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• W2894843723 startingPage "1140" @default.
• W2894843723 abstract "Vector fields are a special kind of multidimensional data, which are in a certain sense similar to digital color images, but are distinct from them in several aspects. In each pixel, the field is assigned to a vector that shows the direction and the magnitude of the quantity, which has been measured. To detect the patterns of interest in the field, special matching methods must be developed. In this paper, we propose a method for the description and matching of vector field patterns under an unknown affine transformation of the field. Unlike digital images, transformations of vector fields act not only on the spatial coordinates but also on the field values, which makes the detection different from the image case. To measure the similarity between the template and the field patch, we propose original invariants with respect to total affine transformation. They are designed from the vector field moments. It is demonstrated by experiments on real data from fluid mechanics that they perform significantly better than potential competitors." @default.
• W2894843723 created "2018-10-12" @default.
• W2894843723 creator A5022073855 @default.
• W2894843723 creator A5043359383 @default.
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• W2894843723 date "2021-04-01" @default.
• W2894843723 modified "2023-10-16" @default.
• W2894843723 title "Affine Invariants of Vector Fields" @default.
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• W2894843723 doi "https://doi.org/10.1109/tpami.2019.2951664" @default.
• W2894843723 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/31714215" @default.
• W2894843723 hasPublicationYear "2021" @default.
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