CAJ | 학술논문

分形是近四十年刚刚发展起来的一门新兴学科,隶属于非线性领域,分形能够描述传统数学无法表达的形态如树木、山脉等.千姿万态的自然界构成大部分是无序的、不确定的、也是随机的.而传统的欧式几何学它所描述的对象是规则光滑平整的.那要准确表达自然界中的复杂事物,用传统的几何方法很难描述.人类认识领域开始呼唤产生一种新的能够更好地描述自然图形的几何学----分形几何学.人们形象的把分形几何学称之为大自然的几何学.在分形编程绘图中,迭代函数系统(IFS)的各种算法,依据IFS码可以生成自然景物中的各种分形图.在本文中主要通过IFS码生成分形图的特性研究及IFS迭代规律(分形图生成规律)的研究.
분형시근사십년강강발전기래적일문신흥학과,대속우비선성영역,분형능구묘술전통수학무법표체적형태여수목、산맥등.천자만태적자연계구성대부분시무서적、불학정적、야시수궤적.이전통적구식궤하학타소묘술적대상시규칙광활평정적.나요준학표체자연계중적복잡사물,용전통적궤하방법흔난묘술.인류인식영역개시호환산생일충신적능구경호지묘술자연도형적궤하학----분형궤하학.인문형상적파분형궤하학칭지위대자연적궤하학.재분형편정회도중,질대함수계통(IFS)적각충산법,의거IFS마가이생성자연경물중적각충분형도.재본문중주요통과IFS마생성분형도적특성연구급IFS질대규률(분형도생성규률)적연구.
@@@@Abctrat:Fractal is nearly forty years just to the development of an emerging discipline, it belongs to the field of nonlinear, it makes the traditional mathematics to express the form such as trees, mountains to the expression profile of. The nature of most varied types and poses is disordered, uncertain, is random. But the traditional Euclidean geometry which objects are described by rules is smooth. The accurate expression of the complexity in nature, with the traditional geometric method is difficult to describe. Human understanding of the field began calling for a new can better describe the natural graphics geometry, fractal geometry People image fractal geometry is called the geometry of nature. In the fractal program drawing, iterated function system ( IFS ) algorithms, based on the IFS code can generate natural scenery in a variety of fractal images. In this paper mainly through the IFS code generating fractal characteristics and IFS iterative law ( Law of fractal graph generation ).