利用碎形螺旋矩陣及貓圖的影像加密法

Abstract

在這個5G網路飛速成長的時代，影像資訊的安全性已經被大家密切關注及討論。我們透過閱讀影像加密、解密相關的論文來探討如何利用安全的方法傳送加密影像，並且在解密影像的階段也能準確地還原影像。其中，碎形螺旋矩陣和貓圖的概念讓我們有更多想要延伸實作的想法。我們設計了幾個相關的影像加密實驗，與其他較複雜或先進的方法不同的地方是我們結合先前提到的概念以及邏輯互斥或。邏輯互斥或的可逆性讓我們在解密影像的步驟可以更不費力。在評估實驗的方法中，我們運用了多種不同的方法來分析加密影像的安全性。實驗結果顯示我們在資訊熵分析中獲得很高的數值，在相關係數分析中也有呈現出接近零的結果，這表示了提出的方法實作效果不錯。除此之外，我們為了排除最理想的狀況，也加進了雜訊分析，透過雜訊分析可以看出在影像不完美的情況時，這個實驗是否還能順利進行。與傳統方法相比，所提出的方法在安全性與簡潔性之間提供了更好的平衡，使其適用於輕量級影像加密應用 。

With the rapid development of 5G networks, the security of image information has received increasing attention. To transmit images that contain important information more securely, we study papers related to image encryption and aim to propose more efficient methods.We designed the experiments based on the concepts of the fractal sorting matrix and Arnold's cat map. Moreover, we explore more diverse approaches to implement image encryption.Instead of applying complicated and state-of-the-art methods, we combine the concept with exclusive OR. With its inherent reversibility, we make no effort to decrypt the encrypted image.To evaluate our implementation, we adopt various approaches to analyze the security of the image encryption. Experimental results show that our method achieves high entropy.In addition, they perform well in the correlation coefficient analysis. Beyond the ideal conditions, we also conducted a robustness analysis to evaluate whether the proposed method can still achieve good reconstruction when the image is partially damaged.Compared to traditional methods, the proposed approach offers a better balance between security and simplicity, making it suitable for lightweight image encryption applications.