基于分形理论的图形设计研究与应用
发布时间：2018-11-25 22:39
【摘要】： 分形理论是近几十年才开始兴起和发展的一门学科,其主要描述自然界和非线性系统中不光滑和不规则的几何形体。它在许多领域都有很广泛的应用,如数学、物理、化学、材料科学、生物与医学、地质与地理学、地震和天文学以及计算机科学等。因此对分形理论的研究既具有理论意义,又具有非常广泛的实际应用价值。 本文主要研究分形理论在计算机科学上的应用,特别是在计算机图形绘制方面的实际应用。在了解分形理论的基本知识和分形几何的维数的基础上,对分形图形的算法作了总结。以VB6.0作为软件开发的工具,实现了对一些经典分形图的绘制,在计算机上实现了牛顿迭代分形图、Koch曲线、Sierpinski垫片,Mandelbrot集、分形树等经典分形图形。通过对一些参数的修改,从而改变分形图的形状,位置,颜色等属性。在此基础上实现了分形图形的中文处理界面,可以对生成的分形图形作合成,特效,旋转等一系列处理,使其更好的应用到实际当中去,最后将生成的分形图形以BMP或JPEG图片格式保存到电脑硬盘中。 将分形理论应用于计算机图形设计,生成了许多绚丽多彩的分形图形,计算机与艺术很好的结合在一起,在时装设计、家具设计、广告设计等领域都有广阔的图形设计空间。
[Abstract]:Fractal theory is a subject that began to rise and develop in recent decades. It mainly describes the non-smooth and irregular geometric bodies in nature and nonlinear systems. It has a wide range of applications in many fields, such as mathematics, physics, chemistry, material science, biology and medicine, geology and geography, earthquake and astronomy, and computer science. Therefore, the study of fractal theory has both theoretical significance and practical application value. This paper mainly studies the application of fractal theory in computer science, especially in the practical application of computer graphics drawing. On the basis of understanding the basic knowledge of fractal theory and the dimension of fractal geometry, the algorithm of fractal graphics is summarized. With VB6.0 as the software development tool, some classical fractal graphs are drawn, and Newton iterative fractal graph, Koch curve, Sierpinski gasket, Mandelbrot set, fractal tree and other classical fractal graphs are realized on the computer. By modifying some parameters, the shape, position and color of fractal image are changed. On this basis, the Chinese processing interface of fractal graphics is realized, and a series of processing, such as synthesis, special effect, rotation and so on, can be made on the generated fractal graphics, so that it can be better applied to practice. Finally, the generated fractal graphics are saved to the computer hard disk in BMP or JPEG format. The fractal theory is applied to computer graphic design, and many colorful fractal graphics are generated. The computer and art are well combined together, and there is broad graphic design space in fashion design, furniture design, advertising design and so on.
【学位授予单位】：西安科技大学
【学位级别】：硕士
【学位授予年份】：2008
【分类号】：TP391.41
[Abstract]:Fractal theory is a subject that began to rise and develop in recent decades. It mainly describes the non-smooth and irregular geometric bodies in nature and nonlinear systems. It has a wide range of applications in many fields, such as mathematics, physics, chemistry, material science, biology and medicine, geology and geography, earthquake and astronomy, and computer science. Therefore, the study of fractal theory has both theoretical significance and practical application value. This paper mainly studies the application of fractal theory in computer science, especially in the practical application of computer graphics drawing. On the basis of understanding the basic knowledge of fractal theory and the dimension of fractal geometry, the algorithm of fractal graphics is summarized. With VB6.0 as the software development tool, some classical fractal graphs are drawn, and Newton iterative fractal graph, Koch curve, Sierpinski gasket, Mandelbrot set, fractal tree and other classical fractal graphs are realized on the computer. By modifying some parameters, the shape, position and color of fractal image are changed. On this basis, the Chinese processing interface of fractal graphics is realized, and a series of processing, such as synthesis, special effect, rotation and so on, can be made on the generated fractal graphics, so that it can be better applied to practice. Finally, the generated fractal graphics are saved to the computer hard disk in BMP or JPEG format. The fractal theory is applied to computer graphic design, and many colorful fractal graphics are generated. The computer and art are well combined together, and there is broad graphic design space in fashion design, furniture design, advertising design and so on.
【学位授予单位】：西安科技大学
【学位级别】：硕士
【学位授予年份】：2008
【分类号】：TP391.41
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