沿一个坐标轴的3D偏斜变换矩阵 [英] 3D skew transformation matrix along one coordinate axis

问题描述

有一种方法可以在给定偏斜角的情况下沿一个坐标轴计算偏斜变换矩阵，如下所示:

Is there a way to calculate the skew transformation matrix along one coordinate axis, given the skew angle, as follows

推荐答案

这在大部分情况下都可以用于通过转换矩阵来倾斜对象，特别是使用glMultMatrix(matrix)

This should work for the most part for skewing an object with a transformation matrix, in particular using glMultMatrix(matrix)

matrix1[] = {
1,  0,  0,  0,
tan(a), 1,  0,  0,
0,  0,  1,  0,
0,  0,  0,  1
};

matrix2[] = {
    1,  0,  0,  0,
    0,  1,  0,  0,
    tan(a), 0,  1,  0,
    0,  0,  0,  1
};

matrix3[] = {
    1,  tan(a), 0,  0,
    0,  1,  0,  0,
    0,  0,  1,  0,
    0,  0,  0,  1
};

matrix4[] = {
    1,  0,  0,  0,
    0,  1,  0,  0,
    0,  tan(a), 1,  0,
    0,  0,  0,  1
};

matrix5[] = {
    1,  0,  tan(a), 0,
    0,  1,  0,  0,
    0,  0,  1,  0,
    0,  0,  0,  1
};

matrix6[] = {
    1,  0,  0,  0,
    0,  1,  tan(a), 0,
    0,  0,  1,  0,
    0,  0,  0,  1
};

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