基于迭代Tikhonov正则化的电容层析成像图像重建  

Image Reconstruction Algorithm Based on Iterated Tikhonov Regularization for Electrical Capacitance Tomography

作　　者：陈德运[1] 李乐天[1] 胡海涛[1] 

机构地区：[1]哈尔滨理工大学计算机科学与技术学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2009年第2期1-3,共3页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金(60572153);国家教育部重点科技项目(204043);黑龙江省重点科技攻关项目(GC05A510);黑龙江省自然科学基金(F200609);哈尔滨市重点科技攻关项目(2005AA1CG035)

摘　　要：电容层析成像图像重建是一个典型的病态问题,其图像重建是一个非线性的求解过程,Tikhonov正则化方法是处理病态问题的有效方法之一,由于标准Tikhonov泛函的过度光滑,导致重建图像的细节信息丢失,重建的图像质量并非理想.以标准的Tikhonov算法为基础,给出了一种新的迭代算子,利用该算子可以使重建的图像细节进行一定的修正,通过仿真证明其在速度和图像重建准确度上得到了提高.Image reconstruction is a typical pathological problem in the Electrical Capacitance Tomography （ECT） ： it is a non-linear process. Tikhonov regularization is one of the effective ways to solve the problem. However, the reconstructed image is not as ideal as expected, because the over-smoothing phenomenon of the standard Tikhonov functional leads to some loss of information details in the constructed images. In this paper, based on the standard Tikhonov algorithm, a new iterated operator is proposed. Through this operator, the details of the reconstructed image would be complemented. Simulations are conducted to prove that the new operator enhances the speed and accuracy of Tikhonon algorithm in image reconstruction.

关 键 词：电容层析成像 两相流 图像重建 迭代Tikhonov正则化 

分 类 号：TP319[自动化与计算机技术—计算机软件与理论]