通过组合全变分极小泛函与一个二阶泛函得到了新的变分模型,用于图像恢复.相应的负梯度流是一个四阶偏微分方程.此组合模型兼有TV模型和二阶泛函的长处,能够在保持轮廓的同时避免光滑区域出现"块状"效应.数值实验用的是包含轮廓,平坦区域和光滑区域的图像,实验结果说明了此模型的优越性.
A new variational model for noise removal was proposed. It combines the total variational (TV) functional with a second order functional,and the corresponding negative gradient flow is a fourth order PDE. The proposed model combines the benefits of the total variation model and the second-order model, being able to preserve edges while at the same time avoid the staircase effect in smooth regions. Experimental results illustracted advantages of the proposed model.