形状和颜色变换下图像的Gaussian-Hermite矩不变量  

Gaussian-Hermite Moment Invariants of Image to Shape and Color Transforms

作　　者：墨瀚林 郝优 李华[1,2] Mo Hanlin;Hao You;Li Hua(Key Laboratory of Intelligent Information Processing,Institute of Computing Technology,Chinese Academy of Sciences,Beijing 100190;University of Chinese Academy of Sciences,Beijing 100049)

机构地区：[1]中国科学院计算技术研究所智能信息处理重点实验室,北京100190 [2]中国科学院大学,北京100049

出　　处：《计算机辅助设计与图形学学报》2022年第3期341-351,共11页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家重点研发计划(2019YFF0301801,2017YFB1002703);国家重点基础研究规划项目(2015CB554507);国家自然科学基金(61379082)。

摘　　要：矩不变量是计算机视觉和模式识别领域常用的图像不变特征.现有的形状和颜色变换下彩色图像的矩不变量均基于几何矩构造,因此抗噪性较差.针对该问题,提出了利用基本微分算子和颜色几何基元生成旋转-仿射变换下彩色图像Gaussian-Hermite正交矩不变量的方法,所构造的不变量均为Gaussian-Hermite矩的齐次多项式;然后生成所有可能的低阶低次不变量,并从中得到13个满足线性独立关系的不变量实例.基于合成图像数据集和HPatches图像数据集进行了数值稳定性验证、图像分类和模板匹配实验,结果表明,13个不变量实例具有良好的数值稳定性和抗噪性;使用它们得到的分类和匹配准确率比同类矩不变量分别高出10%和30%左右.In the fields of computer vision and pattern recognition,moments and moment invariants are commonly used invariant features of images.The existing moment invariants of color images to both geometric deformations and illumination changes are constructed based on geometric moments.Thus,they are sensitive to noise.To address this issue,we first propose a method to construct orthogonal Gaussian-Hermite moment invariants of color images to rotation-affine transform by means of fundamental differential operators and color geometric primitive.Then,we generate all possible invariants with low orders and low degrees,and derive thirteen linearly independent invariants from them.Finally,based on synthetic images and HPatches image database,the experiments are carried out to test the numerical stability of thirteen invariants,and to evaluate the performance of them in image classification and template matching.The results show that these invariants have good stability and robustness to noise.The classification and matching accuracy rates from using them are 10%and 30%higher than the same types of moment invariants,respectively.

关 键 词：正交矩不变量 GAUSSIAN-HERMITE矩 形状变换 颜色变换 图像分类 模板匹配 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]