数字图像复数不变矩构造及稳定性分析  

Generation and Stability Analysis of Complex Invariants for Digital Image

作　　者：杨晓东[1] 季超[1] 

机构地区：[1]海军潜艇学院,山东青岛266042

出　　处：《火力与指挥控制》2015年第6期66-69,共4页Fire Control & Command Control

基　　金：海军预研基金资助项目(4010103010301-05)

摘　　要：为系统性地给出数字图像不变矩一般性构造方法及对不变矩稳定性进行分析,通过采用复数矩作为描述数字图像识别特征量的方法,研究了复数不变矩所具有不变性的约束条件及其与几何不变矩间的关系,推导出了复数不变矩构造定理,并以在工程应用中的低阶复数不变矩为例对复数不变矩的稳定性进行了分析。研究结果表明:采用复数不变矩构造数字图像特征量具有很好普适性和稳定性,对于图像目标识别特征的描述有较好的效果。In order to give the generalized methods of constructing digital image moment invariants and analysis its stability systematically,complex invariants are used for the methods of describing digital image recognition features. Constraint conditions of complex invariants and its relations between geometric moment invariants are discussed,and complex moment invariants construction theorem are deduced. Taking some low-order complex moment invariants in engineering application as examples,the stability of them are analyzed. Results indicate that,complex moment invariants have good universality and stability in constructing digital image moment invariants features and perform well in image object recognition features description.

关 键 词：数字图像 识别特征 几何不变矩 复数矩 稳定性 

分 类 号：TP317[自动化与计算机技术—计算机软件与理论]