tangent space

By the local tangent space representation theorem, distances between the test point and local tangent spaces were directly computed from sample dataset.

利用流形的局部切空间表示，直接从样本集出发求出测试样本到各局部切空间的距离，在这一度量上用近邻法进行分类。

With the introduction of tangent space and normal space, the controls of motion and forces of robot are decoupled and the control system is simplified.

通过引入法空间及切空间的概念，实现了机器人运动及力的解耦控制，从而简化了控制系统。

By means of uniting geometry with algebra, the arc length, tangent line, cotangent space and curvature of curve in four dimensional space are investigated, and the corresponding calculation formula in each cases are given.

用形数结合的观点研究了四维空间中曲线的弧长、切线、法空间和曲率问题，并给出了其计算公式。

Parallax mapping uses the concept of tangent space in the same manner.

视差贴图同样使用了这样的切线空间的概念.

The precise tangent stiffness matrix of space cable element is derived in this paper by using equilibrium equation.

本文采用状态平衡方程推导出用超越函数表示的空间索单元切线刚度矩阵的精确表达式。

Based on nonlinear finite element theory, the tangent stiffness matrix in space frames is deducted and the program of nonlinear dynamic stability is compiled.

本文以此单层柱面正交异型网壳结构作为研究对象，根据非线性有限元理论建立了空间梁单元的切线刚度矩阵，编制了非线性动力稳定程序。

And the motions in the normal direction and the tangent direction of the wheels were researched and the kinematic equations and the nonholonomic kinematic state space used in the acceleration control were obtained.

重点研究滚轮的法向和切向运动，建立了机器人运动学方程和无奇异性的非完整运动学状态空间。

There are some mathematical representations of space curves which will probably be met in actual engineering, and this article discusses how to get the tangent vector of these space curves according to their various mathematical representations.

本文就工程实际中可能出现的几种空间曲线的数学表示形式，分析其切线向量的求法。

We obtain a series of interesting results including the structure theorem of tangent measures, the compare theorem of the tangent space to a measure.

获得了一些较为有意义的结果，如切测度的结构性定理、关于测度之切空间的比较定理等。

Three Solutions of Tangent Line Rector of Space Curve Line

空间曲线的切线向量的求解方法

The Measure System of Tangent for Space Coordinates

接触式空间坐标测量系统

Store normals in generic space, e. g., Tangent Space.

存储非普通空间的法向量，例如，正切空间。

By the he research on these algorithms, this paper gives two ways to improve the algorithms creatively. Firstly, in the course of the research, we found that the tangent space of the data point plays an very important role in the manifold learning.

通过对这些算法的研究，本文创造性的给出了两种改进的方法。首先，通过研究发现，数据点的切空间在流形学习中发挥着重要的作用。

In this thesis, we will study systematically the geometric properties of tangent measures, and consider the properties of the tangent space to a measure.

本文系统研究了切测度的几何特征以及对于测度之切空间的几何特征。

Shape Blending Based on Representation of Simplified Polygons in the Similar Tangent Space

基于简化多边形类正切空间表示的图形渐变算法

As a result, the outliers can be detected and its negative influence can be minimized. So the estimation accuracy of the local tangent space coordinates for each point can be consequently enhanced.

该算法能够检测出离群点并降低其影响，并能改善HLLE中每个样本局部切空间坐标的准确性。

The main contributions including: 1. We propose a new algorithm, called linear local tangent space alignment ( LLTSA).

本文的主要贡献在于：1.本文提出了一个新的线性降维算法，线性局部切空间排列（LLTSA）。

In this paper, the direct formulas of the tangent stiffness matrixes for space trusses are derived, by virtue of the principle of virtual displacement under the Lagrange coordinate;

本文利用虚位移原理，采用Lagrange描述方法，推导出了空间杆元的切线刚度矩阵显式；

A Solution Method of Tangent Equation of Space Curve

空间曲线的切线方程的一种求法

A Better Scaled Local Tangent Space Alignment Algorithm Then the distorted image must be revised by using the distorted coefficient, which can be calculated by the standard scaled block.

一种改进的局部切空间排列算法对于发生畸变的图像，通过计算标准定标块发生畸变的程度（用畸变系数表示），然后对整幅图像进行畸变校正；

This paper analyses the tangent equation of space curve and the derivation process of the curved tangent plane equation in the higher-mathematics teaching-materials, and shows another method to extract the tangent equation of space curve.

分析高等数学教材中空间曲线的切线方程和曲面的切平面方程的推导过程，给出求空间曲线的切线方程的另一种方法。