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Total bounded variation-based Poissonian images recovery by split Bregman iteration. (English) Zbl 1252.94014
Summary: This paper presents a new total bounded variation regularization-based Poissonian images deconvolution scheme. Computationally, an extended split Bregman iteration is described to obtain the optimal solution recursively. Moreover, the rigorous convergence analysis of the proposed algorithm is also expatiated here. Compared with the computational speed and the recovered results of the total variation-based method, numerical simulations definitely demonstrate the competitive performance of the proposed strategy in Poissonian images restoration.
MSC:
94A08Image processing (compression, reconstruction, etc.)
65K10Optimization techniques (numerical methods)
65M32Inverse problems (IVP of PDE, numerical methods)