1) unit digit
单元数位
2) unit quaternion
单位四元数
1.
Based on the unit quaternion representation of orientations of the 6/6-SPS Stewart manipulator,an analytical expression that represents the orientation-singularity locus of the manipulator at a fixed position is derived and examples are given to illustrate the result.
基于单位四元数表示并联机构动平台的姿态,推导出当6/6-SPS型Stewart并联机构动平台处于固定位置时机构姿态奇异轨迹的解析表达式,并通过计算机仿真给出姿态奇异轨迹的三维可视化描述。
2.
The concept of quaternion and its operation rules were introduced first, then formulae for space resection based on unit quaternion were deduced.
介绍四元数的概念及运算性质,提出基于单位四元数的空间后方交会解算方法并给出计算公式。
3.
Firstly the unit quaternions are used to describe rotation matrix in the algorithm.
本算法采用单位四元数描述旋转矩阵,然后对严格的共线条件方程进行线性化,并按照带有约束条件的间接平差进行迭代解算。
3) unit quaternions
单位四元数
1.
In this article,we introduced the theory of the unit quaternions into the field of the photogrammetry.
将四元数理论引入到摄影测量领域,用单位四元数对坐标旋转矩阵进行描述,提出了一种采用单位四元数描述航摄像片位置与姿态的单张像片空间后方交会新方法。
4) element orientation array
单元定位数组
1.
In order to assemble structural stiffness matrix for a restrained structure, an information list for nodal point’s degree of freedom is introduced to form element orientation array.
通过引入结点约束信息表形成单元定位数组来组集受约束结构刚度矩阵 ,阐述了其基本理论和基本知识 ,从而有效提高了梁格静力有限元分析程序的计算效
5) scalar-upper bound identity element
数量上界单位元
1.
In this paper the concepts of strongly closed set of hyperlattices and scalar-upper bound identity element are introduced.
通过引入超格的强闭集、上半补超格、数量上界单位元等概念,引出超格上的等价关系。
6) unit quaternions
单位四元数法
1.
The method constructs the measurement control net based on unit quaternions with the assistant measurement control points that are set around the measured workpiece,and optimizes the measurement precise of control net with Levenberg-Marquardt(LM) optimal algorithm.
通过在被测工件四周设置辅助测量控制点,基于单位四元数法建立测量控制网,并采用Levenberg-Marquardt(LM)优化算法对测量控制网的测量精度进行优化,通过测量控制网将系统在不同测位获取的测量数据转换到整体空间坐标系下,获得全局测量数据,实现测量数据的三维拼接。
2.
This paper proposes a flexible and reliable camera calibration of stereo vision measurement system based on unit quaternions with optical reference bar, which has three small collinear infrared LED feature points and the lengths between these feature points have been precisely calibrated.
提出了一种利用光学参考棒,基于单位四元数法的灵活、有效的立体视觉测量系统现场校准技术。
补充资料:四元数
| 四元数 quaternions 数的一种。1843年英国数学家W.R.哈密顿为解决建立三维复数空间的问题,把复数x+iy作为一对有序偶的实数来研究,并定义了一套运算规则,使虚数i在复数运算中有了明确的意义。为此,他创立了有4个分量的新数,即t+xi+yj+zk,他把这个数称之为四元数。其中t为四元数的数量部分,也称纯量部分,xi+yj+zk为向量部分,式中i、j、k满足: i2=j2=k2=-1,ij=k,ji=-k,ki=j,ik=-j,jk=i,kj=-i。 四元数的建立为向量代数和向量分析奠定了基础,四元数系又构成了以实数域为系数域的有限维可除代数,从而促进了代数学的发展。 |
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