Perona-Malik模型离散格式的改进  

An Improved Discretization Scheme of Perona-Malik Model

作　　者：赵凤群[1] 智佳[1] 戴芳[1] 李晓伟[1] 

机构地区：[1]西安理工大学理学院,西安710054

出　　处：《西安工业大学学报》2007年第1期83-87,共5页Journal of Xi’an Technological University

摘　　要：Perona和Malik给出的离散格式是原Perona-Malik模型的近似模型的离散形式.这个离散格式用差商代替梯度,并略去了原模型的一项,本文通过理论分析发现这些简化影响了平滑的速度和效果.文中将省略的一项也加以离散,并将差商绝对值替换为梯度模,最终得到一个隐式的离散格式.实验结果表明,本文的离散格式提高了平滑速度,改进了平滑效果.The discretization scheme given by Perona and Malik is the approximation of the Perona- Malik Model. This discretization scheme replaced the gradient magnitude with the absolute value of the difference and omitted an item of the original model. The smoothing velocity and effect are affected by these simplifications according to the analyses of this paper. In this paper, the omitted item is also discretized and the difference is replaced with the gradient magnitude, and an implicit scheme is proposed. The experiment result shows that the diseretization scheme in this paper decreases the computation time and improves the smoothing effect.

关 键 词：图像平滑 非线性偏微分方程 Perona-Malik模型 离散格式 梯度模 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]