CAJ | 학술논문

水平集方法在医学图像分割中的应用 　　孔珊，陈相廷，刘姝月，张一凡 　　（河南大学计算机与信息工程学院，开封475001） 　　水平集方法已广泛应用于医学图像分割中，该方法将界面看成高一维空间中的某一函数φ（称为水平集函数）的零水平集，同时界面的演化也扩充到高一维的空间中。其核心思想是利用水平集理论求解能量泛函的最小值，即当能量达到最小值时的曲线位置就是目标轮廓所在；有效解决曲线演化过程中的拓扑变化问题。介绍水平集发展过程中几个经典模型的基本思想，并通过大量实验证明该方法在医学图像分割中的适用性及有效性。 　　关键词：水平集；医学图像分割；能量泛函；曲线演化 　　文章编号：1007-1423（2014）35-0049-07 　　DOI：10.3969/j.issn.1007-1423.2014.35.013
수평집방법재의학도상분할중적응용 　　공산，진상정，류주월，장일범 　　（하남대학계산궤여신식공정학원，개봉475001） 　　수평집방법이엄범응용우의학도상분할중，해방법장계면간성고일유공간중적모일함수φ（칭위수평집함수）적령수평집，동시계면적연화야확충도고일유적공간중。기핵심사상시이용수평집이론구해능량범함적최소치，즉당능량체도최소치시적곡선위치취시목표륜곽소재；유효해결곡선연화과정중적탁복변화문제。개소수평집발전과정중궤개경전모형적기본사상，병통과대량실험증명해방법재의학도상분할중적괄용성급유효성。 　　관건사：수평집；의학도상분할；능량범함；곡선연화 　　문장편호：1007-1423（2014）35-0049-07 　　DOI：10.3969/j.issn.1007-1423.2014.35.013
Evolution of the level set method has been widely applied in medical image segmentation , which will screen as a higher-dimensional space in a certain function? (called the level set function) of the zero level set, while also expanding the interface to a higher-dimen_sional space. The core idea is to put the level set on the mathematical theory minimum energy functional solution process , when the curve reaches a minimum energy position is where the target contour lies, effectively solving the problem of topology change in the evolu_tion of the curve which has no proper algorithm to solve previously. Describes several classical models' basic idea of the level set devel_opment and by a large number of experiments proves the applicability and effectiveness of this method in medical image segmentation.