一个用于图像分割的p-Laplace方程模型

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.

A p-laplace equation model for image segmentation

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.