偏斜矩阵算法 [英] skew matrix algorithm

问题描述

我正在寻找偏斜算法，就像在photoshop上一样，编辑->变换->偏斜有没有简单的矩阵可以做到这一点?

I'm looking for skew algorithm, just like on photoshop, edit->transform->skew is there any simple matrix which could do that?

到目前为止我看到的是基本的倾斜矩阵(剪切)，但它缺乏控制点，不喜欢在矩形的每个角上至少有 4 个点的 photoshop，我们可以自由移动每个控制点.

what I've seen so far was basic skew matrix (shear) but its lack of control point, doesn't like on photoshop which have at least 4 points on each corner of rectangle and we can move each control point freely.

我需要实现它来变换平面.

I need to implement it to transform a plane.

推荐答案

查看 http://www.w3.org/TR/SVG11/coords.html，关于SVG，它说:

Looking at http://www.w3.org/TR/SVG11/coords.html, which talks about SVG, it says:

• 沿 x 轴的偏斜变换等效于矩阵

或[1 0 tan(a) 1 0 0]，具有将X坐标倾斜角度a的效果.

or [1 0 tan(a) 1 0 0], which has the effect of skewing X coordinates by angle a.

• 沿 y 轴的偏斜变换等效于矩阵

或 [1 tan(a) 0 1 0 0]，具有将 Y 坐标倾斜角度 a 的效果.

or [1 tan(a) 0 1 0 0], which has the effect of skewing Y coordinates by angle a.

希望有帮助！:)

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