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.
Item URL in elib: | https://elib.dlr.de/13785/ | ||||||||||||
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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: |
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Date: | 2000 | ||||||||||||
Journal or Publication Title: | Mustererkennung 2000 | ||||||||||||
Open Access: | No | ||||||||||||
Gold Open Access: | No | ||||||||||||
In SCOPUS: | No | ||||||||||||
In ISI Web of Science: | No | ||||||||||||
Page Range: | pp. 333-340 | ||||||||||||
Editors: |
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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: | Micknaus, Ilka | ||||||||||||
Deposited On: | 16 Sep 2005 | ||||||||||||
Last Modified: | 14 Jan 2010 20:58 |
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