一个经典图像去噪模型的新证明和新算法
首发时间:2019-04-15
摘要:TV模型作为经典的图像去噪模型,一直以来很多学者均从算法和模型对其进行研究。受TV模型的启发,本文给出了模型解的存在唯一性、算法稳定性、算法收敛性的理论新证明,提出一种半隐式有限差分方案来求解该偏微分方程并给出新算法。通过数值实验结果表明,本文的新算法在去噪图像上有较好的感官效果,从数据的对比结果来看,本文的新算法是有效的并且相对原算法有改进效果。
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A new proof and algorithm for a classical image denoising model
Abstract:As a classical image denoising model, TV model has been studied by many scholars from algorithms and models.Inspired by the TV model, this paper gives a new theoretical proof of the existence and uniqueness of the model solution, algorithm stability and algorithm convergence, and proposes a semi-implicit finite difference scheme to solve the partial differential equation and gives a new algorithm.Numerical experiment results show that the new algorithm in this paper has a better sensory effect on the image denoising. From the comparison results of data, the new algorithm in this paper is effective and has an improved effect compared with the original algorithm.
Keywords: Image denoising TV variational model Semi-implicit finite difference scheme
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