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Nonlinear image operators, higher-order statistics,and the AND-like combinations of frequency components

Zetzsche, Christoph and Krieger, Gerhard (2001) Nonlinear image operators, higher-order statistics,and the AND-like combinations of frequency components. In: Proceedings of the 2nd International Symposium on Image and Signal Processsing and Analysis, pp. 119-124. 2nd Intl. Symp. Image and Signal Processing and Analysis, 2001-06-19 - 2001-06-21, Pula, Croatia. ISBN 953-36769-4-0.

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Abstract

The frequency domain plays a key role in the description of signals and systems. In the classical approaches, the individual frequency components are treated as independent: In linear systems, the superposition principle restricts the filtering to an OR-like processing of independent complex exponentials. Likewise, the classical second-order statistic (the powerspectrum) measures only the occurrence of each individual frequency component, independent of whether it occurs in a systematic combination with other components or not. This basic limitation can be overcome by the extension of the classical approaches to nonlinear systems and higher-order statistics, which makes it possible to selectively address AND-like combinations of frequency components. We measure which AND combinations are statistically most relevant in natural images, and investigate how this statistical structure can be exploited by nonlinear Volterra filters.

Document Type:Conference or Workshop Item (Speech, Paper)
Additional Information: LIDO-Berichtsjahr=2002,
Title:Nonlinear image operators, higher-order statistics,and the AND-like combinations of frequency components
Authors:
AuthorsInstitution or Email of Authors
Zetzsche, ChristophUNSPECIFIED
Krieger, GerhardUNSPECIFIED
Date:2001
Journal or Publication Title:Proceedings of the 2nd International Symposium on Image and Signal Processsing and Analysis
Page Range:pp. 119-124
Editors:
EditorsEmail
Loncaric, S.UNSPECIFIED
Babic, H.UNSPECIFIED
ISBN:953-36769-4-0
Status:Published
Keywords:nonlinear image operators, higher-order statistics, intrinsic dimensionality
Event Title:2nd Intl. Symp. Image and Signal Processing and Analysis
Event Location:Pula, Croatia
Event Type:international Conference
Event Dates:2001-06-19 - 2001-06-21
Organizer:IEEE, Cat.No. 01EX480
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W EO - Erdbeobachtung
DLR - Research area:Space
DLR - Program:W EO - Erdbeobachtung
DLR - Research theme (Project):W - Vorhaben Entwicklung eines Mini-SAR (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Microwaves and Radar Institute
Deposited By: Dr.-Ing. Gerhard Krieger
Deposited On:30 Jan 2006
Last Modified:06 Jan 2010 19:39

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