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Moment Invariants for 2D Flow Fields via Normalization in Detail

Bujack, Roxana and Hotz, Ingrid and Scheuermann, Gerik and Hitzer, Eckard (2015) Moment Invariants for 2D Flow Fields via Normalization in Detail. IEEE Transactions on Visualization and Computer Graphics, ?, ?. IEEE - Institute of Electrical and Electronics Engineers. DOI: [10.1109/TVCG.2014.2369036] ISSN 1077-2626

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Official URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6951493

Abstract

he analysis of 2D flow data is often guided by the search for characteristic structures with semantic meaning. One way to approach this question is to identify structures of interest by a human observer, with the goal of finding similar structures in the same or other datasets. The major challenges related to this task are to specify the notion of similarity and define respective pattern descriptors. While the descriptors should be invariant to certain transformations, such as rotation and scaling, they should provide a similarity measure with respect to other transformations, such as deformations. In this paper, we propose to use moment invariants as pattern descriptors for flow fields. Moment invariants are one of the most popular techniques for the description of objects in the field of image recognition. They have recently also been applied to identify 2D vector patterns limited to the directional properties of flow fields. Moreover, we discuss which transformations should be considered for the application to flow analysis. In contrast to previous work, we follow the intuitive approach of moment normalization, which results in a complete and independent set of translation, rotation, and scaling invariant flow field descriptors. They also allow to distinguish flow features with different velocity profiles. We apply the moment invariants in a pattern recognition algorithm to a real world dataset and show that the theoretical results can be extended to discrete functions in a robust way.

Item URL in elib:https://elib.dlr.de/93796/
Document Type:Article
Title:Moment Invariants for 2D Flow Fields via Normalization in Detail
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Bujack, RoxanaUniveitaet LeipzigUNSPECIFIED
Hotz, IngridUNSPECIFIEDUNSPECIFIED
Scheuermann, GerikUniveitaet LeipzigUNSPECIFIED
Hitzer, EckardInternational Christan University, TokioUNSPECIFIED
Date:2015
Journal or Publication Title:IEEE Transactions on Visualization and Computer Graphics
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:?
DOI :[10.1109/TVCG.2014.2369036]
Page Range:?
Publisher:IEEE - Institute of Electrical and Electronics Engineers
ISSN:1077-2626
Status:Accepted
Keywords:Flow visualization Pattern recognition
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Technik für Raumfahrtsysteme
DLR - Research theme (Project):R - Vorhaben SISTEC
Location: Braunschweig
Institutes and Institutions:Institut of Simulation and Software Technology > Software for Space Systems and Interactive Visualisation
Deposited By: Hotz, Ingrid
Deposited On:13 Feb 2015 10:29
Last Modified:06 Sep 2019 15:19

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