基于变分Level Set方法的图像分割

Image Segmentation Based on Varitional Level Set Method

文章主要利用levelset函数隐式地追踪图像的边界来实现图像分割。在该文中首先给出了一个变分问题以及相应的Euler-Lagrange方程,并且提出了一种求解该方程的数值算法,使得计算速度有了很大的提高。数值算例表明,该水平集算法具有数值稳定性,不会出现振荡现象,可以很好地处理拓扑结构的变化。

In this paper,image segmentation is realized by level set function implicitly,A variational question and the corresponding Euler-Lagrange equation are proposed,and the numerical method of the Euler-Lagrange equation is proposed to accelerate the convergence rate,Finally,some numerical examples are given and they are shown that the level set method is stable,oscillation does not appear and it can deal with the case of the topology change,