### 火焰温度场测量中的图像重建算法融合技术

Fusion technique of image reconstruction algorithm in flame temperature field measurement

Abstract
The research of image reconstruction algorithm under sparse angle is a key problem in the application of Emission Spectral Tomography in field distribution measurement. Algebraic Reconstruction Technique algorithm, Simultaneous Iterative Reconstruction Technique algorithm and Simultaneous Algebraic Reconstruction Technique algorithm are widely used iterative image reconstruction algorithms. Taking candle flame as reconstruction objects, the image quality evaluation indexes such as Mean Square Error, Peak Signal Noise Ratio, structural similarity and image Average Gradient are used to analyze and evaluate the image reconstruction effects of different algorithms, and a multi index optimization algorithm fusion technology is developed to make full use of the restoration and reconstruction advantages of the three algorithms to realize the partition reconstruction of flame three-dimensional temperature field, and the reconstruction temperature error is within 5%. The experimental results show that the developed algorithm fusion technology is suitable for the high-quality reconstruction of flame three-dimensional temperature field.

[1] 刘庆民, 王龙山, 陈向伟, 等. 电极圆锥内螺纹的无损检测［J］. 光学技术,2005,(02):309-311+314.

[2] 李辉. 发射光谱层析火焰温度场三维重建研究［D］. 南昌:南昌航空大学,2007.

[3] Tang X, Hsieh J, Nilsen R A, et al. A three-dimensional-weighted cone beam filtered backprojection (CB-FBP) algorithm for image reconstruction in volumetric CT-helical scanning［J］. Physics in Medicine & Biology,2006,51(4):855.

[4] Zhu L, StarLack J. A practical reconstruction algorithm for CT noise variance maps using FBP reconstruction［C］∥Medical Imaging 2007.San Diego,USA:SPIE,2007:739-746.

[5] Tang Xiangyang, Hsieh J. A filtered backprojection algorithm for cone beam reconstruction using rotational filtering under helical source trajectory［J］. Medical Physics,2004,31(11):2949-2960.

[6] Schindera S T, Odedra D, Raza S A, et al. Iterative reconstruction algorithm for CT: can radiation dose be decreased while low-contrast detectability is preserved［J］. Radiology,2013,269(2):511-518.

[7] Zhang S, Shen G, An L, et al. Online monitoring of the two-dimensional temperature field in a boiler furnace based on acoustic computed tomography［J］. Applied Thermal Engineering,2015,75:958-966.

[8] Aprilliyani R, Prabowo R G. Comparison analysis between SART and ART algorithm for microwave imaging［C］∥2017 Progress in Electromagnetics Research Symposium-Fall(PIERS-FALL).Singapore,Singapore:IEEE,2017:1674-1678.

[9] Hossain M M, Lu G, Sun D, et al. Three-dimensional reconstruction of flame temperature and emissivity distribution using optical tomographic and two-colour pyrometric techniques［J］. Measurement Science and Technology,2013,24(7):074010.

[10] Bao P, Zhou J, Zhang Y. Few-view CT reconstruction with group-sparsity regularization［J］. International Journal for Numerical Methods in Biomedical Engineering,2018,34(9):e3101.

[11] 蔡桂英, 万雄, 何兴道. 自适应发射光谱体层析技术重建三维等离子体场［J］. 光学技术,2005,(03):364-368+372.

[12] Yu T, Bauer F J, Huber F J, et al. 4D temperature measurements using tomographic two-color pyrometry［J］. Optics Express,2021,29(4):5304-5315.

[13] Liu Xiaowei, Zhu Haijiang, Liu Xingwang, et al. An iterative reconstruction algorithm for the 3D temperature field of the high-temperature fireball in a gun explosion field based on weighted multi-criteria［J］. Journal of Beijing University of Chemical Technology,2021,48(3):65.

[14] 张顺利, 张定华, 熬波, 等. 不完全投影数据图像重建的ART算法研究［J］. 计算机工程与应用,2007,43(10):8-10.

[15] 李毅, 吴琨. 基于有限角图像重建的两种迭代算法研究［J］. 电子测试,2011,(04):52-55.

[16] 杨利普, 徐志萍, 李德庆, 等. SIRT法层析成像在某核电站岩溶区的应用［J］. CT理论与应用研究,2014,23(02):219-226.

[17] 冀东江. 基于先验信息的图像重建和伪影矫正算法研究［D］. 北京:北京交通大学,2018.

[18] 宋波. ERT图像重建算法及图像质量评估［D］. 西安:西安科技大学,2020.

[19] Karimi M, Samavi S, Karimi N, et al. Pyramidal modeling of geometric distortions for retargeted image quality evaluation［J］. Multimedia Tools and Applications,2018,77(11):13799-13820.

[20] Sara U, Akter M, Uddin M S. Image quality assessment through FSIM, SSIM, MSE and PSNR-A comparative study［J］. Journal of Computer and Communications,2019,7(3):8-18.

[21] 邓准. 基于发射光谱层析方法的火焰光强场三维重建研究［D］. 西安:西安电子科技大学,2019.

[22] 张小利, 李雄飞, 李军. 融合图像质量评价指标的相关性分析及性能评估［J］. 自动化学报,2014,40(02):306-315.

[23] 万雄. 发射光谱层析算法研究及其三维流场重建应用［D］. 南京:南京航空航天大学,2005.