一个用于图像分割的p-Laplace方程模型(英文)  

A p-laplace equation model for image segmentation

作　　者：周彬[1] 穆春来[2] 

机构地区：[1]西安科技大学理学院,西安710054 [2]重庆大学数学与统计学院,重庆401331

出　　处：《四川大学学报（自然科学版）》2011年第4期733-737,共5页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(10771226)

摘　　要：作者研究了一个用于图像分割的新模型.通过结合几个尺度函数,一个偏微分方程模型被用于提取物体的边界.活动轮廓线的运动受一个p-Laplace方程驱动.作者给出的水平集模型能够处理一些复杂情况下的拓扑变化,并且能够提取一些深度凹陷的物体边界,相关的演化过程平滑且无需初始化.该方法耗费较小,几个数值算例显示了该方法的有效性.This paper approaches a new model for image segmentation. The object boundaries are detected by a partial differential equation model that is embedded in several scalar functions. The motion of the dynamic interface is governed by a p-Laplace equation. Level set models like this can handle some complex topological changes and are concise in extracting some object boundaries despite of deep depression. Furthermore, a relatively smooth evolution can be maintained without re-initialization. The cost of this method is moderate. The accuracy and efficiency of the proposed algorithm are illustrated by several numerical examples.

关 键 词：P-拉普拉斯方程 图像分割 变分 水平集 

分 类 号：O175.29[理学—数学]