分形应用的数学基础与方法。
任何多边形都可定义为一组三角形的集合，因此三角形在3d实现中应用十分广泛。
Triangles are popular with 3d implementations because you can define any polygon as a set of triangles.
分形几何在土壤学中的应用及其展望。
Application of Fractal Geometry in Pedology and its Prosptects.
他们还讨论了识别模式的应用广泛，包括了激光器的研究动态行为的机械零件的使用范围，并分形几何。
They also discuss a wide range of applications, including the use of lasers for studying dynamic behavior of mechanical components, and fractal geometry for recognizing patterns.
应用分形理论来研究地球物理现象，是近年来地球物理学研究中的新方法和新思路。
It is a new method and tendency in geophysics to apply the fractal theory to study geophysical phenomena.
随着分形概念及理论的广泛应用和向分子生物学的渗透，人们从单个蛋白质的研究上升到对蛋白质网络的研究。
Along with the widespread of fractal concept and theory and its application in molecular biology, the research has been richened from the single protein to the protein network.
根据矿床储量的统计自相似性，应用概率统计方法建立了矿床储量规模的分形模型。
Based on statistical self-similarity of reserves of ore deposits and applying the methods of probability and statistics, a fractal model of reserve-size was established.
应用分形几何理论，研究了推土机性能分布的分形特征。
The fractal characteristic of the bulldozer performance distribution is studied with the fractal theory.
目前，这种分析方法已经广泛应用于信号处理、图像处理、量子场论、分形理论等领域。
At present, such an analysis method has been widely used in signal processing, image processing, quantum field theory, fractal theory and other fields.
单一分形在测井解释方面已有许多应用。
There are many applications of fractals in logging interpretation.
本文还对高浊度水的再絮凝现象进行了描述，简述了分形理论在絮凝中的应用。
It depict the phenomenon of second flocculation of high turbidity water, depict the apply of fraction in brief.
应用分形理论来研究石油地质现象，是近年来地质学研究中的新方法和新思路。
It is a new method and tendency in geology to apply the fractal theory to study petroleum geological phenomena.
本文的某些观点对于分形在其它学科中的应用，也颇有益处。
These viewpoints in this paper will have special meaning for applications of fractal to other fields.
本研究为分形曲线的生成和实践应用提供了理论依据。
The study provides a basis for both the generation and practical applications of fractal curves.
针对汽车发动机振动信号的非线性特点，将分形理论应用于发动机的故障诊断。
By researching the characteristic of automobile engine, the fractal theory was used to diagnosis the fault of engine.
本文研究曲线曲面分形逼近的数学模型及其简单应用。
This thesis studies modeling and the simple application of the fractal approximation of curves and surfaces.
分形技术已被许多研究者应用于图像编码。
Fractal techniques have been used to encode images by many researchers recently.
介绍了分形理论的基本内容，概述了分形设计的特点，描述了分形设计在商标和标识设计中的作用和应用。
This article Introduces the basic content of the Fractal theory, summarizes its characteristics, and describes its effect and application in label and logo design.
人们所熟知的常用以代替分形维数的各种度量将在分维谱意义下加以统一，最后讨论多重分形及其分维谱的应用。
The usual fractal dimensions familiar to all us will be united by the multifractal dimension spectrum. Finally, the applications of the multifractal and its dimension spectrum will be discussed.
这对于分形测井解释软件的研究开发和推广应用将起到一定的促进作用，并为分形测井解释的现场应用创造有利条件。
So it would make the study, development and spreading of the fractal log interpretation software advance and create the good conditions for its field applications.
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?
介绍了分形和分形维数在催化剂研究中的应用。
Fractal and fractal dimension theories applied on catalysts were introduced in this paper.
应用变维分形的方法描述了海工结构的几种变形和应力状态。
Several deformation and stress states of offshore structures are described by using variable dimension fractals.
进一步将多重分形的方法应用到对这些表面的分析中，发现多重分形谱可以全面反映表面概率的分布特征。
Multifractal method is further used in the analysis of surface. It is found that multifractal spectrum can reflect the overall characteristic of the distribution of probability of a surface.
论文讨论了分形与混沌、分形与小波之间的关系，简要介绍了分形在数字图像水印技术中的应用。
In the dissertation, author discusses the relations of fractal with chaos and of fractal with wavelet, and introduces briefly the application of fractal in digital image watermarking techniques.
通过分析可得，分形技术是实现复杂雕刻图形自动生成的重要途径之一，在雕刻艺术中，分形技术有广泛的应用前景。
Based on its analyses, the fractal technique is an important way for automatic generation of complex engraving graphics, it will be very useful in the field of art carving.
本文从研究可钻性时间序列特征出发，应用分形几何方法，分析了可钻性时序的可预测性。
In this paper the predictability of drillability time series was analyzed using fractal method based on the study of drillability time series characters.
应用分形理论计算的埕北30太古界潜山储集体花岗片麻岩和煌斑岩岩心构造裂缝的分维数分别为1。
Using calculation of fractal theory, the fractal dimensions of the core structure fracture in granite gneiss and lamprophyre in Chengbei 30 Archaean group buried hill reservoir are1.
应用分形理论计算的埕北30太古界潜山储集体花岗片麻岩和煌斑岩岩心构造裂缝的分维数分别为1。
Using calculation of fractal theory, the fractal dimensions of the core structure fracture in granite gneiss and lamprophyre in Chengbei 30 Archaean group buried hill reservoir are1.
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