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Riesz Transforms for the Isotropic Estimation of the Local Phase of Moiré Interferograms

Bülow, T. and Pallek, D. and Sommer, G. (2000) Riesz Transforms for the Isotropic Estimation of the Local Phase of Moiré Interferograms. In: Mustererkennung 2000, pp. 333-340. Springer Verlang, Berlin. DAGM 2000, 22. Symposium für Mustererkennung, Kiel, 13.-15.09.2000. ISBN 3-540-67886-7.

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Abstract

The estimation of the local phase and local amplitude of 1-D signals can be realized by the construction of the analytic signal. This includes the evaluation of the signal´s Hilbert transform, which performs a phase shift. In the past, different definitions of the analytic signal of multidimensional signals have been proposed, all of which are based on different combinations of partial and total Hilbert transforms. None of these approaches is isotropic. We propose the use of Riesz transforms which are known to mathematicians as appropriate generalizations of the Hilbert transform to n-D. This approach allows the isotropic estimation of the intrinsically 1-D local image phase. Applications to Moir(´e) interferograms are shown.

Document Type:Conference or Workshop Item (Paper)
Additional Information: LIDO-Berichtsjahr=2001,
Title:Riesz Transforms for the Isotropic Estimation of the Local Phase of Moiré Interferograms
Authors:
AuthorsInstitution or Email of Authors
Bülow, T.UNSPECIFIED
Pallek, D.UNSPECIFIED
Sommer, G.UNSPECIFIED
Date:2000
Journal or Publication Title:Mustererkennung 2000
Page Range:pp. 333-340
Editors:
EditorsEmail
Gerald Sommer Norbert Krüger Christian Perwass, UNSPECIFIED
Publisher:Springer Verlang, Berlin
ISBN:3-540-67886-7
Status:Published
Keywords:Analytic signal, Hilbert transform, Riesz transform,
Event Title:DAGM 2000, 22. Symposium für Mustererkennung, Kiel, 13.-15.09.2000
Organizer:DAGM
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Aeronautics
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L ST - Starrflüglertechnologien
DLR - Research theme (Project):UNSPECIFIED
Location: Köln-Porz , Braunschweig , Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Institut für Strömungsmechanik
Deposited By: Ilka Micknaus
Deposited On:16 Sep 2005
Last Modified:14 Jan 2010 20:58

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