联合纯四元数与字典学习的彩色图像去噪方法  

Color image denoising method combining prue quaternion and dictionary learning

作　　者：曾拥华 马均瑶 黄朝燕 冒智慧 武婷婷[3] ZENG Yonghua;MA Junyao;HUANG Chaoyan;MAO Zhihui;WU Tingting(College of Field Engineering,Army Engineering University,Nanjing 210007,China;School of Communication and Information Engineering,Nanjing University of Posts and Telecommunications,Nanjing 210023,China;School of Science,Nanjing University of Posts and Telecommunications,Nanjing 210023,China)

机构地区：[1]陆军工程大学野战工程学院,江苏南京210007 [2]南京邮电大学通信与信息工程学院,江苏南京210023 [3]南京邮电大学理学院,江苏南京210023

出　　处：《系统工程与电子技术》2023年第2期373-378,共6页Systems Engineering and Electronics

基　　金：国家自然科学金(61971234,12126340,12126304,11501301);2020年江苏省研究生科研与实践创新计划(KYCX20_0788);大学生创新创业训练计划(XYB2021006)资助课题。

摘　　要：彩色图像在获取、传输和存储过程中会受到噪声的影响,这给后续图像处理带来麻烦,因此图像去噪任务意义重大。对此,提出一种基于四元数字典学习的模型,该模型约束四元数的实部为零,图像的色彩信息得以保存。传统的稀疏图像模型把彩色图像看作向量或者单色图像的线性组合,忽略了RGB通道之间的关系。用纯四元数表示彩色图像,将彩色图像的RGB通道表示成四元数矩阵的虚部,拟合图像效果更好。数值实验表明,与其他模型相比较,所构建的模型可以更精确地表示彩色图像,在处理彩色图像的过程中产生模型拟合误差相对较小,峰值信噪比以及视觉效果方面均有明显提升,能更好地进行图像去噪。The acquisition,transmission,and storage process of color images can corrupted by noise,which brings trouble to the subsequent image processing.The task of image denoising is of great significance.A model based on quaternion dictionary learning is proposed by using the method of constraining the real part of quaternion to zero to represent color images,so that the color information can be well preserved.The traditional sparse image models only regard color image pixels as the linear connection of vector or monochrome images,which ignore the correlation of RGB channels.The color image is represented as a pure quaternion,and the RGB channels of the color image are represented as the imaginary part of the quaternion matrix,which fits the image better.Compared with other advanced models,numerical experiments show that the constructed model can represent color images more accurately,and the model fitting error is relatively small in the process of processing color images,peak signal-to-noise ratio and visual effect are significantly improved,so it can better denoise the image.

关 键 词：四元数 字典学习法 彩色图像去噪 

分 类 号：TP751[自动化与计算机技术—检测技术与自动化装置]