homogeneous coordinates

Transformation of homogeneous coordinates and its application in the analysis of spatial mechanism

齐次坐标变换在空间机构分析中的应用曲线的极切线坐标及其应用

Application of homogeneous coordinates in geometrical compositive analysis of structures

齐次坐标在结构几何组成分析中的应用

Finally , extension algorithms for NURBS curves are discussed by means of homogeneous coordinates .

最后，利用齐次坐标讨论了NURBS曲线的延伸算法。

Homogeneous Coordinates and its Applications

齐次坐标及应用

Based on homogeneous coordinates , this paper presents a convenient algorithm for approximate degree reduction of NURBS and rational Bezier curves and surfaces .

基于齐次坐标空间，提出了一种NURBS曲线曲面和有理Bezier曲线曲面降阶的简便方法。

The application of homogeneous coordinates in the analysis of complex spatial mechanism is presented . The definition , properties and transformation of the homogeneous coordinates are presented .

介绍一种用于复杂空间机构分析的简捷而有效的数学方法&齐次坐标及其变换，阐述了齐次坐标的定义、性质及坐标变换。

Homogeneous coordinates are very useful and fundamental concept in computer graphics , such as projecting a3D scene onto a2D plane .

齐次坐标在计算机图形学中是有用的，将3D场景投影到2D平面的过程中就用到它了。

The solution of ship-mounted crane anti-sway is based on robots kinematics , homogeneous coordinates and knowledge of dynamics and Combined with characteristics of ship-mounted crane .

本文在齐次坐标变换理论和机器人机构运动学以及动力学知识基础上，结合船用起重机的工作特点来解决吊重系统的防摆动问题。

The eigenvectors are vector of homogeneous coordinates of control vertices . And the ratio of corresponding weights of two curves equals ratio of corresponding barycenter coordinate of corresponding points on curves .

且两曲线对应权因子之比等于曲线上对应点关于控制三角形的重心坐标对应分量之比。

Moreover , the kinematics model was built by homogeneous coordinates while kinetics model of single-supporting was built by Lagrange function . Secondly , the movement unit on humanoid soccer robot was studied .

基于Lagrange方程建立了单脚支撑期的动力学模型。其次，对仿人足球机器人动作单元规划进行研究。

The main contents are follows : In this thesis , we first introduce some basic theories of multiple view geometry , such as homogeneous coordinates , projective geometry , pinhole camera model , two-view geometry etc.

论文首先介绍了与本论文工作相关的多视图几何的一些基本理论，如齐次坐标，射影几何，摄像机针孔模型，两视图几何等；

At the beginning , the basic theory of plane measurement ? some basic elements in planar projective geometry , including 2D protective plane , homogeneous coordinates and homography are introduced . The pinhole camera model and the basic algorithm of image measurement are discussed .

首先介绍了平面测量问题的理论基础&平面射影几何的一些基本元素：射影平面，齐次坐标，平面单应等，接着讨论了摄象机针孔模型以及基于图象的平面测量基本原理。

With the representation of homogeneous coordinates , we explain the geometric sense for the weights of NURBS surface firstly , and then prove in the paper that when one weight changes , the points of NURBS surface move toward or away from the control points .

利用NURBS曲面的齐次坐标表示，首先解释了NURBS曲面权因子的几何意义，直观地证明了单个权因子变化时，曲面上的点被拉向或被推离控制顶点的方向。

In the thesis , such mathematical and mechanical knowledge as matrix algebra , tensor analysis , homogeneous coordinates and their transformation , Lagrange 's and Euler 's dynamics equations are used to analyze the kinematics and dynamics of the 3-dimensional shaker mixer in great detail .

作者运用矩阵代数、张量分析、齐次坐标及其变换以及拉格朗日方程、欧拉方程等数学和力学工具，对三维摆动混合机进行了较为全面的运动学和动力学分析。

With the technique of homogeneous barycentric coordinates and sharpness factor , a new filtering algorithm is developed .

应用齐次中心坐标和锐度因子技术，提出了一种新的网格曲面去噪方法。

This paper gives the method of homogeneous projection coordinates system that is established by original element turning to natural coordinates system under the projective change .

给出在射影变换下以原象元素所建立的齐次射影坐标系化为自然坐标系的方法，不妨称作基元变换法。

Based on homogeneous barycentric coordinates , a new geometric variable , sharpness factor , is defined for measuring sharpness of independent vertexes .

基于齐次重心坐标，定义了新的网格顶点几何变量&锐度因子。

Basing on projective geometry , the author of this paper offers a general analysis of photogrammetric geometry theory and puts forward the photogrammetric equations expressed by homogeneous projective coordinates .

作者从射影几何的观点出发，全面分析研究了摄影测量的几何理论，首次提出了用齐次射影坐标表述的摄影测量方程组，为摄影测量提供了新的理论基础，并给出了具体的实例。

We introduce homogeneous barycentric coordinates for discrete surface processing , and any vertex can be expressed as a homogeneous weighting center of its neighboring vertexes and neighboring planes .

同时本文对离散曲面去噪技术作了研究，引入了在网格曲面处理中的齐次重心坐标，对于网格中的任意顶点，都能用它的邻近顶点和邻近面片的加权齐次中心表示。

It is shown that the 2_dimensional projective coordinate system can be constructed by homogeneous vector on the basis of the Descartes homogeneous coordinates .

在笛氏齐次坐标的基础上，采用齐次向量的方法，建立二维射影坐标系。