摘要
提出计算3D图象S Euler数新的有效算法.算法基于微分几何及代数拓扑原理,其基本思想很易推广到由其它数据结构如分层数据结构所定义的图象.
This paper proposes a new algebraic algorithm for computing the Euler number of 3-D images. It is based on mathematical principles in differential geometry and algebraic topology. The basic idea can be easily generalized to images defined by other data structures such as a hierarchical data structure. We find that this kind of mathematical description of the basic structures of the objects which are invariant under rigid transformations such as rotation and translation of the ambient Euler space is a useful approach to analyse and understand 3-D images.
出处
《应用科学学报》
CAS
CSCD
1992年第4期339-346,共8页
Journal of Applied Sciences
关键词
欧拉数
数字图象
计算方法
三维
Euler number, hierarchical data structure, algebraic topology, rigid transformation.
