查询词典 conformal representation

Space curve is one of the basic elements in geometric modeling, and its effective representation is the basis of modeling. Parametric representation based on features is a kind of high-level representation including semantic information. In Chapter 4, para- metric representations based on features for free form space curve are investigated, and a parametric model for the loop of plain knitted fabric is established, in which 5 parameters with practical meanings are used to represent the shape of a loop and the relationship between loops. A new shrinkage prediction method for knitted fabric are proposed based on the parametric representation and energy minimizing. Experimental results on some plain knitted fabrics illustrate the feasibility of the proposed method.

空间曲线是造型中最基本的几何元素之一，对其有效的表示是造型的基础，而特征参数化表示是其中一种包含语义信息的高层次表示，本文对空间自由曲线的特征参数化表示进行研究，建立了一种针织物线圈的特征参数化几何模型，采用5个具有实际意义的参数表示织物线圈的几何形状及线圈之间的位置关系，并将该模型与能量极小化的方法相结合，得到了一种能较好地预测针织物缩水率的新模型，对随机选取的一些针织布缩水预测实验表明了算法的可行性。

Supported by the National Science Foundation of China, this thesis concentrates on the image sparse representation theories, methods and the image processing applications based on sparse representation. We make deeply study for the applications based on multiscale geometry analysis, theories of overcomplete sparse image representation and its applications, theories of sparse image representation via combined transforms and its applications.

本文在国家自然科学基金项目&联合基图像稀疏表示理论研究及其应用&的资助下，针对图像稀疏表示理论、方法以及基于稀疏表示的图像处理应用问题，重点围绕多尺度几何分析在图像处理中的应用、基于冗余字典的超完备图像稀疏表示理论及应用、组合变换图像稀疏表示理论及应用等内容进行了探索性的研究。

The content of this course is: analytic function (the definition of analytic function, elementary functions, etc.), conformal mapping (the definition if conformal mapping, fractional linear functions, elementary mappings, etc.), complex integration (Cauchy's integral formula, Cauchy's theorem, etc.), Series (Laurent Series, singularities, local property, etc.), residues and its applications (the Residues Theorem, integration by residues, the Argument Principle, the Maximum Principle, Schwarz's Lemma, etc.), analytic continuation and harmonic functions, etc.

本课程内容主要包括：解析函数(解析函数的定义、初等函数等)、共形映射(共形映射的定义、分式线性变换及初等映射等)、复积分(Cauchy 积分公式、 Cauchy 定理等)、级数(Laurent 级数、孤立奇点、局部映射等)、留数及其应用(留数定理、利用留数计算积分、幅角原理、最大模原理、 Schwarz 引理等)、解析开拓和调和函数等内容。

We then introduce a conformal invariant quantity which is formulated in terms of the square of the length of the trace free part of the second fundamental form and the mean curvature, and prove that if this quantity is bounded above by that value of the Clifford torus then x is either a totally umbilical sphereor a conformal Clifford torus.

接著我们介绍一个由第二基本型式迹为零部份的张量长度平方与平均曲率形成的保角不变量，并证明此保角不变量的上界若为Clifford环面之值，则x不是全脐球面就是Clifford环面的保角类。

This will produce errors. In this dissertation, We introduced conformal mapping technology into FDTD algorithm in order to develop new conformal-mapping-FDTD algorithm.

本文将保角变换与FDTD算法相结合，形成保角变换FDTD算法，并将其应用于特殊截面波导和传输线导波问题的计算中。

In this paper, the theory and method of polynomials for conformal projection transformation and their application in CAC and in the construction of GIS are systematically discussed. Also introduced is the programme package in BASIC and FORTRAN for conformal projection transformation.

本文系统地讨论了等角投影变换的正形变换多项式的理论、方法及其在计算机制图和地理信息系统建设中的若干应用问题，并同时介绍了《等角投影变换BASIC、FORTRAN程序软件包》的有关内容。

Schwartz mapped the interior of each fluid cycle in the physical plane into an annulus of unit outer radius in the mapping plane according to the conformal transformation. And the perturbation theory is the main way of solving conformal parameters.

L.W.Schwartz的关于定常二维非线性波算法的主要思想是为了利用已知速度势的解析解，将一个波长的自由表面同底部所限定的流域采用合适的保角变换函数变换为映射平面上一圆环，在求解保角变换函数的变换系数时采用摄动理论进行求解。

It is a new direction of development we use the conformal PBG structure in the conformal antenna.

本论文研究了共形PBG结构的带阻特性；将共形PBG结构应用于共形微带天线。

Compared to other conformal antennas, the cylindrically conformal microstrip antenna has a relatively simple structure.

圆柱共形微带天线是共形天线中结构较为简单的一种。

In this paper, we introduces discrete Ricci flow as an efficient and powerful mathematics tools, by which we can computer conformal metric and conformal structure of the surface.

本文引入离散的Ricci流方程这个强大的数学工具，成功地计算出了曲面的共形度量和共形结构。

I want to be a big fish in a small pond.

我要做一条在小池塘里的大鱼。

While the software functioned well, we did not feel the same about their customer support!

虽然该软件运行良好，我们没有同样的感觉他们的客户支持！