一个图像处理模型的差分格式稳定性分析

Stability Analysis of Difference Scheme for an Image Processing Model

对一个用于图像去噪、量化的反应扩散模型建立了二层差分格式,并证明了差分格式具有L^∞稳定性的充分条件.最后,通过计算机图像处理实验对充分条件进行了验证.

In this paper,a difference scheme is presented for the reaction-diffusion model appearing in image denoising and quantization.Studies give the condition in which L^∞stability of the difference scheme is established.The condition is demonstrated by computer experiments.