传感技术学报2011，Vol.27Issue(8)：1168-1171,4.DOI:10.3969/j.issn.1004-1699.2011.08.017
基于QR分解的对称共轭梯度法成像算法
Symmetrical Conjugate Gradient Algorithm Based on QR Decomposition for Image Reconstruction
摘要
Abstract
Electrical Resistance Tomography (ERT) is a popular process tomography technique and has been widely used in many industrial areas. However, the inverse problem of the ERT system is ill-conditioned. Therefore, a symmetric conjugate gradient algorithm based on QR decomposition(RQSCG) was proposed. It is theoretically proven that this algorithm can converge only by one step. In addition,simulation results also show that this algorithm gives a better imaging quality and reduces computational time obviously,compared with conjugate gradient(CG)algorithm.关键词
电阻层析成像/QR分解/共轭梯度法/对称共轭梯度法Key words
electrical resistance tomography/ QR decomposition/ conjugate gradient algorithm/ symmetric conjugate gradient algorithm分类
电子信息工程引用本文复制引用
马世文,王化祥..基于QR分解的对称共轭梯度法成像算法[J].传感技术学报,2011,27(8):1168-1171,4.基金项目
国家自然科学基金重大国际合作项目“基于ECT/ERT双模电学成像技术多相管流测量研究”(60820106002) （60820106002）
国家自然科学重点基金项目“多模态过程成像关键技术研究”(60532020) （60532020）
