基于矩阵融合的三次B样条曲线曲面加密算法

Encryption Algorithm of Cubic B-spline Curve and Surface Based on Amalgamation-Coeffecient-Matrix

B样条曲线曲面是当前CAD/CAM造型系统中的核心部分。提出了一种基于系数矩阵融合的加密算法,并结合此算法将三次B样条曲线基函数的系数矩阵与三次Bézier曲线基函数的系数矩阵加以混合,实现了对三次B样条曲线曲面的加密,实验结果表明利用此算法生成的曲线曲面与原始的曲线曲面有一定的相似性,保证了三次B样条曲线曲面在信息传播中的安全性。

B-spline curve and surface is the key element in CAD/CAM geometric modling system.In this paper,a encryption algorithm based on amalgamation-coeffecient-matrix is presented.By this algorithm,we can encrypt the cubic B-spline curve and surface with amalgamating the coefficient-matrix of basis function for cubic B-spline and cubic Bezier.The experimental results show that the curve and surface made by this algorithm is similar to original,and make the cubic B-spline curve and surface safe in the information transmitting.