Numerical shape-from-shading for discontinuous photographic images

International Journal of Computer Vision

Volumn 44, Issue 3, 2001, Pages 163-173

  Kain, Joseph ^a   Ostrov, Daniel N ^a  

^a NONE

Author keywords

Convergent numerical methods; Discontinuous Hamilton Jacobi equations; Shape from shading; Viscosity solutions

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; PHOTOGRAPHY; SURFACE PHENOMENA; VISCOSITY;

DISCONTINUOUS PHOTOGRAPHIC IMAGES;

IMAGE ANALYSIS;

EID: 0035454638     PISSN: 09205691     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1012235914303     Document Type: Article

References (27)

1. Convergence of approximation schemes for fully nonlinear second order equations
2. On shape from shading
3. The Eikonal equation: Some results applicable to computer vision
4. Some properties of viscosity solutions of Hamilton-Jacobi equations
5. Viscosity solutions of Hamilton-Jacobi equations
6. Markov chain approximations for deterministic control problems with affine dynamics and quadratic cost in the control
7. An optimal control formulation and related numerical methods for a problem in shape reconstruction
8. Some remarks on shape from shading
9. A method for enforcing integrability in shape-from-shading algorithms
10. Obtaining shapes from shading information
11. Hamilton-Jacobi equations with discontinuous Hamiltonians on arbitrary open subsets
12. A simple, direct proof of uniqueness for solutions of the Hamilton-Jacobi equations of Eikonal type
13. Tracking level sets by level sets: A method for solving the shape from shading problem
14. Global shape from shading
15. Shape from shading: Level set propagation and viscosity solutions
16. Shape-from-shading, viscosity solutions, and edges
17. Extending viscosity solutions to eikonal equations with discontinuous spatial dependence
18. A viscosity solutions approach to shape-from-shading
19. A fast marching level set method for monotonically advancing fronts
20. Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
21. A comparison theorem for a piecewise Lipschitz continuous Hamiltonian and application to shape-from-shading problems
22. Efficient algorithms for globally optimal trajectories