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一种基于AOS格式的多相水平集快速分割方法*

DOI: 10.16451/j.cnki.issn1003-6059.201501002, PP. 11-18

Keywords: 图像分割,多相水平集方法,AOS格式,几何主动轮廓,重新初始化

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Abstract:

采用迎风格式的水平集算法实现需要在曲线演化过程中重新初始化水平集函数的要求,为保证算法的稳定,时间步长选取较小值,算法运行速度较慢.文中基于无须重新初始化的水平集方法,在算法数值实现中引入AOS半隐格式,对基于不同统计模型的水平集分割算法给出统一的数值实现.以二相水平集分割算法为基础提出一种新的多相水平集分割方法.该方法采用一个水平集函数进行多次演化实现多区域分割,其优点包括:1)采用AOS半隐格式,该格式无条件稳定,可采用较大的时间步长;2)对多个统计模型进行统一处理;3)采用单一的水平集函数进行演化,减少水平集演化方程的数量,算法更加灵活.实验结果表明,该方法具有较快的分割速度,对具有多个区域的图像能够进行较准确的分割.

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