为了达到更好的去噪效果,对现有空域中基于偏微分方程去噪模型的优缺点进行分析,并且在L ^p范数自适应去噪模型的基础上,提出基于全变差的双保真项去噪模型。此模型引入了自适应参数作为保真项的权重,使得模型能够根据不同的区域控制保真的强度,增加自适应去噪能力。为了克服平滑区域的“阶梯”效应,在模型中加入自适应的梯度保真项,使去噪后的图像与原图像具有相似的梯度结构。实验结果显示,无论是在峰值信噪比、结构相似性还是在视觉效果方面,本文模型都具有更好的效果。

In order to achieve a better denoising effect, we analyze the advantages and disadvantages of the existing denoising model based on the partial differential equations in spatial domain, and propose a double-fidelity total variation denoising model on the basis of L p adaptive denoising model. We introduce the adaptive parameter as the weight of the fidelity item to control the fidelity intensities of different regions and improve the adaptive denoising ability. To overcome the 'ladder' effect in smooth areas, an adaptive gradient-fidelity item is added so that the denoising images have the similar gradient structure to the original images. The experimental results show that the proposed model has better effects in the peak signal to noise ratio, structural similarity, and visual effects.