Abstract

Data encryption is becoming increasingly relevant with the development of digital technologies. A particularly promising direction is the development of encryption methods based on optical transformations. Fractional Fourier Transform is a well-known method of encoding data, especially graphic. However, an assessment of the method’s resistance to unauthorized data decryption has not been carried out until the present moment. In this work we describe a method of encoding images based on a fractional Fourier transform, a method of decoding an image based on a classical Fourier transform, and also estimate the probability of decoding an image using its fractional Fourier transform spectrum.

中文翻译：

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关于使用分数阶傅里叶变换编码数字图像的可能性

摘要

随着数字技术的发展，数据加密变得越来越重要。一个特别有希望的方向是基于光学变换的加密方法的发展。分数阶傅立叶变换是一种众所周知的编码数据（尤其是图形）的方法。但是，直到目前还没有对该方法对未授权数据解密的抵抗力进行评估。在这项工作中，我们描述了一种基于分数阶傅里叶变换的图像编码方法，一种基于经典傅里叶变换的图像解码方法，并且还估计了使用分数阶傅里叶变换谱对图像进行解码的可能性。