几种常见的四阶偏微分去噪模型比较

摘要

This paper considers the principle of three denoising models, which are the LLT model, the P-M model and a new fourth-order PDE model. These models can suppress noise and do not produce the staircase effect, and the third model is better than other models. Then one can analyze the effects of three models by numerical experiments, and get a result that these models can not only suppress noise, but also protect image details. However, analyzing these filters'pros and cons, one can find the third model is better to removal noise than other models.%LLT模型、YK模型和PDE模型都能较好地去除噪声并且不会产生阶梯效应，但第三种模型相较于前面两种模型而言效果更明显。经过数值实验来分析验证这三种模型的去噪效果，得出这些模型在去噪的同时都能较好地保护图像细节，但比较多方面的综合因素，认为第三种模型的去噪效果更佳。