四元數(shù)解算姿態(tài)Matlab程序代碼

所屬分類：其他

開發(fā)工具：matlab

文件大小：3KB

下載次數(shù)：31

上傳日期：2017-11-08 18:40:58

上 傳 者：楓棱

說明：??四元數(shù)是簡(jiǎn)單的超復(fù)數(shù)。 復(fù)數(shù)是由實(shí)數(shù)加上虛數(shù)單位 i 組成，其中i^2 = -1。 相似地，四元數(shù)都是由實(shí)數(shù)加上三個(gè)虛數(shù)單位 i、j、k 組成，而且它們有如下的關(guān)系： i^2 = j^2 = k^2 = -1， i^0 = j^0 = k^0 = 1 , 每個(gè)四元數(shù)都是 1、i、j 和 k 的線性組合，即是四元數(shù)一般可表示為a + bk+ cj + di，其中a、b、c 、d是實(shí)數(shù)。

對(duì)于i、j、k本身的幾何意義可以理解為一種旋轉(zhuǎn)，其中i旋轉(zhuǎn)代表X軸與Y軸相交平面中X軸正向向Y軸正向的旋轉(zhuǎn)，j旋轉(zhuǎn)代表Z軸與X軸相交平面中Z軸正向向X軸正向的旋轉(zhuǎn)，k旋轉(zhuǎn)代表Y軸與Z軸相交平面中Y軸正向向Z軸正向的旋轉(zhuǎn)，-i、-j、-k分別代表i、j、k旋轉(zhuǎn)的反向旋轉(zhuǎn)

(The four element number is a simple super complex number. The complex is composed of real and imaginary unit of I, where i^2 = -1. Similarly, the number of four yuan is composed of real and three imaginary unit of I, J, K, and they have the following relationship: i^2 = j^2 = k^2 = -1, i^0 = j^0 = k^0 = 1, four yuan each number is a linear combination of 1, I, J and K, i.e. the number is four yuan in general can be expressed as a + bk+ CJ + Di, B, C, a, D is a real number.

For I, J, K geometric meaning itself can be understood as a rotation, which represents the X I rotation axis and Y axis plane intersecting the positive X axis to the positive Y axis rotation, J rotation represents the Z axis and X axis plane intersecting the positive Z axis to the positive X axis rotation, K rotation Y axis intersects the Z axis in the plane of the positive Y axis to the positive Z axis rotation, -i, -j, I, J and -k respectively represent the K rotation and reverse rotation)

文件列表：[舉報(bào)垃圾]

fcnsiyuanshu - 副本 (4).m

fcnsiyuanshu - 副本 (5).m

fcnsiyuanshu - 副本 (6).m

fcnsiyuanshu - 副本 (7).m

fcnsiyuanshu - 副本.m

fcnsiyuanshu.m

fcnsiyuanshu - 副本 (2).m

fcnsiyuanshu - 副本 (3).m

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