Digital Design Method Based On Fractal Geometry

Fractal geometry is a new subject that has developed rapidly in recent decades and is a subject that studies irregular geometry.It can be used to describe objects that cannot be described by traditional geometry in nature,which has broad development space and application prospects.At the same time,the combination of fractal geometry and computer graphics provides an effective method for the digital generation and drawing of fractal graphics.The traditional pattern design method has been unable to adapt to the intelligent upgrade of China's printing and dyeing industry.Fractal graphics have injected fresh blood into the design of patterns,and digital design can adapt to the intelligent upgrade of China's printing and dyeing industry.With the development of China's economy,people's consumption concepts are changing,and personalized customization of patterns has gradually become the goal pursued by people.People are not only satisfied with getting colorful fractal graphics,but also want to understand the generation technology of fractal graphics.Hope to personally participate in designing fractal patterns of different styles and layouts.It is hoped that through the interactive interface in computer software,key parameters of fractal graphics can be changed to generate different fractal graphics and fractal graphics with different rendering styles.Based on the fractal theory and supported by computer technology,this paper studies the digital design of patterns based on fractal geometry,style transfer,neural networks,etc.The main research contents are as follows:1.For traditional manual patterns,perform fractal feature analysis,introduce iteration function system(IFS),L-system,linear change,transformation function and other technologies,and propose an automatic method for generating flower patterns based on fractal geometry.The parametric representation of flower pattern and layout is studied,and the effective value range of each parameter is obtained through experiment and analysis,so as to realize the digital design of traditional manual pattern.2.Using the automatically generated graphics based on fractal geometry as content graphics,determine style graphics,introduce style transfer technology,construct a convolutional neural network model,and propose a mask-based local style transfer algorithm for graphics.Form a graphic rendering method based on style transfer,and conduct experimental analysis to achieve graphic style transfer and further improve the digital design of graphics.3.Design and develop a digital design system based on fractal geometry.The system includes functional modules such as a pattern generation module,a style graphics module,a style migration module,and a human-computer interaction module.Based on the above theories and methods,the system can automatically generate a series of different patterns through human-computer interaction,and the characteristics of the original batik patterns and the characteristics of the system generated batik patterns are compared and analyzed,the results show that it can effectively simulate the traditional manual patterns.