最后，利用齐次坐标讨论了NURBS曲线的延伸算法。
Finally, extension algorithms for NURBS curves are discussed by means of homogeneous coordinates.
首先结合多体系统理论和齐次坐标变换建立目标机床的误差模型；
The first work was to build an error model of target machine tool by combining the multi-body system theory and homogeneous coordinate transform.
研究了线结构光传感器的数学模型，并给出了齐次坐标系下的表达形式。
The mathematical model of single line structured light transducer is studied and it's expression under homogenous coordinate is given out.
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。
It is shown that the 2_dimensional projective coordinate system can be constructed by homogeneous vector on the basis of the Descartes homogeneous coordinates.
NURBS曲线方程具有三种等价形式：有理分式表示、有理基函数表示和齐次坐标表示。
NURBS curve equation has three kinds of the equivalence form, i. e. rational fraction, rational base function and homogeneous coordinate.
本文将齐次坐标变换理论结合刀具与工件联结链矢量概念建立了加工中心误差运动综合补偿模型。
An error synthesis model for the machining centers is set up by using homogeneous coordinate transformation and tool workpiece connection vector.
对应特征点的三维重建是根据三角测量的方法计算其投影矩阵，然后用奇异值分解求出特征点的三维齐次坐标。
Feature points' 3d coordinates are computed through singular value decomposition of projector matrix, then compute projector matrix by triangulation.
利用机器人运动学中的齐次坐标变换理论和D - H坐标描述方法建立了关节机械臂系统的坐标测量数学模型，并给出了系统测量空间。
Based on the theory of homogeneous transformation and DH method in robot kinematics, the coordinate measuring model of articulated arm system is established, the system measuring space is given.
另一方面，引力场的能量动量又可以表示为平移规范场强的二次齐式因而在广义坐标变换下协变。
On the other hand, it can also be expressed in terms of the translation gauge field strength and therefore is covariant under general coordinate transformations.
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。
Based on homogeneous barycentric coordinates, a new geometric variable, sharpness factor, is defined for measuring sharpness of independent vertexes.
文章通过建立各中间坐标系，用齐次矩阵方法详细论述了两种典型5轴数控机床空间运动算法。
In this paper, the spatial kinematics algorithms of two typical 5-axis NC machines have been proposed with the foundation of intermediate coordinate systems and the homogeneous matrix.
文章通过建立各中间坐标系，用齐次矩阵方法详细论述了两种典型5轴数控机床空间运动算法。
In this paper, the spatial kinematics algorithms of two typical 5-axis NC machines have been proposed with the foundation of intermediate coordinate systems and the homogeneous matrix.
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