Uniqueness and Approximation of a Photometric Shape-from-Shading Model

DOI10.1137/110857258zbMath1279.68314OpenAlexW1977037410MaRDI QIDQ2873210

Maurizio Falcone, Roberto Mecca

Publication date: 23 January 2014

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/86d9856569a5e67a3ef81c55da4a074bf8b795ef

zbMATH Keywords

nonlinear systemsHamilton-Jacobi equationssemi-Lagrangian schemesphotometric stereoshape-from-shadingimplicit upwind finite difference scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Machine vision and scene understanding (68T45) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

Analysis and approximation of some shape-from-shading models for non-Lambertian surfaces ⋮ Direct differential photometric stereo shape recovery of diffuse and specular surfaces ⋮ A differential approach to shape from polarisation: a level-set characterisation ⋮ A Comparison of Non-Lambertian Models for the Shape-from-Shading Problem ⋮ Direct Variational Perspective Shape from Shading with Cartesian Depth Parametrisation ⋮ A Single-Lobe Photometric Stereo Approach for Heterogeneous Material

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