International Society for Industrial Process Tomography

Development on Image Reconstruction Algorithm for Ultrasonic Tomography in a rectangular area

Li Yanqiu Liu Shi

Key Laboratory of Condition Monitoring and Control for Power Plant Equipment of Ministry of Education

North China Electric Power University Changping District, Beijing 102206, China

ABSTRACT

One of the key issues in ultrasonic tomography is the calculation of sensitivity and image reconstruction based on the sensitivity. A method is developed to calculate the sensitivity of ultrasonic tomography in rectangular area in this paper. MATLAB programming system is used to program the ultrasonic tomography to calculate the sensitivity in rectangular area. On this basis, numerical modeling calculation of different substances distribution in a rectangular area is made of by using LBP algorithm, the standard Tikhonov regularization method and the Landweber iteration method respectively. Reconstruction simulation experiments of changing the quantity of pixel is conducted. The results show that imaging results of Tikhonov regularization method and the Landweber iterative method are consistent with the original image for the overdetermined problem and superior to those reconstructed by LBP algorithm. The image quality of Tikhonov in the underdetermined problems is poor than that in overdetemined problem and still better than that in the Landweber and LBP algorithm. Compared by numerical simulation, Tikhonov regularization method in both overdetermined or underdetermined problems are better than Landweber iteration and LBP algorithm, and LBP algorithm is only suitable to qualitative analysis.

Keywords ultrasonic tomography; sensitivity; rectangular area; algorithm