A Single-Lobe Photometric Stereo Approach for Heterogeneous Material

DOI10.1137/16M1068177zbMath1375.94023OpenAlexW2553148085MaRDI QIDQ5266393

Roberto Mecca, Roberto Cipolla, Yvain Quéau, Fotios Logothetis

Publication date: 2 June 2017

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

Full work available at URL: https://doi.org/10.1137/16m1068177

zbMATH Keywords

variational methodphotometric stereodiffuse reflectionspecular reflectionquasi-linear pdessingle-lobe BRDF

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Machine vision and scene understanding (68T45) Boundary value problems for nonlinear first-order PDEs (35F30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Cites Work

• Unnamed Item
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• Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
• Direct differential photometric stereo shape recovery of diffuse and specular surfaces
• A closed-form, consistent and robust solution to uncalibrated photometric stereo via local diffuse reflectance maxima
• On variational approach to photometric stereo
• Practical matrix completion and corruption recovery using proximal alternating robust subspace minimization
• Uniqueness and Approximation of a Photometric Shape-from-Shading Model
• A Direct Differential Approach to Photometric Stereo with Perspective Viewing
• Perspective Shape from Shading: Ambiguity Analysis and Numerical Approximations
• A $$L^1$$-TV Algorithm for Robust Perspective Photometric Stereo with Spatially-Varying Lightings
• Direct analytical methods for solving Poisson equations in computer vision problems
• The variational approach to shape from shading
• Near Field Photometric Stereo with Point Light Sources