Constraints for Jaccard index-based rotational symmetry focus position in binary images
Автор: Lomov N.A., Seredin O.S., Liakhov D.V., Kushnir O.A.
Журнал: Компьютерная оптика @computer-optics
Рубрика: Обработка изображений, распознавание образов
Статья в выпуске: 6 т.47, 2023 года.
Бесплатный доступ
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.
Central symmetry, rotational symmetry, symmetry focus, jaccard index
Короткий адрес: https://sciup.org/140303262
IDR: 140303262 | DOI: 10.18287/2412-6179-CO-1357
Список литературы Constraints for Jaccard index-based rotational symmetry focus position in binary images
- Lei Y, Wong KC. Detection and localization of reflectional and rotational symmetry under weak perspective projection. Pattern Recogn 1999; 32(2): 167-180.
- Yip RKK. Genetic Fourier descriptor for the detection of rotational symmetry. Image Vis Comput 2007; 25: 148-154.
- Yip RK, Lam WC, Tam PK, Leung DN. A Hough transform technique for the detection of rotational symmetry. Pattern Recogn Lett 1994; 15(9): 919-928.
- Llados J, Bunke H, Marti E. Finding rotational symmetries by cyclic string matching. Pattern Recogn Lett 1997; 18(14): 1435-1442.
- Aguilar W, et al. Detection of rotational symmetry in curves represented by the slope chain code. Pattern Recogn 2020; 107: 107421.
- Seredin O, Liakhov D, Kushnir O, Lomov N. Jaccard index-based detection of order 2 rotational quasi-symmetry focus for binary images. Pattern Recogn Image Anal 2022; 32(3): 672-681.
- Jaccard P. Etude comparative de la distribution florale dans une portion des Alpes et des Jura. Bull Soc Vaudoise Sci Nat 101; 37: 547-579.
- Lomov N, Seredin O, Kushnir O, Liakhov D. Search for rotational symmetry of binary images via radon transform and fourier analysis. Proc 18th Int Joint Conf on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISAPP) 2023; 4: 280-289.
- Dimitrov D, Knauer C, Kriegel K, Rote G. Bounds on the quality of the PCA bounding boxes. Comput Geom 2009; 42(4): 772-789. DOI: 10.1016/j.comgeo.2008.02.007.
- Shiang S-P, Liu J-S, Chien Y-R. Estimate of minimum distance between convex polyhedra based on enclosed ellipsoids. IEEE Int Conf on Intelligent Robots and Systems 2000; 1: 739-744. DOI: 10.1109/IROS.2000.894692.
- Wu SG, Bao FS, Xu EY, Wang Y-X, Chang Y-F, Xiang Q-L. A leaf recognition algorithm for plant classification using probabilistic neural network. 2007 IEEE Int Symposium on Signal Processing and Information Technology 2007: 11-16.
- Latecki LJ, Lakamper R. Shape similarity measure based on correspondence of visual parts. IEEE Trans Pattern Anal Mach Intell 2000; 22(10): 1185-1190.
