CODEWITHSUNDEEP
computer-vision
oezguensi
oezguensi

Reputation: 950

Get known position in one image to another using 8-point algorithm

I have two images and and know the position of a point in the first image. Now I want to get the corresponding position in the second image.

This is my idea:

Can I now use F to calculate the corresponding point? enter image description here

Upvotes: 0

Views: 302

Answers (1)

fdermishin
fdermishin

Reputation: 3706

Using fundamental matrix F alone is not enough. If you have a point on one image, you can't find its position on the second image, because it depends not only on configuration of the cameras, but also on the distance from the camera to that point.

This can also be seen from the equation x2^T * F * x1 = 0. If you know x1 and F, then for x2 you get equation x2^T * b = 0, where b = F * x1. This is an equation of a point x2 lying on the line b (points x1, x2 and line b are in homogeneous coordinates). Although you cant find the exact position of the point on the second image, you know that it must lie somewhere on that line.

Hartley and Zisserman have a great explanation these of these concepts in their book Multiple View Geometry in Computer Vision. Be sure to check it out for more details.

Upvotes: 1

Related Questions