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TitleMoment Invariants for the Analysis of 2D Flow Fields (Article)
inIEEE Transactions on Visualization and Computer Graphics (Proceedings IEEE Visualization 2007)
Author(s) Michael Schlemmer, Manuel Heringer, Florian Morr, Ingrid Hotz, Martin Hering-Bertram, Christoph Garth, Wolfgang Kollmann, Bernd Hamann, Hans Hagen
Keyword(s)Flow Visualization, Feature Detection, Pattern Extraction, Image Processing
Year November 2007
Volume13
Number6
Pages1743-1750
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Abstract We present a novel approach for analyzing two-dimensional (2D) flow field data based on the idea of invariant moments. Moment invariants have traditionally been used in computer vision applications, and we have adapted them for the pur pose of interactive exploration of flow field data. The new class of moment invariants we have developed allows us to extract and visualize 2D flow patterns, invariant under translation, scaling, and rotation. With our approach one can study arbitrar y flow patterns by searching a given 2D flow data set for any type of pattern as specified by a user. Further, our approach suppor ts the computation of moments at multiple scales, facilitating fast pattern extraction and recognition. This can be done for critical point classification, but also for patterns with greater complexity. This multi-scale moment representation is also valuable for the comparative visualization of flow field data. The specific novel contributions of the work presented are the mathematical derivation of the new class of moment invariants, their analysis regarding critical point features, the efficient computation of a novel feature space representation, and based upon this the development of a fast pattern recognition algorithm for complex flow structures.