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中文摘要：
根据许多加密方法利用数学难题保障其安全性的思想，盲源分离欠定难题可用于高度安全的多幅图像加密。然而，由于盲源分离存在顺序和幅度模糊性，通过盲源分离得到的解密图像可能发生顺序变化和像素值反转。这在加密多幅顺序图像时可能导致解密错误。针对这一问题，该文利用数字水印技术，加密前在每幅明文图像中嵌入与其对应的顺序信息；解密后，通过在各解密图像中检测该顺序信息而消除其顺序和幅度的模糊性。计算机仿真结果表明，该方法在恢复解密图像顺序的同时也能检测其是否反转，从而有效地解决了多幅顺序图像的盲源分离加密问题。
英文摘要：
Since the security of many cryptosystems relies on the apparent intractability of the computational problems, the underdetermined problem of Blind Source Separation （BSS） is used to encrypt multiple images with high security. However, due to the BSS ambiguity, the order of BSS decrypted images may different from that of the original images and the value of pixel in some decrypted images may be reversed, which can result in decryption errors when encrypting multiple sequential images. To solve this problem, digital watermarking technique is utilized to embed some order information into each original image before encryption. After decryption, these order information is extracted from the decrypted images and then used to eliminate the decryption errors. Computer simulation results show that the proposed method not only can recover the original order of the decrypted images, but also can detect if the decrypted images are reversed.
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