A uniqueness result in the theory of stereo vision: Coupling shape from shading and binocular information allows unambiguous depth reconstruction

DOI10.1016/S0294-1449(16)30195-0zbMath0837.35146MaRDI QIDQ1904198

Antonin Chambolle

Publication date: 19 May 1996

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1994__11_1_1_0

zbMATH Keywords

uniquenessviscosity solutionshape from shading theorytheory of sterio vision

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Geometric optics (78A05)

Related Items

Analysis and approximation of some shape-from-shading models for non-Lambertian surfaces ⋮ ε-Optimal Value and Approximate Multidimensional Dual Dynamic Programming ⋮ New possibilities in image diffusion and sharpening via high-order Sobolev gradient flows ⋮ Partial differential equations for zooming, deinterlacing and dejittering ⋮ A Comparison of Non-Lambertian Models for the Shape-from-Shading Problem ⋮ Minimizing sequences in class-qualified deposit problems ⋮ Curvature-driven PDE methods for matrix-valued images ⋮ Pontryagin's maximum principle for multidimensional control problems in image processing

Cites Work

• Unnamed Item
• On the Hamilton-Jacobi-Bellman equations
• Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited
• A Viscosity Solutions Approach to Shape-From-Shading