混沌分形图在软装饰艺术设计中的应用研究

发布时间：2018-03-16 22:39

本文选题：艺术图案　切入点：混沌　出处：《沈阳建筑大学》2015年硕士论文　论文类型：学位论文

【摘要】：分形(Fractal)是在二十世纪70年代兴起的最重要的非线性科学之一,曼德尔布罗特(Mandelbrot)通过数学公式迭代和计算机编程技术构建了以自己名字命名的Mandelbrot集,分形理论由此产生。分形理论是一种新型的数学语言,可以用于对大自然几何图形的描述,可以在分形理论指导下,由计算机程序生成多种多样的既具有审美价值又具有科学内涵的艺术图案和动画。随着新世纪计算机科学技术的飞速发展,尤其是计算机图形学功能的更加强大,分形理论的产生促进了各种计算机可视化研究的开展。使用混沌分形思想产生的混沌吸引子图案引起了数学家、计算机科学工作者、纺织服装设计者、平面广告设计者和建筑艺术家等许多领域产品设计者的浓厚兴趣。将绚丽多彩的分形图案应用在产品外观设计上自然就成为了大众关注的一个热点话题。随着人们物质生活水平和精神生活质量不断地提高,审美情趣的表达也逐渐发生改变,人们开始需要自我感知和个性追求,这就迫使设计者必须不断追求产品的创新。日常软装饰作为生活的必需品,伴随着人们生活的每一天。家庭软装饰的设计可以提升人们生活的质量,因此,日常软装饰设计创新已成为设计师的主要任务之一。分形图案是一种复杂和千变万化的艺术图案,能促进产品设计工作者产生丰富的灵感,也能为日常软装饰的创新设计注入新的活力和新的血液。本文在借鉴前人研究分形和日常软装饰设计理论成果的基础上采用理论研究、设计分析及实验研究等方法,以装饰图案为线索,根据混沌分形图的审美特点,探讨混沌分形图在日常软装饰产品外观设计中的装饰应用。本文的主要研究成果如下：(1)通过对混沌和分形基本理论的简要阐述,从分形角度出发,对典型分形理论思想下产生的计算机模拟实现的艺术图案进行研究和分析。(2)对已存在的传统性日常软装饰图案进行研究讨论,解析混沌与分形图案中存在的独特节奏和审美特征,通过混沌分形的自相似性特点,阐述装饰设计图案对产品设计外观的重要作用。(3)在本文中,使用Adobe PS图象处理软件、SketchUp Pro与3DMAX等设计软件,运用分形自相似思想进行设计实践,设计、制作出了具有双曲对称特性的12生肖图案的灯罩。
[Abstract]:Fractal Fractalis is one of the most important nonlinear sciences that rose in 1970s. Mandelbrot has constructed a Mandelbrot set named after himself by means of mathematical formula iteration and computer programming techniques. Fractal theory is a new mathematical language, which can be used to describe the geometry of nature, under the guidance of fractal theory, With the rapid development of computer science and technology in the new century, the functions of computer graphics have become more powerful. The emergence of fractal theory has promoted the development of various computer visualization studies. The chaotic attractor pattern produced by using chaos fractal theory has aroused mathematicians, computer scientists, textile and clothing designers, Graphic advertising designers and architectural artists and many other areas of product designers keen interest. The application of colorful fractal patterns in product appearance design has naturally become a hot topic of public concern. Our standard of living and the quality of our spiritual life are constantly improving, The expression of aesthetic taste also gradually changed, people began to need self-perception and personality pursuit, which forced designers to constantly pursue product innovation. Daily soft decoration as a necessity of life, With every day of people's lives. The design of family decoration can improve the quality of people's lives, so, Daily soft decoration design innovation has become the main designer Ren Wuzhi. Fractal design is a complex and ever-changing art pattern, which can promote product designers to produce rich inspiration. It can also inject new vitality and new blood into the innovative design of daily soft decoration. Based on the previous research on fractal and the theoretical achievements of daily soft decoration design, this paper adopts the methods of theoretical research, design analysis and experimental research, etc. Taking decorative patterns as clues, according to the aesthetic characteristics of chaotic fractal images, This paper discusses the application of chaos fractal in the design of daily soft decoration products. The main research results of this paper are as follows: (1) the basic theory of chaos and fractal is briefly described, and from the fractal point of view, the main research results of this paper are as follows:. This paper studies and analyzes the artistic patterns realized by computer simulation under the thought of typical fractal theory) and discusses the existing traditional soft decorative patterns of daily life. By analyzing the unique rhythm and aesthetic characteristics of chaotic and fractal patterns, this paper expounds the important role of decorative design patterns in product design appearance through the self-similarity of chaotic fractal patterns. Using Adobe PS image processing software, such as SketchUp Pro and 3DMAX, the design practice is carried out by using fractal self-similarity idea, and the 12 zodiac zodiac patterns with hyperbolic symmetry are designed and fabricated.
【学位授予单位】：沈阳建筑大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TU238

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