| 一种分解型Quasi-Newton电容层析成像图像重建算法 |
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| 引用本文： | 林甲楠,陈德运,姚玉梅,宋蕾.一种分解型Quasi-Newton电容层析成像图像重建算法[J].哈尔滨理工大学学报,2014,19(6):44-47. |
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| 作者姓名： | 林甲楠 陈德运 姚玉梅 宋蕾 |
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| 作者单位： | 哈尔滨理工大学计算机科学与技术学院,黑龙江哈尔滨,150080 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金，黑龙江省自然科学基金，黑龙江省教育厅科学技术研究项目 |
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| 摘 要： | 针对电容层析成像系统中的"软场"效应和病态问题,在分析电容层析成像和QuasiNewton算法原理的基础上,基于非线性最小二乘的成像原理,提出了一种新的分解型Quasi-Newton电容层析成像算法,推导出了求解ECT反问题的分解型拟牛顿图像重建算法放的计算步骤,同时利用信赖域公式对目标函数的Hessian矩阵进行校正.仿真实验表明,基于分解型拟牛顿方法具有可行性,对于基本流型该算法与LBP算法相比,具有成像质量高和边界均匀稳定的特点,为ECT图像重建的研究提供了一个新的思路.
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| 关 键 词： | 电容层析成像 图像重建算法 迭代算法 分解拟牛顿 |
A Novel Factorized Quasi-Newton Image Reconstruction Algorithm for Electrical Capacitance Tomography |
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| LIN Jia-nan,CHEN De-yun,YAO Yu-mei,SONG Lei.A Novel Factorized Quasi-Newton Image Reconstruction Algorithm for Electrical Capacitance Tomography[J].Journal of Harbin University of Science and Technology,2014,19(6):44-47. |
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| Authors: | LIN Jia-nan CHEN De-yun YAO Yu-mei SONG Lei |
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| Affiliation: | ( School of Computer Science and Technology, Harbin University of Science and Technology, Harbin 150080,China) |
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| Abstract: | To solve the ＂soft field＂ nature and the ill-posed problem in electrical capacitance tomography tech- nology, the paper proposes a new capacitance tomography algorithm based on a class of new factorized quasi-newton methods. The correcting formula of Hessian for the objective function is given. In the simulation, the feasibility of using this new algorithm for ECT problems is also discussed. And the result shows that the new algorithm has better image quality and stable boundary than the LBP algorithm, which provides a new way of thinking for ECT image re- construction algorithm. |
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| Keywords: | electrical capacitance tomography image reconstruction algorithm Iterative algorithm factorized quasi-Newton |
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