广义Julia集在防伪设计中的应用

Application of Julia set to anti-counterfeiting design

随着经济的发展,假冒伪劣产品越来越多,而传统的防伪技术,如激光全息、激光打标、电码防伪等,防伪成本高,易复制,已逐渐失去防伪效力,因此,防伪技术的升级已势在必行。文章阐述了防伪设计的理论基础;且基于这些理论,结合防伪标签的设计实例,对产品防伪设计的新方法进行了设计研究;该方法对传统经典Julia集进行推广,改变影响Julia集的参数,产生结构更加复杂的、形态更加多样化的分形图;基于Hilditer算法将Julia位图转变为矢量图后制作成团花,将生成的团花用于产品的防伪设计。文章主要探索了用于产品防伪设计新方法,结果表明文章中所出的新方法可以在一定程度上满足产品防伪的要求。

With the development of economy, more and more counterfeit products were produced. But the high cost traditional anti-counterfeiting technologies like laser holography, laser marking, security code, and otherswere easily copied, which have already lost their effectiveness gradually. Hence,the anti-counterfeiting technology innovation is required. The theory for anti-counterfeiting design is introduced in this paper, and a new method of anti-counterfeiting product design is presented based on this theory and the design examples. Some fractals with more complex structures and more diverse forms are got by extending the traditional Julia set through changing two important parameters of Julia set. Julia bitmaps are converted into vectors based on Hilditer algorithm for making regiments. A new method of anti-counterfeiting product design is presented in this paper, which can meet the growing demand for anti-counterfeiting to some degree.