纺织学报 ›› 2010, Vol. 31 ›› Issue (12): 139-142.

• 染整与化学品 • 上一篇    下一篇

基于分形理论中Mandelbrot集变换的印花图案设计

姜会钰1;郑春玲2;刘素一3   

  1. 1. 武汉纺织大学化学工程学院 2. 南京工业大学食品与轻工学院 3. 武汉纺织大学电子信息工程学院
  • 收稿日期:2009-09-17 修回日期:2010-07-19 出版日期:2010-12-15 发布日期:2010-12-15
  • 通讯作者: 郑春玲

Printing patterns design based on Mandelbrot set in fractal theory

JIANG Huiyu1;ZHENG Chunling2;LIU Suyi3   

  1. 1. College of Chemical Engineering, Wuhan Textile University 2. College of Food Science and Light Industry, Nanjing University of Technology 3. College of Electronics & Information Engineering, Wuhan Textile University
  • Received:2009-09-17 Revised:2010-07-19 Online:2010-12-15 Published:2010-12-15

摘要:

针对传统纺织印花图案构思慢、设计时间长的缺陷,基于分形理论系统,对Mandelbrot集分形图的生成原理和变换方式进行了讨论研究。利用计算机绘图技术,尝试提出一种新的纺织印花设计方法。该方法运用分形理论中的Mandelbrot集变换构造出大量多姿多彩的图案,生成得到了丰富、精美的Julia集图形。在此基础上,借助数码印花实验,对其中的一些图形资源在丝绸印花图案设计开发中的应用进行了初步探讨。结果表明,研究成果非常适用于纺织印花图案的设计,能够快速实现分形图案向数码印花产品的应用转移。

Abstract:

Based on fractal theory and graphical technology of computer, the formation principle and transformation modes of Mandelbrot set were discussed to make up the defaults in traditional fabric patterns design, which required longer conception and design time. And a novel approach for fabric printing pattern design was proposed, thereby abundant fantastic fractal patterns, Julia patterns were obtained by transforming Mandelbrot set. Some of these fractal patterns were applied onto silk products successfully by digital inkjet printing. It is proved that the findings are suitable for printing patterns design of textiles, and the fractal patterns can be rapidly applied to digital printing of textiles.

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