Detecting singular patterns in 2D vector fields using weighted Laurent polynomial. Liu, W. & Ribeiro, E. Pattern Recognition, 45(11):3912-3925, Pergamon, 4, 2012.
Detecting singular patterns in 2D vector fields using weighted Laurent polynomial [link]Website  doi  abstract   bibtex   
In this paper, we propose a method for detecting patterns of interest in vector fields. Our method detects patterns in a scale- and rotation-invariant manner. It works by approximating the vector-field data locally using a Laurent polynomial weighted by radial basis functions. The proposed representation is able to model both analytic and non-analytic flow fields. Invariance to scale and rotation is achieved by combining the linearity properties of the model coefficients and a scale-space parameter of the radial basis functions. Promising detection results are obtained on a variety of fluid-flow sequences. © 2012 Elsevier Ltd. All rights reserved.
@article{
 title = {Detecting singular patterns in 2D vector fields using weighted Laurent polynomial},
 type = {article},
 year = {2012},
 keywords = {Complex-valued function,Laurent polynomials,Scale- and rotation-invariance,Singular-pattern detection,Vector fields},
 pages = {3912-3925},
 volume = {45},
 websites = {https://www.sciencedirect.com/science/article/pii/S0031320312002051},
 month = {4},
 publisher = {Pergamon},
 id = {cbfa91e7-6cad-35ed-9166-39b6d4808341},
 created = {2021-04-09T15:24:38.546Z},
 file_attached = {false},
 profile_id = {75799766-8e2d-3c98-81f9-e3efa41233d0},
 group_id = {c9329632-2a50-3043-b803-cadc8dbdfc3f},
 last_modified = {2021-04-09T15:24:38.546Z},
 read = {false},
 starred = {false},
 authored = {false},
 confirmed = {false},
 hidden = {false},
 source_type = {article},
 private_publication = {false},
 abstract = {In this paper, we propose a method for detecting patterns of interest in vector fields. Our method detects patterns in a scale- and rotation-invariant manner. It works by approximating the vector-field data locally using a Laurent polynomial weighted by radial basis functions. The proposed representation is able to model both analytic and non-analytic flow fields. Invariance to scale and rotation is achieved by combining the linearity properties of the model coefficients and a scale-space parameter of the radial basis functions. Promising detection results are obtained on a variety of fluid-flow sequences. © 2012 Elsevier Ltd. All rights reserved.},
 bibtype = {article},
 author = {Liu, Wei and Ribeiro, Eraldo},
 doi = {10.1016/j.patcog.2012.04.025},
 journal = {Pattern Recognition},
 number = {11}
}

Downloads: 0