分形几何学

在双对数坐标系下，只在一定的标度区间，拟会功率谱与频率的关系才能表示成S（f），亦即将会分形几何学定义。

And only in a certain scaling area in dual logarithmic coordinate sys-tem , can the relation between fitted power spectrum and frequency be expressed as S ( f ), which coincides with the definition of fractal geometry .

本文首先向人们介绍分形几何学理论，即分形图形的数学理论基础，并以三个典型分形集合Julia集、Mandelbrot、N集为例对分形的数学原理做介绍。

Firstly , this thesis introduced fractal geometry theory , namely the foundation of fractal graph mathematical theory , and take three typical fractal collection Mandelbrot , N and Julia sets for example . Secondly , study on fractal graph , made detailed elaboration of fractal .

MIFA法就是一种定量的分形几何学方法。本文应用MIFA法对塔里木盆地塔中地区志留系储层孔隙结构进行了研究。

The MIFA , as a fractal geometry method , is used to study the Silurian reservoir of Tazhong area in this paper .

分形几何学在自然景物计算机模拟中的应用初探

Computer Simulation of Nature Scene with the Method of Fractal Geometry

分形几何学对复杂的地理现象具有特殊的描述能力。

Fractal geometry has a particular ability to describe the complex phenomena .

很自然地，分形几何学被用于地图目标的分析。

Naturally fractal geometry is applied to the analysis of map objects .

基于分形几何学的自然景物虚拟实现的研究

Study on computer simulation of natural scene by fractal approach

分形几何学是近年来新兴的一门学科。

Fractal Geometry has been a new research field in recent years .

这些促使数学家进一步的研究，从而产生了分形几何学。

These mathematicians to further study , which had a fractal geometry .

基于分形几何学的图像信息表示及其应用研究

Fractal Geometry on Image Information Representation and Its Application

基于分形几何学的区域公路网布局评价指标的研究

Research on Evaluation Index of Regional Highway Network Layout Based on Fractal Geometry

分形几何学在微构造研究中的运用

Application of fractal theory in the study of micro-structure

分形几何学在医学图像处理中的应用

Fractal geometry and its application to medical image processing

中国的城市化水平有多高？&城市地理研究为什么要借助分形几何学？

What is the urbanization level of china ?

用分形几何学来研究聚合物水泥混凝土的断裂性能，分析乳液改性混凝土的强度。

The fracture behaviors of polymer cement concrete is studied by using fractal geometry .

分形几何学在储层非均质性描述中的应用

Application of fractal geometry in description of heterogeneity

断层分形几何学在判定强震危险区中的应用前景初探

Preliminary discussion on applying fault fractal geometry to determine the strong earthquake risk area

利用分形几何学对土地利用类型分维公式进行了应用分析。

Evapotranspiration and infiltration under different land use patterns in the regions with sodic saline soil ;

用分形几何学方法对遥感数据进行了分析，从而定量解释遥感影像。

Remote sensing data was analyzed by fractal geometry method to quantitatively explain remote sensing images .

采用统计学和分形几何学方法对岩石滑动表面的表面形貌进行了定量表征。

The surface topography of rock sliding surfaces is characterized with statistic parameters and fractal dimensions .

研究了基于分形几何学的图像纹理信息表示在纹理图像分割中的应用。

Image texture information representation based on Fractal Geometry and its application in texture image segmentation is researched .

于是，人们需要新的几何语言，芒德勃罗创立的分形几何学应运而生。

And then people need a new geometrical language and Benoit Mandelbrot 's fractal geometry came into being .

分形几何学在物理学、生物学上的应用也正在成为有充实内容的研究领域。

Fractal geometry in physics , biological applications have enriched the content is becoming a field of study .

应用分形几何学的原理和方法对木榄幼苗的形态特征和生物量进行了研究。

By the use of the principles and methods of fractal geometry , the morphological character and biomass of ?

分形几何学是目前研究的一个热点，其中的自相似图形可以模拟自然界中的一些现象。

In fractal geometry , as a hot research area , self-similar graphs can simulate some of natural phenomena .

分形几何学利用自然景物本身存在的自相似性，通过多种分形造型方法对自然实体进行建模，适用于自然景物建模。

Fractal geometry uses the self-similarity of nature to model the nature entity through a variety of fractal modeling .

引用岩体力学方法和分形几何学，用强度因子和分形维数对煤体变形进行定量评价。

Quoted rock mechanics and fractal geometry , used strength coefficient and fractal dimension quantitatively evaluated the deformation of coal .

分形几何学理论在沉积体定量建模和模拟方面具有较好的应用前景。

The fractal geometry theory will be relatively well applied to the quantitative modeling and simulation of the sedimentary bodies .

分形几何学除了研究线性分形外，还研究具有自反转性质的不规则图形的非线性问题。

The fractal geometry includes not only the linear fractal problems , but those non-linear ones of irregular figures with self-reverse .

作为现代数学的一个新兴分支，分形几何学是相对于传统欧氏几何学的不足而建立的。

As a new branch of modern mathematics , fractal geometry was created because of the inadequacy of traditional Euclidean geometry .