Methods and algorithms for finding central symmetry in binary images

Authors

Nikita Aleksandrovich Lomov was born in 1992. In 2015 graduated from Lomonosov Moscow State Univer-sity as a specialist in applied mathematics and computer science. In 2020 defended the Ph.D. thesis on "Morpho-logical descriptors of wariable-width objects in digital images". He is now a research scientist in FRC CSC RAS and a senior research scientist in Tula State University. Nikita Lomov is an investigator of several grants of the Russian Science Foundation, Russian Fund for Basic Research and the Ministry of Education and Science of Rus-sian Federation. Research interests: computer vision, image processing, computational geometry, shape analysis, medial representations. He is the author of more than 20 scientific papers and a number of applied software packages.

Oleg Sergeevich Seredin holds a Ph.D. in Theoretical Foundations of Computer Science from the Computing Center of the Russian Academy of Sciences in Moscow, with his thesis on Methods and Algorithms of Featureless Pattern Recognition completed in 2001. Currently, he is an Associate Professor at the School of Applied Mathe-matics and Computer Science, Tula State University (TSU), and is a Leading Researcher at the Laboratory of Cognitive Technologies and Simulating Systems, TSU. His research interests include data mining, pattern recog-nition, machine learning, signal and image analysis, visual representation of multidimensional data, and statisti-cal methods for decision making.
Prof. Seredin has served on the program committee of many conferences, including CloudCom, AIST, Graphi-Con, VISAPP, PSBB, PRIB, and MaDaIn. He is also a member of the reviewer board for several journals, such as Sensors, Computer Optics, SN Computer Science Journal, IEEE Signal Processing Letters, and Applied Science. He has been the supervisor of several research projects funded by the grants from the Russian Science Founda-tion and the Russian Fund for Basic Research, and international grants. He has worked as a visiting researcher at Rutgers University and National Taipei University of Technology. Prof. Seredin has authored more than 100 sci-entific papers in refereed journals and conference proceedings on machine learning, pattern recognition, and computer vision. He is a member of the International Association for Pattern Recognition (IAPR).

Daniil Viktorovich Liakhov is a student of Tula State University, specialty of informational systems and technologies and assistant-researcher at the Laboratory of Cognitive Technologies and Simulating Systems of Tu-la State University. Now he is involved as researcher to the grant project of Russian Science Foundation.

Olesia Aleksandrovna Kushnir received the Ph.D. Degree in Engineering and Technologies from Tula State Uni-versity. Ph.D. Thesis: “Methods and Algorithms for Binary Images Matching Based on Skeletonization” (2018). Now she is Assistant Professor at the Institute of Applied Mathematics and Computer Science, Tula State University, and Senior Researcher at Laboratory of Cognitive Technologies and Simulating Systems, Tula State University. Her scien-tific interests are signal and image analysis, shape analysis, data mining, pattern recogni-tion, machine learning. Olesia Kushnir was principal investigator of a grant of the Russian Fund for Basic Re-search, and takes part in grants of other researchers. She worked as visiting scientist at Institute of Computer Vi-sion and applied Computer Sciences (IBaI), Leipzig, Germany, and National Taipei University of Technology. She was a student in International Computer Vision Summer School (ICVSS), Sicily, Italy. She has published more than 40 scientific papers in refereed journals, hand-books, and conference proceedings in the areas of com-puter vision, machine learning, pattern recognition.



Publications about central symmetry

  1. Seredin, O., Liakhov, D., Kushnir, O., & Lomov, N. (2022). Jaccard Index-Based Detection of Order 2 Rota-tional Quasi-Symmetry Focus for Binary Images. Pattern Recognition and Image Analysis, 32(3), 672-681.
  2. Lomov, N.; Seredin, O.; Kushnir, O. and Liakhov, D. (2023). Search for Rotational Symmetry of Binary Imag-es via Radon Transform and Fourier Analysis. In Pro-ceedings of the 18th International Joint Conference on Computer Vision, Imaging and Computer Graphics The-ory and Applications - Volume 4: VISAPP, p. 280-289.D. Dimitrov, C. Knauer, K. Kriegel, G. Rote. Bounds on the quality of the PCA bounding boxes. Computational Geometry, Vol. 42 (4), pp. 772-789, 2009. DOI: 10.1016/j.comgeo.2008.02.007.
  3. Lomov NA, Seredin OS, Liakhov DV, Kushnir OA. Constraints for Jaccard Index-Based Rotational Symmetry Focus Position in Binary Images. Computer Optics 20XX (to be published)

Acknowledgments

This study is supported by the Russian Science Foundation, grant No. 22-21-00575, https://rscf.ru/project/22-21-00575/