Abstract: The L1 norm of gradient is used as the regularization term in the Total Variation (TV) model which can preserve the edges of the image well. However, it has the staircasing effect in the relatively smooth regions. Using the variable exponent function as the regularization term, the modified model can not only preserve the edges of image as well as the TV model but also decrease the staircasing effect obviously. Simultaneously, the L1 norm of 〖WTHX〗u-〖WTHX〗f was regarded as the fidelity term of the model, which can enhance the ability of image denoising.

Key words: image denoising, total variation(TV) model, variable exponent functional, regularization term, L1 norm

摘要： 全变分(TV)模型采用了梯度的1范数作为正则化约束, 它能够沿着梯度方向较好地保护图像的边缘信息，但在图像较均匀区域，容易产生“阶梯”效应。利用梯度的可变指数函数作为正则化项，提出TV模型的改进模型, 该模型既保持TV模型保护图像边缘信息的优点，又可以明显地减少非边界区域“阶梯”效应的产生,同时把〖WTHX〗u-〖WTHX〗f的1范数作为数据保真项增强了模型修复图像破损部分的能力

关键词: 图像去噪, TV模型, 可变指数函数, 正则化, L1范数