Compute fundamental matrix with 8 point algorithm - image-processing

Question

I need to write an own implementation of computing the fundamental matrix between two images based on the corresponding image coordinates without using OpenCV.
Is it possible to describe this algorithm in its simplest form in accordance with the following function? a simple and straightforward formula.
FMatrixEightPoint()
Input Arguments:
points1(x,y)−pixel coordinates in the first image ,
corresponding to points2 in the second image
points2(x,y)−pixel coordinates in the second image ,
corresponding to points1 in the first image
Output :
F − the fundamental matrix between the first image and the second image

Answer 1

Yes, it is possible to describe the algorithm in the mentioned form.
If you would use OpenCV, you could just use findFundamentalMat. This also provides the 8-point method for computing the fundamental matrix.
The example (in C++) taken from the OpenCV documentation, but adapted (using the RANSAC algorithm for computing the fundamental matrix):
// Example. Estimation of fundamental matrix using the 8-point algorithm
int point_count = 8; // must be >= 8
vector<Point2f> points1(point_count);
vector<Point2f> points2(point_count);
// initialize the points here ... */
for( int i = 0; i < point_count; i++ )
{
points1[i] = ...;
points2[i] = ...;
}
Mat fundamental_matrix =
findFundamentalMat(points1, points2, CV_FM_8POINT);
If you want to write your own function, it would look like this (no valid code)
Matrix findFundamentalMat(Array points1, Array points2)
{
Matrix fundamentalMatrix;
// compute fundamental matrix based on input points1 and points2 or call OpenCV's findFundamentalMat
return fundamentalMatrix;
}