A New Image Reconstruction from Projections Algorithm

摘要

In this paper we propose a new iterative algorithm for image reconstruction from projections problem. The reconstruction problem is reformulated as a system of linear equations with a Toeplitz-block- Toeplitz coefficient matrix. The structure of the matrix enables us to use efficient methods for solving the system. We investigate the use of gradient methods benefiting from fast FFT-based matrix-vector multiplication for minimizing the quadratic form objective function. We present and compare simulation results for the algorithm with different methods for step size selection.