描述两个平面关系的单应性矩阵
时间: 2024-04-25 22:23:41 浏览: 31
单应性矩阵是用来描述两个平面之间关系的数学概念。通过一组对应的点,可以确定两个平面之间的单应性矩阵。这个矩阵可以表示两个平面之间的投影变换关系。具体来说,对于两个平面上的任意两个对应点a1、a2和b1、b2,单应性矩阵可以表示为:
H = \[a1 a2 b1\] * \[h11 h12 h13\]
\[b1 b2 b3\] \[h21 h22 h23\]
\[h31 h32 1 \]
其中,h11、h12、h13、h21、h22、h23、h31、h32是单应性矩阵的元素。通过求解这个方程组,可以得到单应性矩阵H。\[1\]
参考资料:
1. What’s the difference between a perspective transform, homography matrix, essential matrix, and a fundamental matrix?
2. 《视觉SLAM十四讲》p167\[3\]
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