查询词典 conformal geometry

Based on conformal mapping and differential geometry theory,a triangular mesh parametrization method by optimizing deformation energy is proposed in the paper.

本文首先基于保形映射和微分几何相关理论，定义了一种统一衡量参数化的角度变形和面积变形的变形能量。

Support vector machines ; model selection ; Riemannian geometry ; conformal transformation ; Chinese character recognition

支持向量机；模型选择；黎曼几何；保角变换；汉字识别

The essential features of the algorithm are as follows: A kernel modification algorithm is constructed according to the conformal mapping of information geometry and the modified kernel function is subsequently used to train the classification algorithm in support vector data description.

该算法的核心思想为：根据信息几何中保角映射的方法构造数据驱动的核函数修正算法，然后再利用修正的核函数训练支持向量数据描述分类算法。

On the other hand,the conformal deformations problem is to find a metric on H2(-1), conformal to g,with the given function K as its Gaussian curvature ,that is,it is important for us to study the solvability of the conformal Gauss curvature equation in geometry analysis.

e~(2u)g，它的高斯曲率函数K满足共形高斯曲率方程Δ_gu+1+Ke~(2u)=0。另一方面，对H~2(-1)上预先给定的一个函数K，共形形变问题-寻找g的共形度量=e~(2u)g使K是的高斯曲率，即共形高斯曲率方程的可解性研究是几何分析中的一个重要问题。

Based on the Riemannian geometry theory, a novel conformal transformation was proposed and the kernel function was modified by the transformation in a data-dependent way.

以黎曼几何为理论依据，提出了一种新的保角变换，对核函数进行数据依赖性改进，进一步提高分类器泛化能力。

In 1986, R.D.Cook proposed differential geometry to assess local influence of minor perturbations of linear statistical models. Poon and Poon(1999) constructed a conformably invariant curvature , the conformal normal curvature, for the same purpose.

Cook(1986)用微分几何的方法评估了线性统计模型微小扰动的局部影响，Poon and Poon(1999)改进了Cook提出的统计曲率概念，定义了保形法曲率。

A method of the surface combination based on classification or Euler Operation and the computation of the surface boundaries of a surface is offered to finish the geometry mapping of surfaces between half-edge model and the closed_shell branch of manifold surface model. Moreover, the concepts of conformal-shape geometrical mapping and topological mapping are given. The bi-directional conformal-shape topological mapping between half-edge model and the closed_shell branch of manifold surface model is proved.

提出了一种基于等价分类和欧拉操作的面片合成和曲面边界计算方法，完成了半边模型到流形曲面模型closed shell枝的曲面几何映射；给出了保形几何和保形拓扑映射概念，证明了半边模型到流形曲面模型的closed_shell分枝的双向保形拓扑映射。

Two novel conformal transformations were proposed based on the Riemannian geometry theory and S.

以黎曼几何为理论依据，基于S。

This paper first discusses the nature of the kernel function,and then based on Riemannian geometry dependent on the data structure and method,an improved modifying kernel function is proposed,the kernel function is a simple and less calculation method,which conformal factor and support vector irrelevant,compared with previous studies overcomes the impact of support vector's number and distribution.

首先讨论核函数的本质，并且基于黎曼几何结构和数据依赖的方法，提出了一种改进的修正核函数，改进后的核函数形式简单，计算量较低，其中保形因子与支持向量无关，较之于以前的研究克服了支持向量的数目和分布的影响。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。