Concrete Computerized Tomography Based on Preconditioned Conjugate Gradient Method

This paper presents a Preconditioned Conjugate Gradient(PCG) method from a view of probability for concrete image reconstruction.This method presents a class of conjugate gradient methods with a new conjugacy condition which is proved under suitable conditions,and combines with a general Conjugate Gradient(CG) method,which lead to PCG method.Computer simulation and concrete model of ultrasonic computerized tomography show that PCG method is more effective to improve the accuracy of computation and the quality of image reconstruction on concrete than the conjugate gradient method.