二维连续形变物体的计算机识别技术研究

Computer Recognition of 2-D Objects with Continuous Deformation

在对包括连续形变物体等在内的基本概念给出严格定义的基础上 (为使该文自封闭 ) ,首先对物体的刚性相似问题进行了深入研究 ,提出了新的不变量理论 ,即长度相似不变量和方向相似不变量 ,进一步揭示出物体拓扑相似与物体刚性相似之间所存在的内在联系 ,最后研究了物体连续形变与物体拓扑相似之间的内在联系 ,并以定理形式给出了物体连续形变的充要条件———成为该文识别算法的理论依据 ;另外 ,拓扑同胚以及相似不变量等概念在算法的研究过程中起着较为重要的作用 .

On the base of strict definitions of some important basic concepts such as 2D objects and continuous deformation objects, (these definitions can make the paper self-contained), this paper firstly makes a deep study on the problem of so-called rigidity similarity of the two objects, accordingly presents a new theory of invariant, then uncovers the inherent mutual relations between topological similarity and rigidity similarity, finally, probes the intrinsic relations between the continuous deformation objects and the topological similarity objects, and puts forward the sufficient and necessary conditions, upon which the main algorithms proposed in this paper are based. In addition, some concepts, such as topological homoeomorphism and similar invariabilities, play an important role in the process of the algorithm design.