如何根据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都缩放到双倍大小，那么就说A'和B' 。单应性如何？
谢谢。

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

单应性不会改变。只要两个图像都经历了相同的线性缩放，它就会一样。

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。它将旋转和平移与相机矩阵相结合。如果相机相对于物体的位置没有改变，那么无论选择哪个点，从物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）。

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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