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四元数

网络quaternion; Quaternions; tcb

四元数

网络释义

四元数

quaternion

一个四元数（Quaternion）其实描述了一个旋转轴和一个旋转角度。这个旋转轴和这个角度可以通过Quaternion::ToAngleAxis …

Quaternions

四元数（Quaternions）是由威廉·卢云·哈密尔顿(William Rowan Hamilton,1805-1865）在1843年爱尔兰发现的数学概念。四元 …

tcb

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Quaternion Numbers

Plotting Pixels in Non... ... Quaternion Powers 四元数 Quaternion Numbers 四元数 A Simple Quaternion-based Camera 四元数 ...

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；

Quaternions , which extend imaginary numbers into a further dimension , began to be developed by William Hamilton in Dublin in 1843 .

1843年，威廉•汉密尔顿（WilliamHamilton ）在都柏林发明了四元数，将虚数扩展到四维空间。

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。

An expression that is the sum of a real number and a vector and that contains four terms, one real and three imaginary .

（四元数）一实数和一矢量的和的表达式，有四个项，一个为实数项，另外三个为虚数项。

Of course , you 'll also need to be able to convert from "conventional " representations to quaternions .

当然，你可能也会用到四元数转换的 “常规 ”表示法。

Only the bone data needs to be stored for every frame of the animation . Usually , the bone data is represented by quaternions .

存储动画帧我们仅仅需要骨胳的数据。通常，骨胳数据由四元数表示。

Quaternions extend the concept of rotation in three dimensions to rotation in four dimensions.

四元数将三维中旋转的概念扩展到四维中的旋转。

Returns the square of the length of a quaternion .

返回四元数的长度的平方。

Determines the product of a quaternions and a specified factor .

确定四元数与指定因数的乘积。

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。

Quaternions were originally invented as an extension to complex numbers .

四元数最早是为了扩展复数应用而产生与发展起来的。

Compares the specified quaternions to determine whether they are the same .

对指定的四元数进行比较以确定其是否相同。

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。

Quaternions are a compact, unintuitive way of representing rotations .

四元数是表现旋转的结实的、非直观的方法。

Compares the current specified quaternions to determine whether they are different .

对当前指定的四元数进行比较以确定其是否不同。

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。

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

结构，标识该四元数的旋转轴。

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