Legendre矩的缩放不变量研究  

A Study on Scale Invariants of Legendre Moments

作　　者：吴海勇[1] 

机构地区：[1]南京晓庄学院物理与电子工程学院,江苏南京211171

出　　处：《南京晓庄学院学报》2011年第6期23-26,共4页Journal of Nanjing Xiaozhuang University

摘　　要：如果图像大小变化,发现Legendre矩本身就近似具有缩放不变性,实验表明它的自身的不变性甚至优于缩放不变量;说明了Legendre的缩放不变量具有反转不变性是因为Legendre多项式只有偶数项的幂级数.It is found that Legendre moments are approximately invariant to scaled images, if the size of images changes. Experiments show that the invariant property of Lgendre moments is even better than the corresponding scale invariants. Meanwhile, for the reason that Legendre polynomials only have even items of power series, scale invariants hold the reflected invariant at the same time.

关 键 词：LEGENDRE矩 Legendre缩放不变量 反转不变量 

分 类 号：O174.3[理学—数学]