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Topological derivative improved partial differential equation for infrared spectral data denoising
Author(s): Shuowen Yang; Hanlin Qin; Qingjie Zeng; Jingguo Zong; Huixin Zhou; Zhe Zhang
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Paper Abstract

To reduce the influence of noise in infrared spectral signal measurement, a topological derivative improved partial differential equation method for infrared spectral data denoising is proposed. As an indicator function, topological derivative through a minimization process to find the best position to introduce disturbance, where are spectral edge points, then select the most excellent diffusion coefficient, so the cost of the minimum functional value. Based on the idea of topological optimization, it makes the lowest topological derivative to be optimum one. Then the diffusion is applied by using partial differential equation. Several simulated infrared spectral sequences are utilized to verify the performance of the proposed method. The experiment results show that our method is better in denoising.

Paper Details

Date Published: 24 October 2017
PDF: 7 pages
Proc. SPIE 10462, AOPC 2017: Optical Sensing and Imaging Technology and Applications, 1046252 (24 October 2017); doi: 10.1117/12.2285703
Show Author Affiliations
Shuowen Yang, Xidian Univ. (China)
Hanlin Qin, Xidian Univ. (China)
Qingjie Zeng, Xidian Univ. (China)
Jingguo Zong, Xidian Univ. (China)
Huixin Zhou, Xidian Univ. (China)
Zhe Zhang, Xidian Univ. (China)


Published in SPIE Proceedings Vol. 10462:
AOPC 2017: Optical Sensing and Imaging Technology and Applications
Yadong Jiang; Haimei Gong; Weibiao Chen; Jin Li, Editor(s)

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