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Scales in Natural Images and a Consequence on Their Bounded Variation Norm

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Scale-Space Theories in Computer Vision (Scale-Space 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1682))

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Abstract

This paper introduces a new method for analyzing scaling phenomena in natural images, and draws some consequences as to whether natural images belong to the space of functions with bounded variation.

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Author information

Authors and Affiliations

  1. Departamento de Informatica y Sistemas, Universidad de Las Palmas, Campus de Tafira, 35017, Las Palmas, Spain

    Luis Alvarez

  2. Centre de Mathématiques et leurs Applications, ENS Cachan, 61 av. du Président Wilson, 94235 Cachan Cedex, France

    Yann Gousseau & Jean-Michel Morel

Authors
  1. Luis Alvarez
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  2. Yann Gousseau
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  3. Jean-Michel Morel
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Editor information

Editors and Affiliations

  1. The IT University in Copenhagen, Glentevej 67, DK-2400, Copenhagen NV, Denmark

    Mads Nielsen

  2. Department of Computer Science, University of Copenhagen, Universitetsparken 1, DK-2100, Copenhagen OE, Denmark

    Peter Johansen  & Ole Fogh Olsen  & 

  3. Department of Mathematics and Computer Science, University of Mannheim, D-68131, Mannheim, Germany

    Joachim Weickert

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© 1999 Springer-Verlag Berlin Heidelberg

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Alvarez, L., Gousseau, Y., Morel, JM. (1999). Scales in Natural Images and a Consequence on Their Bounded Variation Norm. In: Nielsen, M., Johansen, P., Olsen, O.F., Weickert, J. (eds) Scale-Space Theories in Computer Vision. Scale-Space 1999. Lecture Notes in Computer Science, vol 1682. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48236-9_22

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  • DOI: https://doi.org/10.1007/3-540-48236-9_22

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66498-7

  • Online ISBN: 978-3-540-48236-9

  • eBook Packages: Springer Book Archive

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