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International Conference on Scale-Space Theories in Computer Vision

Scale-Space 1997: Scale-Space Theory in Computer Vision pp 309–314Cite as

Reconstruction of self-similar functions from scale-space

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1252))

Abstract

We provide a solution to the problem of reconstructing a fractal interpolation function from its scale-space zeros. Every fractal interpolation function f has a graph that is the attractor of an iterated functions system defined by contractive maps w 1,⋯, w n. We construct approximations of these maps from fingerprints in scale-space.

Supported in part by Texas ATP under grant number TATP 003604-018 and Alexander von Humboldt-Stiftung, Germany.

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References

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Authors and Affiliations

  1. Department of Mathematics, Rice University, 77005-1892, Houston, TX

    Kathrin Berkner

Authors
  1. Kathrin Berkner
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Bart ter Haar Romeny Luc Florack Jan Koenderink Max Viergever

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© 1997 Springer-Verlag Berlin Heidelberg

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Berkner, K. (1997). Reconstruction of self-similar functions from scale-space. In: ter Haar Romeny, B., Florack, L., Koenderink, J., Viergever, M. (eds) Scale-Space Theory in Computer Vision. Scale-Space 1997. Lecture Notes in Computer Science, vol 1252. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63167-4_60

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  • DOI: https://doi.org/10.1007/3-540-63167-4_60

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63167-5

  • Online ISBN: 978-3-540-69196-9

  • eBook Packages: Springer Book Archive

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