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The Monogenic Scale-Space: A Unifying Approach to Phase-Based Image Processing in Scale-Space
Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Computer Vision.ORCID iD: 0000-0002-6096-3648
2004 (English)In: Journal of Mathematical Imaging and Vision, ISSN 0924-9907, E-ISSN 1573-7683, Vol. 21Article in journal (Refereed) Published
Abstract [en]

In this paper we address the topics of scale-space and phase-based image processing in a unifying framework. In contrast to the common opinion, the Gaussian kernel is not the unique choice for a linear scale-space. Instead, we chose the Poisson kernel since it is closely related to the monogenic signal, a 2D generalization of the analytic signal, where the Riesz transform replaces the Hilbert transform. The Riesz transform itself yields the flux of the Poisson scale-space and the combination of flux and scale-space, the monogenic scale-space, provides the local features phase-vector and attenuation in scale-space. Under certain assumptions, the latter two again form a monogenic scale-space which gives deeper insight to low-level image processing. In particular, we discuss edge detection by a new approach to phase congruency and its relation to amplitude based methods, reconstruction from local amplitude and local phase, and the evaluation of the local frequency.

 

Place, publisher, year, edition, pages
2004. Vol. 21
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-41579Local ID: 57874OAI: oai:DiVA.org:liu-41579DiVA: diva2:262433
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2017-12-13

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Felsberg, Michael

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