Topological derivative improved partial differential equation for infrared spectral data denoising

Shuowen Yang; Hanlin Qin; Qingjie Zeng; Jingguo Zong; Huixin Zhou; Zhe Zhang

doi:10.1117/12.2285703

24 October 2017 Topological derivative improved partial differential equation for infrared spectral data denoising

Shuowen Yang, Hanlin Qin, Qingjie Zeng, Jingguo Zong, Huixin Zhou, Zhe Zhang

Proceedings Volume 10462, AOPC 2017: Optical Sensing and Imaging Technology and Applications; 1046252 (2017) https://doi.org/10.1117/12.2285703
Event: Applied Optics and Photonics China (AOPC2017), 2017, Beijing, China

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.

Citation Download Citation

Shuowen Yang, Hanlin Qin, Qingjie Zeng, Jingguo Zong, Huixin Zhou, and Zhe Zhang "Topological derivative improved partial differential equation for infrared spectral data denoising ", Proc. SPIE 10462, AOPC 2017: Optical Sensing and Imaging Technology and Applications, 1046252 (24 October 2017); https://doi.org/10.1117/12.2285703

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