非线性扩散和变分模型在矢量图像去噪中的应用

分析了非线性扩散、基于整体变分方法的ROF模型以及矢量图像耦合技术的原理,比较了这些扩散、去噪模型的优缺点。根据矢量图像耦合思想将TV流运用到矢量图像扩散中,并参考ROF模型逼近项变分模型的优点,提出了基于非线性扩散、ROF模型和矢量图像耦合原理的改进TV流矢量图像耦合扩散模型,目地是在彩色图像中,去噪同时更好地保留图像轮廓、边缘等重要信息。实验对比分析了改进前后模型的去噪效果,并分析了改进模型下正、逆向扩散在彩色图像去噪中的作用。实验结果表明,改进的矢量图像耦合扩散模型能有效地保持彩色图像中的边缘信息,同时具有良好的去噪性能,且改进模型下,正、逆向扩散的性质在彩色图像去噪工作中仍能保持。

Color Image Denoising Based on Nonlinear Diffusion and TV Method

Both nonlinear diffusion and TV method based ROF model are analyzed in this paper,and a basic coupled method for color image is mentioned.In order to remove noise effectively and preserve edges and key details in color image,considering the information of each channel of color image and the advantages of denoising and edges preservation of TV flow and ROF model,a improved channel coupled diffusion model which based on TV flow is proposed,different effects among uncoupled diffusion model,channel coupled diffusion model and improved channel coupled diffusion model are analyzed,and different effects among forward diffusion,TV flow and backward diffusion based on the new model are also discussed.Experimental results show that,1)The improved channel coupled diffusion model is better preserving geometric information such as edges in addition to its effectiveness for image denoising.2)The properties of forward and backward diffusion based on the new model are not changed in color image denoising.