{"title":"图像矩阵掩蔽结果的光谱特性分析","authors":"E. Grigoriev","doi":"10.31854/1813-324x-2024-10-2-76-82","DOIUrl":null,"url":null,"abstract":"The article describes the results of a computational experiment to assess the capabilities of extracting useful information if an image masked by quasi-orthogonal matrices sent over an open channel became available to a third party. Hadamard and Mersenne matrices of symmetric and cyclic structure are considered. The results confirm the data that images masked by small-sized matrix leaves edges of the original image on the masked image. However, with an increase in the size of the masking matrix, all considered in the article matrices reliably hides the original image during visual analysis. Masking by symmetric Mersenne-Walsh matrices and cyclic Mersenne matrices based on modified M-sequences provides better spectral secrecy of masked images in comparison with Hadamard matrices. Mersenne matrices of cyclic structure, with equal sizes of the image and the masking matrix, bring the phase spectrum of the masked image to a form close in spectrum to uniform noise, which makes their use more preferable based on the considerations that the human visual system is extremely sensitive to phase-frequency distortions of the visual information.","PeriodicalId":298883,"journal":{"name":"Proceedings of Telecommunication Universities","volume":"11 4","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spectral Characteristics Analysis of Images Matrix Masking Results\",\"authors\":\"E. Grigoriev\",\"doi\":\"10.31854/1813-324x-2024-10-2-76-82\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The article describes the results of a computational experiment to assess the capabilities of extracting useful information if an image masked by quasi-orthogonal matrices sent over an open channel became available to a third party. Hadamard and Mersenne matrices of symmetric and cyclic structure are considered. The results confirm the data that images masked by small-sized matrix leaves edges of the original image on the masked image. However, with an increase in the size of the masking matrix, all considered in the article matrices reliably hides the original image during visual analysis. Masking by symmetric Mersenne-Walsh matrices and cyclic Mersenne matrices based on modified M-sequences provides better spectral secrecy of masked images in comparison with Hadamard matrices. Mersenne matrices of cyclic structure, with equal sizes of the image and the masking matrix, bring the phase spectrum of the masked image to a form close in spectrum to uniform noise, which makes their use more preferable based on the considerations that the human visual system is extremely sensitive to phase-frequency distortions of the visual information.\",\"PeriodicalId\":298883,\"journal\":{\"name\":\"Proceedings of Telecommunication Universities\",\"volume\":\"11 4\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of Telecommunication Universities\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31854/1813-324x-2024-10-2-76-82\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of Telecommunication Universities","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31854/1813-324x-2024-10-2-76-82","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
文章介绍了一项计算实验的结果,该实验旨在评估如果通过开放信道发送的准正交矩阵遮蔽图像被第三方获取,提取有用信息的能力。实验考虑了对称和循环结构的哈达玛矩阵和梅森矩阵。结果证实了这样一个数据,即用小尺寸矩阵遮挡的图像会在被遮挡图像上留下原始图像的边缘。然而,随着掩蔽矩阵大小的增加,本文所考虑的所有矩阵都能在视觉分析过程中可靠地隐藏原始图像。与哈达玛矩阵相比,使用对称梅森-瓦尔什矩阵和基于修正 M 序列的循环梅森矩阵进行掩蔽能更好地掩蔽图像的光谱保密性。图像和掩蔽矩阵大小相等的循环结构梅森矩阵能使被掩蔽图像的相位频谱在频谱上接近于均匀噪声,这使得它们的使用更为可取,因为人类视觉系统对视觉信息的相频失真极为敏感。
Spectral Characteristics Analysis of Images Matrix Masking Results
The article describes the results of a computational experiment to assess the capabilities of extracting useful information if an image masked by quasi-orthogonal matrices sent over an open channel became available to a third party. Hadamard and Mersenne matrices of symmetric and cyclic structure are considered. The results confirm the data that images masked by small-sized matrix leaves edges of the original image on the masked image. However, with an increase in the size of the masking matrix, all considered in the article matrices reliably hides the original image during visual analysis. Masking by symmetric Mersenne-Walsh matrices and cyclic Mersenne matrices based on modified M-sequences provides better spectral secrecy of masked images in comparison with Hadamard matrices. Mersenne matrices of cyclic structure, with equal sizes of the image and the masking matrix, bring the phase spectrum of the masked image to a form close in spectrum to uniform noise, which makes their use more preferable based on the considerations that the human visual system is extremely sensitive to phase-frequency distortions of the visual information.