二维,三维坐标旋转算法(公式)

本文是有关二维,三维坐标旋转算法笔记。

1.二维坐标旋转。二维坐标旋转公式图下:

void Rotate2(double x1, double y1, double alpha, double& x2, double& y2)
{

x2 = x1 * cos(alpha) - y1 * sin(alpha);
y2 = x1 * sin(alpha) + y1 * cos(alpha);

}

2.三维坐标旋转

在处理三维坐标旋转时,使用标准的数学公式是沒有问题的。但是把二维坐标旋转调用三次,也能够实现三维坐标的旋转,而且有易读易懂,処理速度快的长处。

void Rotate3(double x1, double y1, double z1,

         double alphaX,double alphaY,double alphaZ, 
         double& x2, double& y2, double& z2)

{

//Z Axis Rotation
double x3 = x1 * cos(alphaZ) - y1 * sin(alphaZ);
double y3 = x1 * sin(alphaZ) + y1 * cos(alphaZ);
double z3 = z1;

//Y Axis Rotation
double z4 = z3 * cos(alphaY) - x3 * sin(alphaY);
double x4 = z3 * sin(alphaY) + x3 * cos(alphaY);
double y4 = y3;

//X Axis Rotation
y2 = y4 * cos(alphaX) - z4 * sin(alphaX);
z2 = y4 * sin(alphaX) + z4 * cos(alphaX);
x2 = x4;

}

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    原文作者:weixin_34049948
    原文地址: https://blog.csdn.net/weixin_34049948/article/details/90195024
    本文转自网络文章,转载此文章仅为分享知识,如有侵权,请联系博主进行删除。
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