基于沃尔什变换的图像不变正交矩  

An image invariant orthogonal moment based on a Walsh transform

作　　者：李靖[1] 陈怀民[2] 段晓军[2] 刘慧英[3] 任悦 LI Jing;CHEN Huaimin;DUAN Xiaojun;LIU Huiying;REN Yue(School of Mechanical Engineering,Northwestern Polytechnical University,Xi′an 710072,China;National Key Laboratory of Special Technology on UAV,Northwestern Polytechnical University,Xi′an 710072,China;School of Automation,Northwestern Polytechnical University,Xi′an 710072,China)

机构地区：[1]西北工业大学机电学院,陕西西安710072 [2]西北工业大学无人机特种技术国防科技重点实验室,陕西西安710072 [3]西北工业大学自动化学院,陕西西安710072

出　　处：《哈尔滨工程大学学报》2019年第10期1784-1789,共6页Journal of Harbin Engineering University

基　　金：航空科学基金项目(20162053021);国家自然科学基金青年项目(51705424);陕西省自然科学基础研究计划项目(2018JQ5165)

摘　　要：针对机器视觉应用中,人类视觉系统计算机建模过程复杂,强图像特征提取过程使整个图像工程运行效率低下等问题,本文由图像特征提取的快速性与图像特征自身的稳定性出发,结合不变矩、正交矩以及图像矩等相关理论,在列率域中提出并推导了一种以沃尔什函数为变换核的图像矩-沃尔什图像矩,并基于沃尔什变换给出了一种快速计算沃尔什图像矩的方法。实验结果表明:沃尔什图像矩对图像具有一定的描述能力,且具有平移、旋转和缩放不变的特性,在计算效率及准确性上均优于以正余弦函数为变换核的图像正交矩,在小图像的特征快速提取上具有明显优势;同时由其构造过程中的置换矩阵多样性可知,对同一图像的计算,沃尔什图像矩还具有一定的隐匿性和不唯一性。Aiming at the complex process of computer modeling of human visual system and the inefficiency of image engineering caused by the process of strong image feature extraction,in the application of machine vision,an image moment-Walsh image moment is proposed and deduced from the fast speed of image feature extraction and the stability of image feature itself,combined with invariant moment,orthogonal moment and image moment.The Walsh image moment is used as the transformation core.Based on Walsh transform,a fast method for calculating the moment of Walsh image is presented.The experimental results show that Walsh image moments have certain descriptive ability to images,and are invariant in translation,rotation and scaling.Their computational efficiency and accuracy are superior to those of orthogonal moments based on sine-cosine functions,which have obvious advantages in fast feature extraction of small images.At the same time,from the diversity of the permutation matrix in the construction process of Walsh image moments,the Walsh image moment has certain concealment and non-uniqueness for the calculation of the same image.

关 键 词：图像特征 图像正交矩 图像重构 目标识别 列率 沃尔什变换 沃尔什图像矩 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]