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2015 IEEE Pacific Visualization Symposium (PacificVis) (2015)
Hangzhou, China
April 14, 2015 to April 17, 2015
ISBN: 978-1-4673-6879-7
pp: 9-16
Roxana Bujack , Leipzig University, Germany
Jens Kasten , Leipzig University, Germany
Ingrid Hotz , German Aerospace Center, Germany
Gerik Scheuermann , Leipzig University, Germany
Eckhard Hitzer , International Christian University, Japan
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.
Tensile stress, Three-dimensional displays, Standards, Symmetric matrices, Transforms, Covariance matrices, Matrices

R. Bujack, J. Kasten, I. Hotz, G. Scheuermann and E. Hitzer, "Moment invariants for 3D flow fields via normalization," 2015 IEEE Pacific Visualization Symposium (PacificVis)(PACIFICVIS), Hangzhou, China, 2015, pp. 9-16.
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