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欧拉角转旋转矩阵

Java旺 2022-03-21 阅读 54
matlab
% eularAngle_to_rotationMatrix.m
clear all;close all;clear;clc;

%欧拉角
roll = pi/2;
pitch = pi/3;
yaw = pi/4;
angle_xyz = [roll pitch yaw];
angle_zyx = [yaw pitch roll];

%欧拉角转旋转矩阵
rMX = [1      0      0;
    0 cos(roll) -sin(roll);
    0 sin(roll) cos(roll)];

rMY = [cos(pitch)  0 sin(pitch);
    0       1      0;
    -sin(pitch) 0 cos(pitch)];

rMZ = [cos(yaw) -sin(yaw) 0;
    sin(yaw) cos(yaw)  0;
    0      0       1];


rotationMatrix_zyx = rMZ*rMY*rMX;
rotationMatrix_xyz = rMX*rMY*rMZ;

eul2rotm_default=eul2rotm(angle_zyx);
eul2rotm_zyx=eul2rotm(angle_zyx,'ZYX');
eul2rotm_xyz=eul2rotm(angle_xyz,'XYZ');


angle2dcm_default=angle2dcm(yaw, pitch, roll);
angle2dcm_zyx=angle2dcm(yaw, pitch, roll, 'ZYX');
angle2dcm_xyz = angle2dcm(roll, pitch, yaw, 'XYZ');

assert(min(min(rotationMatrix_zyx==eul2rotm_default))==1)
assert(min(min(eul2rotm_default==angle2dcm_default'))==1)
assert(min(min(eul2rotm_default==eul2rotm_zyx))==1)

assert(min(min(rotationMatrix_xyz==eul2rotm_xyz))==1)
assert(min(min(eul2rotm_xyz==angle2dcm_xyz'))==1)





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