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IMAGE PROCESSING, PATTERN RECOGNITION
Constraints for Jaccard index-based rotational symmetry focus position in binary images
N. A. Lomov, O. S. Seredin, D. V. Liakhov, O. A. Kushnir Tula State University
Abstract:
This study proposes analytical estimate for the size of a binary raster figure region which is guaranteed to contain the rotational symmetry focus. Focus here is the point a maximum Jaccard index between initial figure and rotated one. The size of the region is determined by the lower estimate of the intersection area during the rotation of the approximating primitives, considering the sizes of the inner and outer parts of the figure relative to the primitive. The smallest circumscribed circle or ellipse and sets of concentric circles and ellipses produced by the principal component analysis were used as the approximating figure. To verify the hypothesis that the size of the region is insignificant compared to the area of the figure, we numerically simulated the proposed method with test image datasets.
Keywords:
central symmetry, rotational symmetry, symmetry focus, Jaccard index
Received: 24.05.2023 Accepted: 22.06.2023
Citation:
N. A. Lomov, O. S. Seredin, D. V. Liakhov, O. A. Kushnir, “Constraints for Jaccard index-based rotational symmetry focus position in binary images”, Computer Optics, 47:6 (2023), 948–957
Linking options:
https://www.mathnet.ru/eng/co1198 https://www.mathnet.ru/eng/co/v47/i6/p948
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Abstract page: | 7 | Full-text PDF : | 2 |
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