電腦碎形的色彩分析

Abstract

在目前，於碎形理論的研究在各個學門上都已經具有相當的成果．碎形的 分數維度 自我相似及無限延展的特性，在工程的應用上，科學家們常以 碎形來作為解決問題的一種方法；而在電腦繪圖的領域之中，往往被應用 於模擬及再現自然的現象．然而在對於電腦碎形所衍發而生的美學問題上 ，卻很少有人對之加以探討．因此本論文希望針對電腦碎形上色彩方面的 問題加以探究和分析．對於未來電腦繪圖的研究上，本論文主要的貢獻是 針對碎形不同的數學特性所形成的圖形色彩，就其配色上的調和與否進行 分析和研究，使碎形在電腦繪圖藝術的領域之中能有具體的應用方式． Fractal have recently become the focus of intense research in many field.However, the aesthetic problems of fractals are rarely discussed.The main purpose of this research was to identify the factors affect fractals images semantic. The research procedures used in this study consisted two phases.The first phase was to explore the basic theory of fractals and related color theory.The second phase was to investigate colors semantic of fractals by using Semantic Differential technique. Factor Analysis was utilized for data analysis. To future researches in computer graphics,the main contribution of this research was the analysis and researches on the harmony of color-matching about the image color derived from different mathematical formulas.That makes it possible to the field computer graphic arts.