CAJ | 학술논문

Hilbert曲线的空间填充性质使得它可用于图像置乱．针对二维Hilbert曲线扫描波动性相对较小以及少数几次置乱后仍达不到较好置乱效果的弱点，提出将二维图像堆积成三维矩阵，并利用三维Hilbert曲线产生的扫描矩阵进行图像置乱．数值实验结果表明．三维Hilbert曲线扫描的置乱效果比二维好，算法对于剪切、JPEG压缩、噪声、涂鸦等攻击具有较好的鲁棒性．
Hilbert곡선적공간전충성질사득타가용우도상치란．침대이유Hilbert곡선소묘파동성상대교소이급소수궤차치란후잉체불도교호치란효과적약점，제출장이유도상퇴적성삼유구진，병이용삼유Hilbert곡선산생적소묘구진진행도상치란．수치실험결과표명．삼유Hilbert곡선소묘적치란효과비이유호，산법대우전절、JPEG압축、조성、도아등공격구유교호적로봉성．
The space-filling characteristic of Hilbert curve can be utilized to scramble image. In order to overcome the weakness of two-dimensional Hilbert curve, such as the relatively small undulation and bad scrambling effect, an image scrambling scheme is proposed in which two-dimensional image is piled to be a three-dimensional matrix and the three-dimensional Hilbert curve is applied to generate one scanning matrix to scramble the image. Experimental results show that the scrambling effect based on three- dimensional Hilbert curve is better than that based on two-dimensional Hilbert curve. The robustness of the proposed scheme is tested as well.