当然，你可能也会用到四元数转换的“常规”表示法。
Of course, you'll also need to be able to convert from "conventional" representations to quaternions.
用高斯-牛顿误差最小法将六维观测量转化为四元数，作为观测量的一部分，显著减少了直接使用EKF的计算量。
Gauss-Newton error minimization is used to transform six-dimentional reference vector to quaternion as a part of observations for EKF, which significantly reduces the computational requirement.
分析了用有限元法模拟线材二辊、三辊和四辊轧机轧制的特点，对线材断面的几何形状、微观组织和机械性能进行了介绍。
By simulating the features of two -, three -, four-high mill with finite element method, the geometric shape, micro-structure and mechanical property of wire section are analyzed.
文中表明用四元数方法证明该定理比矢量法更为简单。
The paper shows that the method of proving the commutative property of composition for the finite rotations by quaternions is simpler than that by vectors.
因此，对于解决欧拉方程奇异性来讲，双欧法要优于四元数法。
So, dual Euler method is better than quaternion method in the solution of the singularity of the Euler equation.
本文用非线性有限元法计算了三种不同的四边支承板的大变形响应。
Using nonlinear finite element method, the large deformation responses were computed for three plates supported on four edges in different ways.
采用最小参数法求解四元数微分方程，优化了四元数实时更新算法。
When optimizing synchro update of the quaternion, the quaternion differential equation is calculated by using minimum parametric method.
线性四元树中轴变换是一种紧凑和精确的区域表示法。
Linear quadtree medial axis transforms offer a compact and exact region representation.
导出斜型薄板单元模型并应用于有限元线法(FEMOL)求解平行四边形斜板的弯曲问题。
A parallelogram oblique element model is developed in the Finite element Method of Lines (FEMOL) for the solutions of oblique plate bending problems.
介绍了四元数法的基本原理及其在捷联系统中的用法；
The basic theory and the usage of quaternion are also been introduced.
与四节点单元相结合，提出一种求解自由边界面端部广义应力强度因子的杂交元法。
Combining general four-node element around crack tip element, a hybrid-stress finite element model is developed, Accordingly a hybrid finite element method to fo.
采用三维刚塑性有限元法对四种径向精锻变形道次的变形分布进行了数值模拟计算；
The strain distributions of four kinds of radial forging processes have been simulated by rigid-plastic FEM.
分析了不定积分的四种基本求解方法：直接积分、第一换元法、第二换元法、分部积分法。
There are four solutions of indefinite integration in paper: direct integration, the first exchangeable integration, the second exchange - able integration, parcel integration.
用光度法测算了醇与有机磷一元酸四面体钴配合物加合反应的平衡常数。
The equilibrium constants of addition reaction of alcohol to tetrahedral complex of cobalt with organophosphorus monobasic acids in octane are established by spectrophotometry.
数值流形方法常基于有限元法三结点或四结点单元。
Usually the numerical manifold method (NMM) is based on meshes of three - or four-node element.
四元数法从理论上讲比较完美，但实际应用中存在较大的累积计算误差，从而影响计算精度；
Quaternion method is good in theory, but it has increasing error in calculation. Therefore it is not accurate.
本文综述了结构声传递的四种数值计算方法：统计能量分析、有限元法、阻抗分析法、波动分析法。
Four kinds of numerical computing methods for structure_borne propagation are summarized: Statistical Energy Analysis, Finite Element method.
通过四元数法和欧拉角法描述飞行器姿态，并建立相应的运动学方程。
The attitudes of vehicle are described by both quaternion and Euler angles, and two kinds of motion equations are established accordingly.
本文提出的四边形块元法，采用积分法导出计算公式。
This paper presents the method of quadrilateral element which makes possible the derivation of the formulas by integration.
将子结构法和双倒易边界元法联合应用于预测具有三维复杂流存在时管道和消声器的四极参数与传递损失，阐述其基本原理与数值过程。
A substructure method and a dual reciprocity boundary element method (DRBEM) are applied to calculate four-pole parameters and transmission loss of ducts and silencers with complex flow.
与四节点单元相结合，由此提出了一种新的求解应力强度因子的杂交元法。
Combined with general four-node element around crack tip element, a new hybrid finite element method to study stress intensity factors for interfacial crack is introduced.
对解决欧拉方程奇异性的双欧法和四元数法进行了对比研究。
This paper studies comparatively dual Euler method and quaternion method which are used for the solution of the singularity of the Euler equation.
使用四元数避免了欧拉角法的奇异问题；
Quaternion is used rather than Eular angles to avoid the problem of singularity.
由边界元法计算出消声器的四极参数，从而预测传递损失等消声量。
The four-pole parameters of muffler can be obtained using BEM, therefore the acoustic characteristics such as transmission loss can be predicted .
方法用四动脉阻断法造模，观察背侧海马神经元的超微结构；
Electron microscope was used to observe the ultramicrostructure of dorsal hippocampal neurons.
采用四元数法描述了刚体姿态系统。
Quaternions are used to describe the attitude of the rigid body system in this paper.
第四节，描述了凯尔森法与国家一元论的主要特征。
Section IVis a description of the main features of the monism of law and state of Kelsen.
论文将对偶四元数法应用到三维物体识别的匹配算法中，利用最小二乘的思想提出了一种基于迭代最近点的匹配算法。
Last, we apply the dual quaternion algorithm to matching algorithm of 3d object recognition and make use of least-squares technique to propose a matching method based on iterative closest point.
论文将对偶四元数法应用到三维物体识别的匹配算法中，利用最小二乘的思想提出了一种基于迭代最近点的匹配算法。
Last, we apply the dual quaternion algorithm to matching algorithm of 3d object recognition and make use of least-squares technique to propose a matching method based on iterative closest point.
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