线段长度比仿射几何不变量提取方法

Extraction method of a segment length ratio affine geometry invariant

基于扩展质心概念,提出了一种新的线段长度比仿射几何不变量。利用扩展质心的仿射几何特性证明:对待分割图像进行仿射区域划分时,所得扩展质心与待分割图像原质心共线,进而提出冗余度更低的仿射区域划分策略,并定义了扩展图像。在新的划分策略规则下联合扩展图像,由共线的扩展质心和原质心构造出长度比仿射几何不变量。理论推导和实验表明,新不变量稳定性高且累积误差小,具有更优的分类识别能力。

Based on the concept of extended centroids, a new segment length ratio affine geometry invariant is proposed in this paper, First, with the affine geometrical characteristics of the extended centroids, it is proved that an image＇s extended centroids by affine region cutting and its original cnetroid are in the same straight line. Then, a lower redundancy affine area cutting strategy is proposed, and the extended images are defined. Finally, under the new cutting strategy combined with the extended images, the segment length ratio affine geometry invariants are constructed by the collinear extended centroids and the original centroid. Theoretical analysis and experiment results show that the new invariants have high stability, small accumulated error and better classification ability.