Name
Title | ||
|---|---|---|
The unique solution of projective invariants of six points from four uncalibrated images |
Abstract | ||
|---|---|---|
In this paper, we show that four uncalibrated images are sufficient to uniquely determine the 3D projective invariants of a set of six points in general position in space. An algorithm for computing the unique solution is proposed. It computes by solving a set of linear equations for its two linear independent solutions and is simpler than other algorithms which compute the three possible solutions of 3D projective invariants by solving a set of nonlinear equations. However, a fourth image is needed to get the linear unique solution. Finally, experimental results have shown the feasibility of this algorithm. |
Year | DOI | Venue |
|---|---|---|
1997 | 10.1016/S0031-3203(96)00088-X | Pattern Recognition |
Keywords | Field | DocType |
Computer vision,3D projective invariants,Uncalibrated images,Unique solution | Blocking set,Linear independence,Nonlinear system,Artificial intelligence,Linear equation,Topology,General position,Algebra,Pattern recognition,Invariant (mathematics),Pencil (mathematics),Mathematics,Projective space | Journal |
Volume | Issue | ISSN |
30 | 3 | 0031-3203 |
Citations | PageRank | References |
2 | 0.53 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yan Xiong | 1 | 2 | 0.53 |
| Peng Jiaxiong | 2 | 45 | 8.03 |
| Mingyue Ding | 3 | 261 | 41.04 |
| Dong-Hui Xue | 4 | 2 | 0.53 |