三维Hilbert曲线在图像置乱中的应用

Application of Three-dimensional Hilbert Curve in Image Scrambling

研究三维Hilbert曲线基元在空间中的24种形态,提出一种基于基元分形走向的n阶三维Hilbert曲线生成算法,将图像像素点存入到一个空间立方体数组中,按三维Hilbert曲线遍历顺序对空间立方体中的像素点进行顺序扫描存储,从而实现图像置乱处理。实验结果表明,相比二维Hilbert曲线,三维Hilbert曲线置乱具有更强的图像置乱度和更高的图像加密安全性。

This paper researches twenty-four space forms of three-dimensional Hilbert curve primitives, and proposes a n-order three-dimensional Hilbert curve generation algorithm based on the orientation of the primitives. It puts the pixels into a space cube array, sequentially scans them and stores them based on the traversal sequence of three-dimensional Hilbert to realize image scrambling. Experimental results show that three-dimensional Hilbert curve scrambling has a stronger image scrambling degree and higher encryption security compared with the two-dimensional Hilbert curve.