Browse > Article
http://dx.doi.org/10.6109/jicce.2021.19.4.276

Noise Reduction for Photon Counting Imaging Using Discrete Wavelet Transform  

Lee, Jaehoon (Department of Computer Science and Networks, Kyushu Institute of Technology)
Kurosaki, Masayuki (Department of Computer Science and Networks, Kyushu Institute of Technology)
Cho, Myungjin (School of ICT, Robotics, and Mechanical Engineering, IITC, Hankyong National University)
Lee, Min-Chul (Department of Computer Science and Networks, Kyushu Institute of Technology)
Abstract
In this paper, we propose an effective noise reduction method for photon counting imaging using a discrete wavelet transform. Conventional 2D photon counting imaging was used to visualize the object under dark conditions using statistical methods, such as the Poisson random process. The photons in the scene were estimated using a statistical method. However, photons which disturb the visualization and decrease the image quality may occur in the background where there is no object. Although median filters are used to reduce the noise, the noise in the scene remains. To remove the noise effectively, our proposed method uses the discrete wavelet transform, which removes the noise in the scene using a specific thresholding method that utilizes photon counting imaging characteristics. We conducted an optical experiment to demonstrate the denoising performance of the proposed method.
Keywords
Photon counting imaging; Statistical optics; Visualization; Image processing; Signal processing;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. W. Goodman, "Statistical Optics," John Wiley Sons, inc, 1985.
2 E. A. Watson and G. M. Morris, "Comparison of infrared up conversion methods for photon-limited imaging," J. Appl. Phys, vol. 67, no. 10, pp. 6075-6084, 1990. DOI: 10.1063/1.345167.   DOI
3 C. R. Park, S. H. Kang, and Y. Lee, "Median modified wiener filter for improving the image quality of gamma camera images," Nuclear Engineering and Technology, vol. 52, no. 10, pp. 2328-2333, 2020. DOI: 10.1016/j.net.2020.03.022.   DOI
4 M. Vishwanath, R. M. Owens, and M. J. Irwin, "VLSI architectures for the discrete wavelet transform," IEEE Transactions on Circuits and Systems, vol. 42, no. 5, pp. 305-316, 1995. DOI: 10.1109/82.386170.   DOI
5 J. L. Starck and F. Murtagh, "Image restoration with noise suppression using the wavelet transform," Astronomy and Astrophysics, vol. 288, no. 1, pp. 342-348, 1994.
6 M. Guillaume, P. Melon, P. Refregier, and A. Llebaria, "Maximum-likelihood estimation of an astronomical image from a sequence at low photon levels," J. Opt. Soc. Am. A, vol. 15, no. 11, pp. 2841-2848, 1998. DOI: 10.1364/JOSAA.15.002841.   DOI
7 E. D. Kolaczyk, "Bayesian multi-scale models for Poisson processes," J.Amer. Stat. Assoc, vol. 94, no. 447, pp. 920-933, 1999. DOI: 10.2307/2670007.   DOI
8 J. Jung, M. Cho, D. Dey, and B. Javidi, "Three-dimensional photon counting integral imaging using Bayesian estimation," Opt. Lett, vol. 35, no. 11, pp. 1825-1827, 2010. DOI: 10.1364/OL.35.001825.   DOI
9 M. Cho, "Three-dimensional color photon counting microscopy using Bayesian estimation with adaptive priori information," Chin. Opt. Lett, vol. 13, no. 7, pp. 070301, 2015. DOI: 10.3788/COL201513.070301.   DOI
10 P. Patidar, M. Gupta, S. Srivastava, and A. K. Nagawat, "Image de-noising by various filters for different noise," International Journal of Computer Applications, vol. 9, no. 4, pp. 45-50, 2010. DOI: 10.5120/1370-1846.   DOI
11 J. B. Weaver, Y. S. Xu, D. M. Healy Jr., and L. D. Cromwell, "Filtering noise from images with wavelet transforms," Magnetic Resonance in Medicine, vol. 21, no. 2, pp. 288-295, 1991. DOI: 10.1002/mrm.1910210213.   DOI
12 M. Frisch and H. Messer, "The use of the wavelet transform in the detection of an unknown transient signal," IEEE Transactions on Information Theory, vol. 38, no. 2, pp. 892-897, 1992. DOI: 10.1109/18.119748.   DOI
13 B. Qin, Z. J. Chong, S. H. Soh, T. Bandyopadhyay, M. H. Ang, E. Frazzoli, and D. Rus "A spatial-Temporal approach for moving object recognition with 2D LiDAR," Experimental Robotics, vol. 109, pp. 807-820, 2015. DOI: 10.1007/978-3-319-23778-7_53.   DOI
14 J. D. Villasenor, B. Belzer, and J. Liao, "Wavelet filter evaluation for image compression," IEEE Transactions on Image processing, vol. 4, no. 8, pp. 1053-1060, 1995. DOI: 10.1109/83.403412.   DOI
15 M. D. Srinivas and E. B. Davies, "Photon counting probabilities in quantum optics," Optica Acta: Int. J. Opt, vol. 28, no. 7, pp. 981-996, 1981. DOI: 10.1080/713820643.   DOI
16 G. M. Morris, "Scene matching using photon-limited images," J. Opt. Soc. Am. A, vol. 1, no. 5, pp. 482-488, 1984. DOI: 10.1364/JOSAA.1.000482.   DOI
17 G. A. Morton, "Photon counting," Appl. Optics, vol. 7, no. 1, pp. 1-10, 1968. DOI: 10.1364/AO.7.000001.   DOI
18 H. H Choi and J. C Jeong, "Despeckling images using a preprocessing filter and discrete wavelet transform-based noise reduction techniques," IEEE Sensors Journal, vol. 18, no. 8, pp. 3131-3139, 2018. DOI: 10.1109/JSEN.2018.2794550.   DOI
19 M. Hupfel, A. Y. Kobitski, W. Zhang, and G. U. Nienhaus, "Wavelet-based background and noise subtraction for fluorescence microscopy images," Biomedical Optics Express, vol. 12, no. 2, pp. 969-980, 2021. DOI: 10.1364/BOE.413181.   DOI
20 M. Holschneider, R. Kronland-Martinet, J. Morlet, and Ph. Tchamitchian, "A real-time algorithm for signal analysis with the help of the wavelet transform," Wavelets, pp. 286-297, 1990. DOI: 10.1007/978-3-642-75988-8_28.   DOI