来自相同投影矩阵的不同基本矩阵 [英] Different fundamental matrix from the same projection matrices

问题描述

我使用两个投影矩阵P1和P2（例如，我使用恐龙数据集），我需要计算基本矩阵F.
所以我使用两个Matlab函数：

I use two projection matrices P1 and P2 (for example I'm using dinosaur dataset) and I need to compute the fundamental matrix F. So I use two Matlab functions:

• Peter Kovesi的函数：www .csse.uwa.edu.au /〜pk / Research / MatlabFns / Projective / fundfromcameras.m


• Zisserman：www.robots.ox.ac.uk/~vgg/hzbook/code /vgg_multiview/vgg_F_from_P.m

这些函数应该做同样的事情，但我有不同的F值！怎么可能？

These functions should do the same thing, but I have a different F value! How it's possible? Which is the right functions?

如果两个不同的图像中两个点X1和X2是相同，则X2 ^ T * F * X1 = 0 ...
所以我通过使用SURF从两个旋转的图像（5度）找到两个对应的点，但是对于这两个特征，X2 ^ T * F * X1永远不等于零。
任何想法？

If two points X1 and X2 are "the same" in two different images, X2^T*F*X1 = 0 ... So I found two corresponded points from two rotated images (5 degrees) by using SURF, but X2^T*F*X1 is never equal to zero with this two funtcions. Any ideas?

而是如果我使用这个函数从匹配点计算F：

Instead if I use this function that computes F from matches points:

< ransac fit基本矩阵由Peter Kovesi： rransacfitfundmatrix.m

• ransac fit fundamental matrix by Peter Kovesi: ransacfitfundmatrix.m

我有那个X2 ^ T * F * X1 = 0 ....显然F不同于两个FI ...

I have that X2^T*F*X1 = 0 .... Obviously F is different from the two F I had with the other two functions...

推荐答案

基本矩阵只有 >。

The fundamental matrix is unique only up to a scale.

所以，即使你有不同的基本矩阵，两者都可以正确的你的图像。

So, even if you have different fundamental matrices, both can be correct for your images.

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