CHEN De-yun, LI Le-tian, HU Hai-tao. Image Reconstruction Algorithm Based on Iterated Tikhonov Regularization for Electrical Capacitance Tomography[J]. 2009, 14(2): 1-3.
CHEN De-yun, LI Le-tian, HU Hai-tao. Image Reconstruction Algorithm Based on Iterated Tikhonov Regularization for Electrical Capacitance Tomography[J]. 2009, 14(2): 1-3.DOI:
基于迭代Tikhonov正则化的电容层析成像图像重建
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.
Abstract
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 ope...