查询词典 quaternions

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。

The so called indirect integral operation means that Eular angles can be gotten from the direction cosine matrix which is received by the integral operation of quaternions or direction cosine.

飞行器导航中，姿态角的获取可以通过直接或间接的积分运算求得的，所谓间接获取即是指通过四元数或方向余弦的积分运算求得姿态矩阵，再从姿态矩阵中提取姿态角。

Several common description methods for rotational kinematics are discussed in control point, such as direction cosine matrix, Euler angles, quaternions and Rodrigues/Modified-Rodrigues parameters. Transformation relationships, advantages and disadvantages among those methods are discussed.

从控制角度综评方向余弦、欧拉角、四元数和Rodrigues/修正Rodrigues参数几种常用姿态描述动态方程，指出各种方法的优缺点，及相互转化。

It is sometimes easier to use quaternions with complex elements, leading to a form that is not a division algebra.

有时候采用带有复数元素之四元数会比较容易，导得结果不为除法代数之形式。

The family of quaternions plays a role in quantum physics, geostatics, control theory and peg-top technology. It is important to know and research quaternions as the development of quaternions. Thus the real representation of quaternion matrices has been appeared.

近年来，四元数矩阵在刚体力学，量子力学，控制理论和陀螺技术中的应用日趋重要和广泛，随着上述四元数力学的不断发展，对四元数矩阵的进一步认识和研究就显得越来越重要。

Quaternions do not suffer from gimbal lock, because they do not express rotations relative to three separate axes.

四元数就不会遭受万向节锁的痛苦，因为它不用三个分离的轴表示旋转。

Vector is a useless survival, or offshoot from quaternions, and has never been of the slightest use to any

向量是无用的幸存物或四元数的无价值的支流，对任何创造，从未有过最微细的应用。

In this paper,pose representation by quaternions are researched.With the basic quaternion algebra,the "quaternion based rotations combination theorem" is introduced and proved theoretically.On the basis of this theorem,a method for compute of pose nonliear state transfer function and its linearization is purposed.Then,the computing of the measurement function and the linearization is studied.With the Extended Kalman Filter,the pose is tracked and estimated.

研究用四元数表示物体的姿态，在四元数基本运算法则基础上提出并证明了"基于四元数的多个旋转运动合成规则"，然后将此规则为依据，推导出一种用来计算姿态非线性状态方程系数的方法，对非线性状态转移函数进行线性化，并且研究了测量方程函数的确定及线性化，借助扩展Kalman滤波实现了对姿态的跟踪。

The algebra of quaternions, the first noncommutative algebra was thus sudd ly born.

四元数的代数，第一非交换的代数，就这样在一夜之间诞生了。

INS with single axis stablization is analyzed using quaternions, and system quaternions error model is worked out.

应用四元数方法分析了单轴稳定惯导系统，建立了系统的四元数误差模型。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。