CAJ | 학술논문

针对噪声符合高斯分布的曲面图像分割问题，提出了一种基于变分水平集方法的隐式曲面上噪声符合高斯分布的图像分割模型。为定义隐式曲面上图像区域划分的动态轮廓线，引入另一个动态水平集函数，其零水平集与隐式曲面的交线即为曲面上区域划分的轮廓线。该模型采用N个水平集函数划分2N个区域的区域竞争策略。通过变分方法得到图像分割空间轮廓线演化的梯度降方程。通过显式差分格式对演化方程进行离散。实验结果表明，该模型对曲面上噪声符合高斯分布的图像具有良好的分割效果，并且在图像分割的同时能够完全保持曲面固有的几何特征。
침대조성부합고사분포적곡면도상분할문제，제출료일충기우변분수평집방법적은식곡면상조성부합고사분포적도상분할모형。위정의은식곡면상도상구역화분적동태륜곽선，인입령일개동태수평집함수，기령수평집여은식곡면적교선즉위곡면상구역화분적륜곽선。해모형채용N개수평집함수화분2N개구역적구역경쟁책략。통과변분방법득도도상분할공간륜곽선연화적제도강방정。통과현식차분격식대연화방정진행리산。실험결과표명，해모형대곡면상조성부합고사분포적도상구유량호적분할효과，병차재도상분할적동시능구완전보지곡면고유적궤하특정。
A new model to segment the Gaussian noise images on implicit surface based on variational level set method was proposed. The spatial contour for image segmentation is defined by means of intersection of the above implicit surface and the zero set of another dynamic level set function. Strategy for region competition is applied to segment regions using levelset function. The evolution equation of level set function is obtained using variation technique and is discretized by simple explicit finite difference method. Experimental results show that the model has promising effect on Gaussian noise image segmentation on implicit surface and preserves salient features of the surface.