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On generating spatial configurations with identical interpoint distance distributions

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Combinatorial Mathematics VII

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 829))

Abstract

Given 2 sets of n points we wish to place them on the plane such that they are not identical — up to rigid transformations or total reflections — and yet have identical interpoint distance distributions. In this paper we demonstrate a method for doing this with any set of points or figures and demonstrate the application of the finding to image processing studies.

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References

  1. T.M. Caelli and B. Julesz, On perceptual analyzers underlying visual texture discrimination: Part 1, Biol. Cybernetics 28 (1978), 167–175.

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Author information

Authors and Affiliations

  1. Department of Psychology, University of Newcastle, Newcastle

    Terry Caelli

Authors
  1. Terry Caelli
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Editor information

Robert W. Robinson George W. Southern Walter D. Wallis

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© 1980 Springer-Verlag

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Caelli, T. (1980). On generating spatial configurations with identical interpoint distance distributions. In: Robinson, R.W., Southern, G.W., Wallis, W.D. (eds) Combinatorial Mathematics VII. Lecture Notes in Mathematics, vol 829. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088901

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  • DOI: https://doi.org/10.1007/BFb0088901

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10254-0

  • Online ISBN: 978-3-540-38376-5

  • eBook Packages: Springer Book Archive

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