如何随图像的比例改变单应性? [英] How to change the homography with the scale of the image?

问题描述

我有两个平面图像 A 和 B我已经使用特征点计算了这两个图像之间的单应性，我的问题是，如果 A 和 B 都放大到两倍大小，假设 A' 和 B'.单应性会怎样?谢谢你.

I have two planar images A and B I have calculated the homography between these two images using feature points, my question is, if both A and B scale up to double size, let's say A' and B'. How will homography' be? Thank you.

推荐答案

单应性不变.只要两个图像都经过相同的线性缩放，它将是相同的.

The homography doesn't change. It will be the same as long as both images have undergone the same linear scaling.

单应性是 3D 空间中两个 2D 平面之间的映射.它结合了旋转和平移与相机矩阵.如果相机相对于对象的位置没有改变，那么从对象平面中的点到图像平面中的等效点的映射计算的单应性将是相同的(假设没有噪声)，而不管选择的点如何.

The homography is a mapping between two 2D planes in 3D space. It combines at rotation and translation with the camera matrix. If the position of the camera relative to the object has not changed, then a homography calculated from a mapping of points in the object plane to the equivalent points in the image plane will be the same (assuming no noise) regardless of the points chosen.

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