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电容层析成像图像重建的不适定性及其改进
The Ill_posed Characteristics and its Improvement for Electrical Capacitance Tomographic Image Reconstruction
【摘要】 电容层析成像图像重建是一个不适定的反问题求解过程,具有初值敏感性,难以重建其稳定的管截面图像。该文通过奇异值分解分析了成像系统产生不适定性的原因,提出了一种光滑性约束下的最小二乘图像重建算法,有效克服了图像重建过程中的不适定性,获得了稳定的管截面图像。
【Abstract】 Electrical capacitance tomographic image reconstruction is an ill_posed inverse problem and it is sensitive to the initial conditions.So it is difficult to reconstruct stable cross -section images.By means of the decomposition of singular value,the ill-posed reason of the imaging system is analyzed.The least square image reconstruction algorithm based on smoothing constraint is presented so as to overcome the ill-posed problem of image reconstruction,so that stable cross-sectional images can be reconstructed.
【关键词】 电容层析成像;
图像重建;
不适定性;
【Key words】 Capacitance tomography; Image reconstruction; ill-posed characteristic;
【Key words】 Capacitance tomography; Image reconstruction; ill-posed characteristic;
【基金】 国家自然科学基金重大项目(编号:59995460-5);大连大学博士启动基金资助
- 【文献出处】 计算机工程与应用 ,Computer Engineering and Applications , 编辑部邮箱 ,2002年15期
- 【分类号】TP391.41
- 【被引频次】6
- 【下载频次】69