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A mathematical and algorithmic study of the lambertian sfs problem for orthographic and pinhole cameras (2003).
| Content Provider | CiteSeerX |
|---|---|
| Author | Prados, Emmanuel Faugeras, Olivier Odyssee, Projet |
| Abstract | This report proposes a mathematical and algorithmic study of the Lambertian SFS problem for orthographic and pinhole cameras. Our approach is based upon the notion of viscosity solutions of Hamilton-Jacobi equations. This approach provides a mathematical framework in whichwe can prove the well-posedness of the problem (proof of the existence of a solution and characterization of all solutions). This mathematical approach allows also to prove the correctness of our methods. In particular, we describe a simple monotonous stability condition for the studied decentered schemes and we prove the convergence of their solutions toward the viscosity solution of the associated Hamilton-Jacobi-Bellman equation. Also, we show that this theory naturally applies to the SFS problems. |
| File Format | |
| Publisher Date | 2003-01-01 |
| Access Restriction | Open |
| Subject Keyword | Algorithmic Study Lambertian Sfs Problem Pinhole Camera Viscosity Solution Mathematical Framework Mathematical Approach Hamilton-jacobi Equation Studied Decentered Scheme Hamilton-jacobi-bellman Equation Simple Monotonous Stability Condition Sfs Problem |
| Content Type | Text |