Title :
Image restoration with precondition conjugate gradient method
Author :
Bin Zhang ; Ling Meng
Author_Institution :
Sch. of Sci., Commun. Univ. of China, Beijing, China
Abstract :
Image restoration can be attributed to solving a linear systems and conjugate gradient method is an effective iteration algorithm for solving various linear systems. However the convergence rate of CGM is determined by condition number of coefficient matrix. The level1 and level2 preconditioner were used to reduce the condition number of coefficient matrix and to accelerate the convergence rate. Simulation experiment show that with same iteration times the PCGM reached better results than other methods.
Keywords :
conjugate gradient methods; convergence of numerical methods; image restoration; matrix algebra; CGM convergence rate; PCGM; coefficient matrix; conjugate gradient method; image restoration; iteration algorithm; iteration times; level1 preconditioner; level2 preconditioner; linear systems; Approximation methods; Arrays; Convergence; Educational institutions; Gradient methods; Image restoration; Linear systems; Conjugate gredient method; Image restoration; Preconditioned conjugate gradient method; Preconditioned matrix; block Toeplitz matrix;
Conference_Titel :
Image and Signal Processing (CISP), 2014 7th International Congress on
Conference_Location :
Dalian
DOI :
10.1109/CISP.2014.7003782