OpenGL绕线旋转对象 [英] OpenGL Rotation of an object around a line

问题描述

我正在用OpenGL和C ++进行编程.我知道1条线(对角线)上有2个点，并希望围绕该对角线旋转对象.我该怎么做呢?我知道如何使用glrotatef使其绕x，y或z轴旋转，但是对此不确定.

I am programming in OpenGL and C++. I know 2 points on 1 line (a diagonal line) and wish to rotate an object around that diagonal line. How can I go about doing this? I know how to use glrotatef to rotate it around the x, y or z axis but am not sure about this.

推荐答案

glRotate的x，y和z参数可以指定任意轴，而不仅仅是x，y和z轴.要找到一条穿过您的线的轴，只需减去线的端点即可得到轴向量:如果两个点分别为(x1, y1, z1)和(x2, y2, z2)，则您需要的轴为(x2-x1, y2-y1, z2-z1).

The x, y and z parameters to glRotate can specify any arbitrary axis, not just the x, y and z axes. To find an axis passing through your line, just subtract the end-points of the line to get an axis vector: if the two points are (x1, y1, z1) and (x2, y2, z2), the axis you need is (x2-x1, y2-y1, z2-z1).

编辑:正如@chris_l所指出的，仅当行经过原点时，此方法才有效.如果不是，请首先应用(-x1, -y1, -z1)的平移，以使线穿过原点，然后应用上述旋转，并通过(x1, y1, z1)将其平移回去.

As @chris_l pointed out, this works only if the line passes through the origin. If not, first apply a translation of (-x1, -y1, -z1) so that the line passes through the origin, then apply the above rotation, and translate it back by (x1, y1, z1).

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