测地距离

For three-dimensional grid model, for angle distance and geodesic distance.

详细说明：对于三维网格模型，求角距离和测地距离。

Based on geodesic distance invariance of nonlinear reduced dimension algorithm source code, the text published...

基于测地距离不变性的非线性降维算法源码，原文发表在2000年的Science杂志上，需要了解具体原理者请先看其论文。

During the simulation, themost important problem is to compute the geodesic distance as fast and exactly as possible. We modify the approximating method and make it work for the concave andmultiple sources.

在这个模拟方法中，使用了改进的近似快速计算三角网格上测地距离的方法，使之能处理凹面及多源点的情况。

In order to describe the topology relationship of an environment better, a geodesic distance is substituted for a Euclidean distance used in an ordinary Gaussian function and a policy iteration reinforcement learning method based on geodesic Gaussian basis function is proposed.

为更好地描述环境的拓扑关系，采用测地线距离来替换普通高斯函数中的欧氏距离，提出一种基于测地高斯基函数的策略迭代强化学习方法。

Firstly, Geodesic distance is introduced to overcome the weakness of Euclidean distance. Then, neighborhood rough set model is introduced to make full use of neighborhood local information and also can avoid the discrete process of numerical attributes.

最后将一个二进制DE算法运用到特征选择，为了设计合理的适应度函数，本文首先针对基于欧氏距离类内类间评价函数的不足，引入流形中的测地线距离，力求保持数据集内在特性的基础上，提出了一个基于测地距离的适应度函数。

Feature Selection, Differential Evolution, Fuzzy Logic Controller,Geodesic distance,Neighborhood Rough Set Model

中文关键词：特征选择，差分演化算法，测地距离，邻域粗糙集模型

Using geodesic distance to discover the intrinsic geometry of the manifold,the geodesic Gabriel graph was constructed to locate the critical local regions where the local linear discriminants would be learned.

利用测地距离表征流形的内在几何结构，由此构造测地Gabriel图确定异类数据相互靠近的局部临界区域，进而训练得到局部线性的判别器。

Isomap is one of the representative techniques of nonlinear dimensionality reduction.It extends classical multidimensional scaling by considering approximate geodesic distance. However,Isomap is sensitive to noise because the approximate geodesic distance is constructed on the basis of Euclidean distance. In this paper,a kernel-induced distance metric defined in the feature space is introduced instead of the Euclidean distance to evaluate the geodesic distance and construct the corresponding neighborhood graph.

采用核方法在特征空间推导出一类异于欧氏距离的新度量，代替等度规特征映射中的对噪声敏感的欧式距离，用新度量构造测地距离和相应的最小近邻图，提高Isomap算法的抗噪声能力。

First, each shape is represented by the eigenvectors of an appropriately defined affinity matrix based on approximated geodesic distance, forming a spectral embedding which achieves normalization against rigid-body transformations, uniform scaling, and shape articulation (i.e., pose changing). This procedure is called the pose-oblivious transform.

首先，针对每一个形状都基于谱嵌入的方法求得其相应的谱嵌入表示，这里的谱嵌入是基于以近似测地距离为基础构造出的仿射矩阵的特征向量得到的，这一过程称为姿态无关变换，经过这一变换，模型的形状的描述符就具备了刚体变换不变、均匀缩放不变和姿态无关的特性。

We propose a special effect algorithm for simulating water-wave on a modelsurface. In our scheme, we use a damped sinusoidal function based on the geodesicdistance so that the correct simulation can be obtained.

采用基于测地距离的带阻尼的正弦波函数，提出一个在模型表面上模拟水波运动的方法，实现了一种水波特效。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。