Moment invariants for 3D flow fields via normalization

Author

Bujack, Roxana ; Kasten, Jens ; Hotz, Ingrid ; Scheuermann, Gerik ; Hitzer, Eckhard

Author_Institution

Leipzig Univ., Leipzig, Germany

fYear

2015

fDate

14-17 April 2015

Firstpage

9

Lastpage

16

Abstract

We generalize the framework of moments and introduce a definition of invariants for three-dimensional vector fields. To do so, we use the method of moment normalization that has been shown to be useful in the two dimensions. Using invariant moments, we show how to search for patterns in these fields independent from their position, orientation and scale. From the first order vector moment tensor, we construct a complete and independent set of descriptors. We test the invariants in queries on synthetic and real world flow fields.

Keywords

computational geometry; tensors; 3D flow fields; first-order vector moment tensor; invariant moments; moment normalization; pattern search; real-world flow fields; synthetic flow fields; three-dimensional vector fields; Covariance matrices; Matrices; Standards; Symmetric matrices; Tensile stress; Three-dimensional displays; Transforms; I.4.7 [Image Processing and Computer Vision]: Feature Measurement —Moments; I.5.2 [Pattern Recognition]: Design Methodology —Classifier design and evaluation;

fLanguage

English

Publisher

ieee

Conference_Titel

Visualization Symposium (PacificVis), 2015 IEEE Pacific

Conference_Location

Hangzhou

Type

conf

DOI

10.1109/PACIFICVIS.2015.7156350

Filename

7156350