基于一个水平集函数的多相图像分割方法

Multiphase Image Segmentation Method Based on One Level Set Function

利用多个特征函数标记不同区域的方法进行图像分割时,需要对多个函数求极值,导致计算量增大。针对该问题,设计一个函数在多层水平集标记的方法,通过求解一个标记函数的极值问题实现对图像不同区域的分割。总结区域标记函数规律,得到多项图像分割模型表达式,将其与变分水平集方法相结合,运用交替方向乘子法加速求解能量泛函极值问题。实验结果表明,该方法能够实现图像多个区域的分割,并且保证分割结果的鲁棒性和计算高效性。

When using multiple feature functions to mark different regions for image segmentation,it is necessary to find extreme values for multiple functions,resulting in the increase in computation.Aiming at this problem,a method of multi-level set marking by one function is designed,and the segmentation of different regions is realized by solving the extremum problem of one marking function.It summarizes law of regional marking function,obtains expressions of multiple image segmentation model,and combines it with the Variational Level Set Method(VLSM).At the same time,it accelerates the solution of the energy functional extremum problem by the Alternating Direction Method of Multipliers(ADMM)acceleration algorithm.Experimental results show that the proposed method can realize the segmentation of multiple regions and ensure the robustness and efficiency of segmentation results.