Scale and rotation invariant detection of singular patterns in vector flow fields. Liu, W. & Ribeiro, E. 2010. Website doi abstract bibtex We present a method for detecting and describing features in vector flow fields. Our method models flow fields locally using a linear combination of complex monomials. These monomials form an orthogonal basis for analytic flows with respect to a correlation-based inner-product. We investigate the invariance properties of the coefficients of the approximation polynomials under both rotation and scaling operators. We then propose a descriptor for local flow patterns, and developed a method for comparing them invariantly against rigid transformations. Additionally, we propose a SIFT-like detector that can automatically detect singular flow patterns at different scales and orientations. Promising detection results are obtained on different fluid flow data.
@misc{
title = {Scale and rotation invariant detection of singular patterns in vector flow fields},
type = {misc},
year = {2010},
source = {Structural, Syntactic, and Statistical Pattern Recognition},
pages = {522-531},
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publisher = {Springer, Berlin, Heidelberg},
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abstract = {We present a method for detecting and describing features in vector flow fields. Our method models flow fields locally using a linear combination of complex monomials. These monomials form an orthogonal basis for analytic flows with respect to a correlation-based inner-product. We investigate the invariance properties of the coefficients of the approximation polynomials under both rotation and scaling operators. We then propose a descriptor for local flow patterns, and developed a method for comparing them invariantly against rigid transformations. Additionally, we propose a SIFT-like detector that can automatically detect singular flow patterns at different scales and orientations. Promising detection results are obtained on different fluid flow data.},
bibtype = {misc},
author = {Liu, Wei and Ribeiro, Eraldo},
doi = {10.1007/978-3-642-14980-1_51}
}
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