QUANTUM RENYI ENTROPY WITH APPLICATION IN IMAGE PROCESSING

Authors

  • Wachirapong Jirakitpuwapat KMUTTFixed Point Research Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
  • Poom Kumam Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
  • Tanapat Deesuwan Department of Physics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
  • Sompong Dhompongsa KMUTTFixed Point Research Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
  • Printaporn Sanguansuttigul Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand

Keywords:

histogram, image segmentation, quantum Renyi entropy, Image primitive, quantum state, thresholding

Abstract

Thresholding is a basic method for image segmentation. First, we plot a histogram of image to a quantum state. The quantum state represents pixel intensities, and the density matrix represents their probability distribution. Secondly, we plot a histogram of the segment image to a quantum state. The quantum state represents pixel intensities of classes. Finally, we obtain the optimal thresholding by quantum Renyi entropy which explains physical interpretation in quantum language.

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Published

2020-12-31

How to Cite

Jirakitpuwapat, W., Kumam, P., Deesuwan, T., Dhompongsa, S., & Sanguansuttigul, P. (2020). QUANTUM RENYI ENTROPY WITH APPLICATION IN IMAGE PROCESSING. Bangmod International Journal of Mathematical and Computational Science, 6, 25–37. Retrieved from https://bangmodjmcs.com/index.php/bangmodmcs/article/view/37

Issue

Vol. 6 (2020): January-December

Section

Research Article

License

Copyright (c) 2020 Bangmod International Journal of Mathematical and Computational Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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