摘要
利用变分法推导了图像边缘检测Snake模型对应的Euler方程,证明了水平集方法3种离散格式(向前差分、向后差分、中心差分)的不稳定性,采用迎风差分格式构造水平集算法,对显微细胞图像进行边缘检测,实验结果表明,该算法是稳定的和收敛的.
Two methods of edge detection and segmentation introduced, they are Snake Model and Level Set Methods. based on partial differential equation (PDE) are We worked out Euler equation corresponding to Snake using variational method and proved non-stability of the three discrete schemes which are forward differential, backward differential and center differential. We detectd the edge of microscopic cell image by constructing algorithms with upwind differential scheme. The results suggest it is stable and convergent.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2006年第5期760-763,共4页
Journal of Jilin University:Science Edition
基金
国家高技术研究发展计划(863)项目基金(批准号:2004AA001110)
关键词
边缘检测与分割
水平集
迎风差分格式
显微细胞图像
edge detection and segmentation
level set
upwind differential scheme
microscopic cell image