Box relaxation schemes in staggered discretizations for the dual formulation of total variation minimization.
IEEE transactions on image processing : a publication of the IEEE Signal Processing Society（2013）
摘要
In this paper, we propose some new box relaxation numerical schemes on staggered grids to solve the stationary system of partial differential equations arising from the dual minimization problem associated with the total variation operator. We present in detail the numerical schemes for the scalar case and its generalization to multichannel (vectorial) images. Then, we discuss their implementation in digital image denoising. The results outperform the resolution of the dual equation based on the gradient descent approach and pave the way for more advanced numerical strategies.
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关键词
stationary system,staggered grids,digital image denoising,total variation minimization,total variation (tv),dual formulation,dual minimization problem,box relaxation numerical scheme,image denoising,partial differential equations (pdes),variational methods,total variation operator,image procing,dual equation,partial differential equations,multichannel image,staggered discretization,gradient descent
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