    Google Scholar 

  6. Goldberg, D.E. Genetic Algorithms in Search, Optimization and Machine Learning, Addison-Wesley Publishing Company, 1989.

    Google Scholar 

  7. Holland, J.H. Adaptation in Natural and Artificial Systems, University of Michigan Press, 1975.

    Google Scholar 

  8. Hough, P.V.C., Method and Means for Recognizing Complex Patterns. U.S.Patent 3.069.654, Dec 1962.

    Google Scholar 

  9. Kirkpatrick, J., Gelatt, C.D. and Vecchi, M.P. “Optimization by Simulated Annealing” IN: Science, Vol. 220, n.4598, May 1983. (pp. 671–680)

    Article  MathSciNet  Google Scholar 

  10. Land, M.F., “Morphology and Optics of Spider Eyes” IN: Neurobiology of Arachnids. Springer-Verlag, Heidelberg, 1985.

    Google Scholar 

  11. Melter, R.A., Stojmenovic, I. and Zunic, J. “A New Characterization of Digital Lines by Least Square Fits” IN: Pattern Recognition Letters. Vol. 14, n.2, 1993. (pp. 83–88)

    Article  MATH  Google Scholar 

  12. Metropolis, N., Rosenbluth, A., Rosenbluth, M., Teller, A. and Teller, E. “Equation of State Calculations by Fast Computing Machines” IN: Journal of Chemical Physics, Vol. 21, 1953. (pp. 1087–1090)

    Article  Google Scholar 

  13. Mitchell, M. An Introduction to Genetic Algorithms, The MIT Press, Massachusetts, 1998.

    MATH  Google Scholar 

  14. Nelder, J.A. and Mead, R. “A simplex Method for Function Minimization” IN: The Computer Journal, 1965. (pp. 308–313)

    Google Scholar 

  15. Press, W.H., Teukolski, S.A., Vetterling, W.T. and Flannery, B.P. Numerical Recipes in C, Cambridge University Press, 1992.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin-Heidelberg

About this paper

Cite this paper

da Costa, F.M.G., Costa, L.d.F. (2000). Straight Line Detection as an Optimization Problem: An Approach Motivated by the Jumping Spider Visual System. In: Lee, SW., Bülthoff, H.H., Poggio, T. (eds) Biologically Motivated Computer Vision. BMCV 2000. Lecture Notes in Computer Science, vol 1811. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45482-9_4

Download citation

  • DOI: https://doi.org/10.1007/3-540-45482-9_4

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67560-0

  • Online ISBN: 978-3-540-45482-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics