【摘要】： 分形理論是近幾十年才開始興起和發(fā)展的一門學科,其主要描述自然界和非線性系統(tǒng)中不光滑和不規(guī)則的幾何形體。它在許多領域都有很廣泛的應用,如數(shù)學、物理、化學、材料科學、生物與醫(yī)學、地質(zhì)與地理學、地震和天文學以及計算機科學等。因此對分形理論的研究既具有理論意義,又具有非常廣泛的實際應用價值。 本文主要研究分形理論在計算機科學上的應用,特別是在計算機圖形繪制方面的實際應用。在了解分形理論的基本知識和分形幾何的維數(shù)的基礎上,對分形圖形的算法作了總結。以VB6.0作為軟件開發(fā)的工具,實現(xiàn)了對一些經(jīng)典分形圖的繪制,在計算機上實現(xiàn)了牛頓迭代分形圖、Koch曲線、Sierpinski墊片,Mandelbrot集、分形樹等經(jīng)典分形圖形。通過對一些參數(shù)的修改,從而改變分形圖的形狀,位置,顏色等屬性。在此基礎上實現(xiàn)了分形圖形的中文處理界面,可以對生成的分形圖形作合成,特效,旋轉等一系列處理,使其更好的應用到實際當中去,最后將生成的分形圖形以BMP或JPEG圖片格式保存到電腦硬盤中。 將分形理論應用于計算機圖形設計,生成了許多絢麗多彩的分形圖形,計算機與藝術很好的結合在一起,在時裝設計、家具設計、廣告設計等領域都有廣闊的圖形設計空間。
[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.
【學位授予單位】：西安科技大學
【學位級別】：碩士
【學位授予年份】：2008
【分類號】：TP391.41

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本文編號：2357572