光学学报, 2019, 39 (7): 0707001, 网络出版: 2019-07-16
开路傅里叶变换红外光谱层析重建算法仿真 下载: 1086次
Simulation of Tomographic Reconstruction Algorithms for Open-Path Fourier Transform Infrared Spectroscopy
傅里叶光学 开路傅里叶变换红外光谱 层析成像 代数迭代算法 最大似然期望最大化算法 Fourier optics open-path Fourier transform infrared spectroscopy tomography algebraic iterative algorithm maximum-likelihood expectation-maximization
摘要
采用代数迭代(ART)算法和最大似然期望最大化(MLEM)算法,利用开路傅里叶变换红外(OP-FTIR)光谱仪的测量结果,通过仿真模拟了高斯空间分布模型下的气体二维浓度场重建,并利用重建评价指标——逼近度和相关系数,分析了这两种重建算法的重建精度和抗噪性能。结果表明:在单峰气体浓度场中,ART与MLEM算法重建结果的逼近度分别为0.177和0.044;在双峰气体浓度场中,ART与MLEM算法重建结果的逼近度分别为0.263和0.069;MLEM算法更适用于重建复杂的气体浓度场。在不同噪声水平下,ART的抗噪性能优于MLEM算法,MLEM算法对噪声更敏感。
Abstract
Based on spectra measured by the open-path Fourier transform infrared (OP-FTIR) spectroscopy technology, the two-dimensional concentration distribution of the gas in a Gaussian spatial distribution model was reconstructed using the algebraic reconstruction technique (ART) and the maximum-likelihood expectation-maximization (MLEM) algorithms. Two evaluation indexes, the nearness and the correlation coefficient, were used to analyze the reconstructive accuracy and anti-noise performance of the reconstruction algorithms. In the single-peak concentration field of the gas, the nearness of the ART and MLEM results were 0.177 and 0.044, respectively, while they were 0.263 and 0.069, respectively, in the double-peak concentration field. The results therefore indicate that MLEM is more suitable for complex concentration distributions. Conversely, at different noise levels, the anti-noise performance of ART is better than that of MLEM, which is more sensitive to noise.
邓矗岭, 童晶晶, 高闽光, 李相贤, 李妍, 韩昕, 刘文清. 开路傅里叶变换红外光谱层析重建算法仿真[J]. 光学学报, 2019, 39(7): 0707001. Chuling Deng, Jingjing Tong, Minguang Gao, Xiangxian Li, Yan Li, Xin Han, Wenqing Liu. Simulation of Tomographic Reconstruction Algorithms for Open-Path Fourier Transform Infrared Spectroscopy[J]. Acta Optica Sinica, 2019, 39(7): 0707001.