方向向量旋转矩阵 [英] Direction Vector To Rotation Matrix

问题描述

如何创建旋转矩阵从方向（单位矢量）

我的矩阵是3×3，列为主，而右手

我知道'列1'是正确的，列2是和栏3是向前迈进

但我不能老是这样做。

  // 3×3，右手
结构Mat3x3
{
    VEC3列1;
    VEC3列2;
    VEC3栏3;    无效makeRotationDir（常量VEC3＆放方向）
    {
        //：（（
    }
}
 

解决方案

感谢所有。
解决了。​​

 结构Mat3x3
{
    VEC3列1;
    VEC3列2;
    VEC3栏3;    无效makeRotationDir（常量VEC3＆放大器;方向，常量VEC3＆安培;最多= VEC3（0,1,0））
    {
        VEC3 x轴= VEC3 ::十字（上，方向）;
        xaxis.normalizeFast（）;        VEC3 Y轴= VEC3 ::十字（方向，X轴）;
        yaxis.normalizeFast（）;        column1.x = xaxis.x;
        column1.y = yaxis.x;
        column1.z = direction.x;        column2.x = xaxis.y;
        column2.y = yaxis.y;
        column2.z = direction.y;        column3.x = xaxis.z;
        column3.y = yaxis.z;
        column3.z = direction.z;
    }
}
 

How To Create Rotation matrix From Direction (unit vector)

My Matrix Is 3x3, Column Major, And Right Hand

I Know 'column1' is right, 'column2' is up and 'column3' is forward

But I Can`t Do This.

//3x3, Right Hand
struct Mat3x3
{
    Vec3 column1;
    Vec3 column2;
    Vec3 column3;

    void makeRotationDir(const Vec3& direction)
    {
        //:((
    }
}

解决方案

Thanks To All. Solved.

struct Mat3x3
{
    Vec3 column1;
    Vec3 column2;
    Vec3 column3;

    void makeRotationDir(const Vec3& direction, const Vec3& up = Vec3(0,1,0))
    {
        Vec3 xaxis = Vec3::Cross(up, direction);
        xaxis.normalizeFast();

        Vec3 yaxis = Vec3::Cross(direction, xaxis);
        yaxis.normalizeFast();

        column1.x = xaxis.x;
        column1.y = yaxis.x;
        column1.z = direction.x;

        column2.x = xaxis.y;
        column2.y = yaxis.y;
        column2.z = direction.y;

        column3.x = xaxis.z;
        column3.y = yaxis.z;
        column3.z = direction.z;
    }
}

这篇关于方向向量旋转矩阵的文章就介绍到这了，希望我们推荐的答案对大家有所帮助，也希望大家多多支持IT屋！