四元数和欧拉角的相互转换

四元数转欧拉角&欧拉角转四元数程序:四元数转欧拉角&欧拉角转四元数程序。

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#include "stdafx.h"
#include "math.h"
#include<iostream>
#include<string.h>
using namespace std;
 
void EulerAnglesToQuaternion(double roll, double yaw, double pitch)
{
    double cosRoll,sinRoll,cosPitch,sinPitch,cosyaw,sinyaw,qw,qx,qy,qz;
    cosRoll = cosf(roll * 0.5f); //z
    sinRoll = sinf(roll * 0.5f);//z
 
    cosyaw= cosf(yaw * 0.5f);//y
    sinyaw = sinf(yaw * 0.5f);//y
 
    cosPitch = cosf(pitch * 0.5f);//x
    sinPitch = sinf(pitch * 0.5f);//x
 
 
    qw = cosRoll * cosyaw* cosPitch + sinRoll * sinyaw * sinPitch;
    qx = cosRoll * sinyaw * cosPitch + sinRoll * cosyaw * sinPitch;
    qy = cosRoll * cosyaw * sinPitch - sinRoll * sinyaw * cosPitch;
    qz = sinRoll * cosyaw * cosPitch - cosRoll * sinyaw * sinPitch;
    cout << "qw = " << qw << endl;
    cout << "qx = " << qx << endl;
    cout << "qy = " << qy << endl;
    cout << "qz = " << qz << endl;
 
}
void QuaternionToEulerAngles(double qw, double qx, double qy, double qz)
{
    double roll, yaw, pitch;
    roll = atan2f(2.f * (qw*qz + qx*qy), 1-2*(qz*qz+qx*qx)); //Z
    yaw =  asinf(2.f * (qw*qx - qy*qz)); //Y
    pitch =atan2f(2.f * (qw*qy + qz*qx), 1-2*(qy*qy+qx*qx));//X
 
    cout << "roll = " << roll << endl;
    cout << "yaw = " << yaw << endl;
    cout << "pitch = " << pitch << endl;
}
 
int main()
{
    QuaternionToEulerAngles(0, 0.707106, 0.707106, 0);
    EulerAnglesToQuaternion(1.5707,0,3.14159);
    return 0;
}</string.h></iostream>

二、Ctrl+F5执行

三、结果

四元数和欧拉角的相互转换