查询词典 fractal

A method for the generation of Weierstrass fractal surface is presented,based on Helmholtz equation,with the Kirchhoff approximation,the calculus formula of light scattered field on the 1-D Weierstrass fractal suface is deduced.

采用Weierstrass分形函数模拟实际粗糙表面，从简谐光波满足的亥姆荷兹方程出发，利用基尔霍夫近似推导出一维Weierstrass分形粗糙表面的光散射场的积分公式，考虑遮蔽效应后数值计算并分析了表面散射光强的角分布特性。

The two fractal parameters (amplitude B and fractal dimension D) in the new model represent the roughness of primary and higher order asperities of stationary profiles, respectively.

接着在节理表面形状的精确测定基础上，根据分形理论的变量图法，建立了描述岩石节理表面几何形状的新的分形模型。

In order to determine the fractal dimension of the interface, structures with different rotation radii are set in the transition region. By using above regulation, the number of surface molecules of each rotation structure with certain radius can be obtained, then correlate these molecule numbers with the corresponding radii, in a logarithmic coordinate system the asymptotic slope of the correlated curve is the fractal dimension of the liquid-vapor interface.

为了确定界面的分形维数，在气液过渡区中作出不同回转半径的结构，利用（2～5）/1.2r〓规则找出其中所包含的气液界面上的分子数，然后将这些分子数与回转半径关联，在双对数坐标中此关联曲线的渐近斜率便是气液界面的分形维数。

At last, in term of the before-mentioned basic steps of generated algorithm, the computer conformation of general J-M fractal images is realized using the Visual C++ programming, and large numbers of fractal images are obtained.

最后，文章根据所得出的生成算法基本步骤，通过Visual C++编程实现了广义J-M分形图的计算机生成，同时生成了大量的实验图形。

The fractal Brownian motion is one of the most effective mathematics models for describing fractal features of natural scenery.

分形布朗运动是描述自然景物分形特征最有效的数学模型之一。

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

Set of the fractal supply chain similarity and self-similarity measuring index and mathematical model based on fractal method to analyze similarity were presented.

给出了分形供应链的相似性及自相似性评价指标集及基于分形方法的定量分析相似度的数学模型。

The author used the fractal dimension method to calculate the texture fractal characteristics of meteorological cloud pictures with the methods of Sarkar and Chaudhuri.

气象卫星云图的识别主要集中在图像纹理分析上，图像纹理除了包括灰度信息外，还包含了结构信息应用70年代由曼德尔勃罗特Mandelbrot提出的分数维的概念，对图像纹理进行的分析表明，分数维是图像纹理的复杂度与粗糙度的变量作者将Sarkar和Chaudhuri的分数维计算方法应用于纹理分形特征的计算，取得了较好的效果

In this paper, the fractal theory in computer graphics applications, Fractal - based simulation of natural phenomena technical studies on coniferous tree leaves generation simulation technology.

本文研究了分形理论在计算机图形学中的应用，基于分形的自然景物模拟技术研究中关于松柏科树叶模拟生成技术。

Then fractal theory is introduced to configure these patterns on the basis of two distinct methods-Pythagoras tree design and Curlicue Fractal design.

最后介绍了根据文中方法设计的墙绘图案设计系统PaintDesigner，将其在3D环境中进行模拟的效果良好。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。