摘要
定义在单位圆盘上的正交旋转不变矩函数(如Zernike矩)具有非常广泛的应用.本文基于一类正交分段多项式函数系—V系统,构造了一种新型的矩函数,称之为正交旋转不变V矩(简称为V矩).除了正交性、旋转不变性之外,由于V系统具有次数低、表达式简单的优点,V矩能够避免传统矩函数中高阶多项式的计算,从而能够保证数值稳定性,降低计算复杂度.实验结果表明,V矩比传统的正交旋转不变矩具有更好的图像重建与图像检索结果.
Orthogonal rotation-invariant moments (ORIMs) such as Zernike moments introduced and defined on a con- tinuous unit disk have been proven to be powerful tools in many applications. A new kind of ORIMs named V moments (VMs) is introduced in this paper, which is based on a class of orthogonal piecewise polynomial functions -- V system. In addition to orthogonality and rotation-invariant, VMs have two special advantages of numerical stability and low compu- tational complexity, which originate from the low degrees and simple expressions of the V system. Experimental results are presented to show that VMs can have a better image reconstruction and image retrieval results than the traditional moments.
出处
《自动化学报》
EI
CSCD
北大核心
2015年第2期376-385,共10页
Acta Automatica Sinica
基金
国家自然科学基金(61170320
61272026
61272364)
北京市自然科学基金重点项目暨北京市教育委员会科技发展计划重点项目(KZ201210009011)
中央高校基本科研业务费专项资金(JUSRP11416)资助~~
关键词
V系统
正交旋转不变矩
正交分段多项式
图像重建
图像检索
V system, orthogonal rotation-invariant moments (ORIMs), orthogonal piecewise polynomials, image re-construction, image retrieval