I'm using the eigen library to calculate the fundamental matrix from two cameras using the 8 point algorithm. The 8 point algorithm needs the last column of the V matrix.
Comparing the results to matlab I discovered that Eigen's SVD function does not return an 8x9 V matrix (n-by-p) as matlab does but instead an 8x8 one where the 2 last columns have different values.
The Eigen documentation says "You can ask for only thin U or V to be computed, meaning the following. In case of a rectangular n-by-p matrix, letting m be the smaller value among n and p, there are only m singular vectors; the remaining columns of U and V do not correspond to actual singular vectors. Asking for thin U or V means asking for only their m first columns to be formed. So U is then a n-by-m matrix, and V is then a p-by-m matrix."
Does anyone know how to get the missing column from Eigen?