摘要: 针对图像中不规则形状物体接触的分割问题,提出一种采用Hessian矩阵来判断分割点(即鞍点)进行粘连对象分割的方法。根据对图像进行腐蚀操作得到的三维地貌图,结合鞍点的数学特性,运用Hessian矩阵的特征值对鞍点进行搜索定位,沿经过鞍点的最大梯度路径分割粘连对象。与目前已有的几种分割算法相比,该方法具有算法简捷、分割效果好以及易于实现的特点。
关键词:
鞍点,
Hessian矩阵,
特征值
Abstract: Aiming at the problem of segmenting the touching anomalous objects in an image, this paper proposes a method based on saddle-point detection using Hessian matrix. The image is converted to its 3D topographic counterpart by sequential erosion, followed by searching the saddle-point utilizing Hessian matrix determination approach. The segmentation is performed at the identified saddle-point by tracking the maximal gradient path. Compared with other conventional segmentation algorithms, this method is more practical for implementation, and shows its superiority in execution speed.
Key words:
saddle-point,
Hessian matrix,
eigenvalue
中图分类号:
汪一聪;陈 恳. 基于鞍点搜索的粘连对象图像分割方法[J]. 计算机工程, 2009, 35(10): 203-205.
WANG Yi-cong; CHEN Ken. Image Segmentation Method of Touching Objects Based on Saddle-point Search[J]. Computer Engineering, 2009, 35(10): 203-205.