几何图形形状的G-GCT变换

G-GCT for geometry shape

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.