Existence and uniqueness in photometric stereo

DOI10.1016/0096-3003(91)90001-4zbMath0732.53005OpenAlexW1971668010MaRDI QIDQ808428

Ryszard Kozera

Publication date: 1991

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(91)90001-4

zbMATH Keywords

illuminationfirst-order nonlinear partial differential equationsLambertian surfacepoint light sources

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Surfaces in Euclidean and related spaces (53A05)

Related Items (9)

Analysis and approximation of some shape-from-shading models for non-Lambertian surfaces ⋮ A multi-image shape-from-shading framework for near-lighting perspective endoscopes ⋮ On complete integrals and uniqueness in shape from shading ⋮ A Comparison of Non-Lambertian Models for the Shape-from-Shading Problem ⋮ Optimisation of classic photometric stereo by non-convex variational minimisation ⋮ Application of computer algebra for the reconstruction of surfaces from their photometric stereo images ⋮ Application of computer algebra to photometric stereo with two light sources ⋮ Application of computer algebra to the reconstruction of surface from its photometric images ⋮ Solving uncalibrated photometric stereo using total variation

Cites Work

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• Some remarks on the shape-from-shading problem in computer vision
• Circularly symmetric eikonal equations and non-uniqueness in computer vision
• The eikonal equation: some results applicable to computer vision
• Shading without shape

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