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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:

94A08 | Image processing (compression, reconstruction, etc.) in information and communication theory |

65K10 | Numerical optimization and variational techniques |

65M32 | Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs |

### Keywords:

image restoration; total bounded variation; Poisson noise; split Bregman iteration; optimization problem### Software:

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\textit{X. Liu} and \textit{L. Huang}, Math. Methods Appl. Sci. 35, No. 5, 520--529 (2012; Zbl 1252.94014)

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### References:

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