quaternion

quaternion

美 [kwə'tɜːnɪən] 　英

• n.四；【数】四元数；四元法；四组物
• 网络四个一组；构造四元数；四数

词形变化

复数：quaternions  

英汉解释

n.	1. 【数】四元数;四元法 2. 四,四个一组;四组物;四人一组 3. 四张对折的一沓纸;对折两次的一张纸

英英解释

n.	1. a generalized complex number that contains four terms, one real and three imaginary, and is the sum of a real number and a vector

例句

First, a variation-the error quaternion vector can be attained. The non-single question of the end attitude of the spacecraft can be solved.

首先导出了误差四元数矢量，从而解决了航天器姿态控制中最终姿态表示的非单值性问题；

W component of the Quaternion. Don't modify this directly unless you know quaternions inside out.

四元数的W组件。不要直接修改这个，除非你很了解四元数。

Returns the square of the length of a quaternion .

返回四元数的长度的平方。

Returns the length of a quaternion .

返回当前四元数的长度。

Returns the normalized form of the specified quaternion .

返回指定四元数的正规化形式。

Returns the length of the specified quaternion .

返回当前四元数的长度的平方。

Replaces the current quaternion with its exponential .

用当前四元数的幂替换此四元数。

Replaces the current quaternion with its natural logarithm.

用当前四元数的自然对数替换此四元数。

When optimizing synchro update of the quaternion, the quaternion differential equation is calculated by using minimum parametric method.

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。

In this paper, the quaternion is taken for positional parameters to control the attitude of a spacecraft.

以四元数作为定位参数对航天器进行姿态控制。

Returns the length of the current quaternion .

返回指定四元数的长度。

It proves that the estimate sectional curvature of a quaternion manifold is very useful for Riemann symmetric space.

它进一步说明一个四元流形的截面曲率的估计对许多对称黎曼空间都是有效的。

To improve the efficiency of color image segmentation algorithm, we use quaternion principal component analysis to process color images.

为提高分割算法的处理效率，本文采用了四元数主成分浅析浅析对彩色图像进行主成分提取。

Quaternion definition and geometry meaning were described and quaternion movement equation was introduced.

阐述了四元数的定义、几何意义及四元数表示的运动学方程。

A new effective method which makes use of quaternion theory is presented to implement location transformation of a plane curve.

利用实四元数理论，提出了一种将一般位置平面曲线变换到空间任意指定位置的一种简捷方法。

rotation The rotation of the transform in world space stored as a Quaternion.

作者把世界作为一个四元存储空间旋转。

Calculates the natural logarithm of a quaternion.

计算四元数的自然对数。

In this paper, the quaternion is taken for positional parameters to control attitude of the space station.

以四元数作为定位参数对空间站进行姿态控制。

Multiplies the current quaternion by the specified quaternion .

将当前四元数与指定四元数相乘。

Calculates the exponential of a quaternion.

计算四元数的幂。

The attitude dynamics is described by quaternion to eliminate singularity of Euler angle description.

应用四元数来描述姿态运动，以消除大角度机动飞行时欧拉角描述所存在的奇异性。

Structure passed by reference, that identifies axis of rotation of the quaternion.

结构，标识该四元数的旋转轴。

Secondly, to maintain inherent relation of three color components, we use quaternion model for color image to solve.

其次，本文采用了基于四元数的彩色图像模型来解决保持颜色分量整体性的不足。

Calculates the exponential of the specified quaternion.

计算指定四元数的幂。

Computes the axis and angle of rotation for a quaternion.

计算四元数的轴和旋转角度。

If the norm is 1, you have a so-called unit quaternion (just as you would have a unit vector).

假如平均值为1，你就得到所谓的单位四元数（正象单位矢量）。

Returns the conjugate of a quaternion.

返回四元数的共轭。

This paper studies linear quaternion matrix equation problem.

本文主要研究四元数体上线性矩阵方程解的问题。

Returns the negation of the specified quaternion.

返回指定四元数的取非值。

Errors of the omnidirectional attitude motion of missile were studied based on error quaternion method.

基于四元数误差分析的方法，研究了导弹姿态扰动情况下全方位运动的误差问题。

Structure that identifies the axis about which to rotate the quaternion .

结构，标识要绕其旋转四元数的轴。

The rotation dynamic and quaternion kinetic equations of spacecrafts were educed according to the principles of variable-structure control.

根据滑动模态变结构控制原理，导出了航天器三轴动力学和四元数姿态运动学方程。

Adds two instances of the Quaternion structure.

添加Quaternion结构的两个实例。

Creates the norm of a quaternion.

创建四元数的模方。

There are two applications to the RB. One is array processing and the other is quaternion finite field transform.

双复数有两种运用，一个用在阵列信号处理，另一个则用在四元有限场转换。

In addition, the paper also discussed a group of formula of vector differentiation in quaternion form.

文章还讨论了四元数形式的矢量微分运算的一组计算公式。

The original color image was first represented by using quaternion Same-Hue-Full-Saturation (SHFS) form.

首先将输入彩色图像用同色调全饱和度四元数形式表示；

builds a quaternion with the given yaw , pitch , and roll.

生成一个具有给定横倾、纵倾和横摆的四元数。

In addition to the obligatory matrix class, a quaternion class also exists.

除了必须的矩阵类，还有四元数类。

Builds a matrix from a quaternion.

使用一个四元数生成一个矩阵。