几何图形形状的G-GCT变换  

G-GCT for geometry shape

作　　者：吴绍根[1] 刘娅琴[2] 路利军[2] 王康[1] Wu Shaogen;Liu Yaqin;Lu Lijun;Wang Kang(School of Information Technology,Guangdong Industry Technical College,Guangzhou 510300,China;School of Biomedical Enginee-ring,Southern Medical University,Guangzhou 510515,China)

机构地区：[1]广东轻工职业技术学院信息技术学院,广州510300 [2]南方医科大学生物医学工程学院,广州510515

出　　处：《计算机应用研究》2018年第7期2233-2236,共4页Application Research of Computers

基　　金：国家自然科学基金项目(81501541);广东省产学研项目(2013B090500104);广东省重点科技项目(2013A022100009)

摘　　要：针对计算机视觉和模式识别中几何形状的相似性判定问题,GCT(geometry complex transform,几何复变换)对几何形状的相似性判定能够给出与人类视觉一致的判定结果,但是GCT变换只能表示和判定封闭的几何图形形状。G-GCT变换(generic GCT,一般几何复变换)在两个方面对GCT变换进行了扩展,使得G-GCT变换可以同时对封闭的和非封闭的几何图形形状进行表示和相似性判定。理论证明和实验验证,对于封闭的图形形状,G-GCT变换与GCT变换具有同等的表示和判定能力,而对于非封闭的图形形状,G-GCT变换也能给出与人类视觉一致的判定结果。Similarity determination plays an important role in computer vision and pattern recognition. GCT,which means geometry complex transform,while it can represent and determine the similarity of closed geometry shapes,it can＇t work for these of open geometry shapes. G-GCT,which means generic GCT,is the extension of GCT in two aspects,and it worked well for closed shapes as well as for open shapes in shape representation and similarity determination. Theoretical proofs and experiments show that G-GCT has the same capability as that of GCT for closed geometry shapes. But for open geometry shapes,while GCT can＇t work for them,G-GCT can compute the similarity of them with the same result as that of human being.

关 键 词：几何图形形状表示 相似性判定 GCT G-GCT 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]