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The Monogenic Scale Space on a Rectangular Domain and its Features

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Abstract

In this paper we present a novel method to implement the monogenic scale space on a rectangular domain. The monogenic scale space is a vector valued scale space based on the Poisson scale space, which establishes a sophisticated alternative to the Gaussian scale space. Previous implementations of the monogenic scale space are Fourier transform based, and therefore suffer from the implicit periodicity in case of finite domains.

The features of the monogenic scale space, including local amplitude, local phase, local orientation, local frequency, and phase congruency, are much easier to interpret in terms of image features evolving through scale than in the Gaussian case. Furthermore, applying results from harmonic analysis, relations between the features are obtained which improve the understanding of image analysis. As applications, we present a very simple but still accurate approach to image reconstruction from local amplitude and local phase and a method for extracting the evolution of lines and edges through scale.

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Author information

Authors and Affiliations

  1. Computer Vision Laboratory, Department of Electrical Engineering, Linköping University, S-58183, Linköping, Sweden

    Michael Felsberg

  2. Department of Biomedical Engineering, Eindhoven University of Technology, P.O. Box 513, NL-5600, MB, Eindhoven, The Netherlands

    Remco Duits & Luc Florack

Authors
  1. Michael Felsberg
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  2. Remco Duits
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  3. Luc Florack
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Corresponding author

Correspondence to Michael Felsberg.

Additional information

First online version published in June, 2005

This work has been supported by DFG Grant FE 583/1-2.

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Felsberg, M., Duits, R. & Florack, L. The Monogenic Scale Space on a Rectangular Domain and its Features. Int J Comput Vision 64, 187–201 (2005). https://doi.org/10.1007/s11263-005-1843-x

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  • DOI: https://doi.org/10.1007/s11263-005-1843-x

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