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The Monogenic Scale Space on a Rectangular Domain and its Features
Linköping University, Department of Electrical Engineering, Computer Vision. Linköping University, The Institute of Technology.
University of Technology, Eindhoven.
University of Technology, Eindhoven.
2005 (English)In: International journal of computer vision., Vol. 64, no 2--3Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2005. Vol. 64, no 2--3
Keyword [en]
scale space, monogenic, Poisson kernel, Riesz transform, local phase, DCT
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-23969Local ID: 3519OAI: diva2:244285
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2011-08-26

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