Conic Reconstruction and Correspondence From Two Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Linear Algorithm for Computing the Homography from Conics in Correspondence
Journal of Mathematical Imaging and Vision
Minimal Projective Reconstruction Including Missing Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Quadratic surface reconstruction from multiple views using SQP
Integrated image and graphics technologies
| Hi-index | 0.00 |
The joint invariants of a pair of coplanar conics has been widely used in recent vision literature. In this paper, the algebraic invariant of a pair of non-coplanar conics in space is concerned. The algebraic invariant of a pair of non-coplanar conics is first derived from the invariant algebra of a pair of quaternary quadratic forms by using the dual representation of space conics. Then, this algebraic invariant is geometrically interpreted in terms of cross-ratios. Finally, an analytical procedure for projective reconstruction of a space conic from two uncalibrated images is developed and the correspondence conditions of the conics between two views are also explicited.