期刊文献+

基于正则化的LANDWEBER电容层析成像图像重建算法研究 被引量:2

New landweber method based tikhonov for image reconstruction for ECT
下载PDF
导出
摘要 在分析电容成像基本原理和图像重建算法基础上,针对Landweber迭代算法收敛速度慢,本文提出一种基于Tikhonov正则化算法的Landweber迭代法。算法采用Tikhonov正则化算法代替LBP算法作为Landweber迭代法的起始步,并推导出相应的优化迭代步长。经仿真验证,该算法在图像重建收敛速度和抗干扰能力上要高于Landweber迭代法。 On the basis of electrical capacitance tomography principle and the image reconstruction algorithm, a new Landweber iteration algorithm based on Tikhonov regularization is presented. LBP algorithm is replaced by Tikhonov regularization algorithm as the first step of the new method, and an optimized step length is deduced. Experimental simulation results indicate that the algorithm can provide high performance in image convergence speed and antijamming.
出处 《电子测量技术》 2007年第10期61-63,72,共4页 Electronic Measurement Technology
关键词 电容层析成像 图像重建 正则化 迭代算法 ECT image reconstruction regularization iteration algorithm
  • 相关文献

参考文献7

二级参考文献62

  • 1王化祥,朱学明,张立峰.用于电容层析成像技术的共轭梯度算法[J].天津大学学报(自然科学与工程技术版),2005,38(1):1-4. 被引量:38
  • 2张惠良,荣冈.电容层析成像中图像重建算法评述[J].仪器仪表学报,2005,26(3):325-330. 被引量:8
  • 3张立峰,王化祥.多相流电容层析成像系统的仿真研究[J].电力科学与工程,2005,21(1):5-7. 被引量:26
  • 4董向元,刘石,阎润生,李惊涛,蔡斌,王海刚.电容层析成像中通用迭代法的研究[J].仪器仪表学报,2006,27(1):23-25. 被引量:12
  • 5[德]Frideerkuhnert 陈杰译.广义逆矩阵与正则化方法[M].北京:高等教育出版社,1984..
  • 6[6]Yan H,Liu L.J,Xu H,Shao F Q.Image reconstruction in electrical capacitance tomography using multiple linear regression and regularization[J].Meas.Sci.Technol.,2001,(12):575-581.
  • 7[7]Zhao J h,Fu W l,Li T S,Wang shi.An image reconstruction algorithm based on revised regularization method for electrical capacitance tomography.Meas.Sci.Technol.,2002,(13):638-640.
  • 8[9]Process Tomography LTD.An iterative method for improving ECT images[J].PTL application note AN4,1999,(2).
  • 9[12]Liu S,Fu L,Yang W.Q.Optimization of an iterative image reconstruction algorithm for electrical capacitance tomography[J].Meas.Sci.Technol.,1999(10):37-39.
  • 10[15]Liu S,Fu L,Yang WQ,et al.Prior-online iteration for image reconstruction with electrical capacitance tomography[J].IEEE Proc.Sci.Meas.Technol.2004,151(3):195-200.

共引文献108

同被引文献37

  • 1BI Chuanxing CHEN Xinzhao ZHOU Rong CHEN Jian.Landweber iterative regularization for nearfield acoustic holography[J].Chinese Science Bulletin,2006,51(11):1374-1380. 被引量:3
  • 2王化祥,唐磊.基于TV正则化算法的电容层析成像自适应剖分方法[J].电子测量技术,2006,29(5):8-11. 被引量:8
  • 3J.Xu,B.Han,L.Li.Frozen Landweber Iteration for Nonlinear Ill-Posed Problems[J].Acta Mathematicae Applicatae Sinica,2007,23(2):329-336. 被引量:8
  • 4LANDWEBER L. An iteration formula for fredholm integral equaions of the first kind [ J ]. American Journal Mathematics, 1951,73 (3) :615-624.
  • 5TAUTENHAHN U. On the asymptotieal regularization method for non- linear ill-posed problems [ J ]. Inverse Problems, 1994, 10 ( 6 ) : 1405-1418.
  • 6HANKE M, NEUBAUER A,SCHERZER O. A convergence analysis of the Landweber iteration for nonlinear ill-posed problems [ J ]. Nume- rische Mathematik,1995,72( 1 ) :21-37.
  • 7SCHERZER O. Convergence criteria of iterative methods based on Landweber iteration for solving nonlinear problems [ J]. Journal of Mathematical Analysis and Applications, 1995,194 (3) :911- 933.
  • 8HETTLICH F. The Landweber iteration applied to inverse conductive scattering problems[J]. Inverse Problems,1998,14(4) :931-947.
  • 9NEUBAUER A. On Landweber iteration for nonlinear ill-posed prob- lems in Hilbert scales[ J ]. Numedsche Mathematik,2000,85 (2) : 309- 328.
  • 10JIN Qi-nian,AMATO U. A discrete scheme of landweber iteration for solving nonlinear Ill-posed problems [ J ]. Journal of Mathematical Anatysis and Applications ,2001,253 ( 1 ) : 187-203.

引证文献2

二级引证文献6

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部