Name
Abstract | ||
|---|---|---|
This paper introduces an extension of Hartley's self- calibration technique (8) based on properties of the essen- tial matrix, allowing for the stable computation of varying focal lengths and principal point. It is well known that the three singular values of an essential must satisfy two con- ditions: one of them must be zero and the other two must be identical. An essential matrix is obtained from the fun- damental matrix by a transformation involving the intrin- sic parameters of the pair of cameras associated with the two views. Thus, constraints on the essential matrix can be translated into constraints on the intrinsic parameters of the pair of cameras. This allows for a search in the space of intrinsic parameters of the cameras in order to minimize a cost function related to the constraints. This approach is shown to be simpler than other methods, with comparable accuracy in the results. Another advantage of the technique is that it does not require as input a consistent set of weakly calibrated camera matrices (as defined by Hartley) for the whole image sequence, i.e., a set of cameras consistent with the correspondences and known up to a projective transfor- mation. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1109/CVPR.1999.786984 | CVPR |
Keywords | Field | DocType |
singular value,layout,computer vision,cost function,calibration,closed form solution,satisfiability,tensile stress | Computer vision,Essential matrix,Eight-point algorithm,Singular value,Computer science,Matrix (mathematics),Focal length,Homography,Artificial intelligence,Fundamental matrix (computer vision),Computation | Conference |
Volume | Issue | ISSN |
1 | 1 | 1063-6919 |
Citations | PageRank | References |
48 | 2.27 | 13 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Paulo R. S. Mendonça | 1 | 610 | 50.38 |
| Roberto Cipolla | 2 | 9413 | 827.88 |