摘要： 针对经典的PM模型和YK模型中存在阶梯效应和孤立点等问题,提出一种组合算子模型。该模型对待处理的图像进行正则化,通过权函数将经典模型中的梯度和拉普拉斯算子进行组合,针对非线性扩散中出现的过度平滑现象,利用边缘调和算子对其进行修补。实验结果表明,该模型有效抑制了阶梯效应和孤立点现象,保留了图像的纹理细节特征,去噪效果明显。

关键词: 梯度, 阶梯效应, 拉普拉斯算子, 加权函数, 图像去噪

Abstract: Aiming at the staircase effect and isolated point in the classical models of PM model and YK model,the paper proposes a combinatorial operator model.Regularization is performed on the image to be processed.The gradient in the above-mentioned classical models is combined with Laplace operator according to certain weighting function.Then,in view of the phenomenon of excessive smoothing in nonlinear diffusion,this paper uses edge harmonic operator for modification.Experimental results show that this model not only effectively controls the staircase effect and isolated point,but retains the detailed texture features of the image quite well,and it has an obvious denoising effect.

Key words: gradient, staircase effect, Laplace operator, weighted function, image denoising

中图分类号: 

• TP391.41