彩色koch曲线设计及其在包装印刷中的防伪能力分析与实现

Color Koch Curve Design and Its Anti-counterfeiting Ability Analysis and Achieve in Packaging and Printing

针对传统商品包装图片因其图案设计简单而易被不良商家非法复制、牟利暴利的现象,提出将分形理论应用于商品防伪包装的图案设计。通过设计koch彩色曲线,提出了防伪空间的概念和基于分形图形的相应计算方法,给出了相应的C++代码实现,并且分别从空间结构、颜色变化及角度变化对koch曲线进行防伪能力分析,论证了彩色koch曲线在包装印刷中防伪的可行性和有效性。

For traditional commodity packaging pictures, it is easy for illegal businesses to copy illegally and make profits because of its simple pattern design,this paper proposes the application of fractal theory to the pattern design of commodity anti-counterfeiting packaging. Through the design of Koch color curve, the concept of anti-counterfeiting space and the corresponding calculation method based on fractal graphics are put forward, and the corresponding C＋＋ code is implemented. The anti-counterfeiting ability of koch curve is analyzed on spatial structure, color change and angle, and the feasibility and effectiveness of color koch curve in packaging and printing are demonstrated.