In order to solve general

L

1 projection problems

this paper proposes Alternating Split Bregman

L

1 projection algorithm.The convergence of the iteration scheme is analyzed and proved.The algorithm can solve a very broad class of

L

1-projection problems.Total variation projection as an example

using the proposed algorithm

we can get faster convergence rate and better result of image restoration.Numerical results show that our algorithm is better than state of the art TV projection method (Dual projection algorithm) to solve denoising

deconvolution and inpainting problems.