基于Ramanujan矩阵的图像置乱与恢复方法

• Format: Patent
• Language: Chinese
• Published: 18.11.2022
• Subjects: CALCULATING; COMPUTING; COUNTING; ELECTRIC DIGITAL DATA PROCESSING; IMAGE DATA PROCESSING OR GENERATION, IN GENERAL; PHYSICS

本发明公开了一种基于Ramanujan矩阵的图像置乱与恢复方法，包括以下步骤：给定原图像A及分割后的子图像A1,A2,...,An；利用Ramanujan矩阵对每个子图像Ai分别进行加密运算，得加密后的子图像A′1,A′2,...,A′n；依次按照子图像Ai在A中的位置，得到由子图像A′i合成后的数字图像A′；对每个加密后的子图像A′1,A′2,...,A′n分别进行解密运算；A′1,A′2,...,A′n成功解密后保持其位置不变，即恢复出原图像A。本发明提供的基于Ramanujan矩阵的图像置乱和恢复方法，由于在加密和解密过程中，系统不需要额外附加多余的图像信息，故图像信息的传输效率较高；所需的运算量小，运算高效且由于在加密和解密过程中，各个子图像之间是相互独立的，故个别像素点的错误不会引起误差的扩散。 The invention discloses an image scrambling and recovering method based on a Ramanujan matrix. The image scrambling and recovering method comprises the following steps: giving an original image A andsegmented sub-images A1, A2,..., An; respectively carrying out encryption operation on each sub-image Ai by utilizing a Ramanujan matrix to obtain encrypted sub-images A'1, A'2,..., A'n; obtaining a digital image A' synthesized by the sub-images A'i according to the positions of the sub-images Ai in A in sequence; respectively carrying out decryption operation on each encrypted sub-image A'1, A'2,..., A'n; and after the A'1, the A'2,..., and the A'n are successfu