Deconvolving Poissonian images by a novel hybrid variational model

作者：Chen, Dai Qiang^*; Cheng, Li Zhi

来源：Journal of Visual Communication and Image Representation, 2011, 22(7): 643-652.

DOI：10.1016/j.jvcir.2011.07.007

• Total variation
• Frame coefficients
• Split Bregman method
• Douglas-Rachford splitting
• Poisson noise
• Maximum a posteriori estimator
• Hybrid model
• Image deconvolution

In this paper, we propose a novel hybrid variational model for deconvolving Poissonian images by describing the original image as two parts - a cartoon part characterized by total variation, and a detailed part which has sparse representation over the wavelet basis. Fast and efficient iterative algorithms based on the split Bregman method are then employed. Under some conditions we prove the convergence properties of the iterative algorithms. Experiments demonstrate that the proposed hybrid model efficiently removes the noise and avoids the staircase effect simultaneously, which leads to a visually pleasant deconvolution result.

• 出版日期2011-10
• 单位中国人民解放军国防科学技术大学