Title :
Stabilizing the iterative solution to ultrasonic transmission tomography
Author :
Song, Lin-ping ; Zhang, Shu-yi
Author_Institution :
Inst. of Acoust., Nanjing Univ., China
fDate :
7/1/1998 12:00:00 AM
Abstract :
A stable iterative reconstruction algorithm is presented for ultrasonic tomography through the uses of weighting matrices, damping factor, and the features of conjugate gradient method. The weighting matrices are chosen according to Berryman´s analysis of nonlinear tomography. An implicit conjugate gradient-type iterative formula is used to solve a weighted least-squares problem. In the iterative process, a damping factor of linear increase rather than a constant is used to filter out the influences of smaller singular values´ components. The results of simulated data show that our method can efficiently stabilize the iteration, and provide a robust solution.
Keywords :
acoustic signal processing; acoustic tomography; conjugate gradient methods; image reconstruction; iterative methods; least squares approximations; numerical stability; singular value decomposition; ultrasonic imaging; Berryman analysis; conjugate gradient method; damping factor; iterative reconstruction algorithm; nonlinear tomography; singular value; stability; ultrasonic transmission tomography; weighted least squares; weighting matrix; Damping; Gradient methods; Iterative methods; Nonlinear filters; Reconstruction algorithms; Robustness; Tomography;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
