Variational phase recovering without phase unwrapping in phase-shifting interferometry

DOI10.1080/00207160.2018.1499899zbMath1481.78026arXiv2001.10493OpenAlexW3098798391WikidataQ58866723 ScholiaQ58866723MaRDI QIDQ5031858

Carlos Brito-Loeza, Ricardo Legarda-Sáenz, Arturo Espinosa-Romero, Alejandro Téllez Quiñones

Publication date: 16 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10493

zbMATH Keywords

phase retrievalimage reconstruction techniquesfringe analysis

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical optimization and variational techniques (65K10) Computing methodologies for image processing (68U10) Basic methods for problems in optics and electromagnetic theory (78M99) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) General topics in optics and electromagnetic theory (78A99)

Uses Software

• tvreg

Cites Work

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• Nonlinear total variation based noise removal algorithms
• Optimized first-order methods for smooth convex minimization
• A robust quantitative comparison criterion of two signals based on the Sobolev norm of their difference
• Step-size estimation for unconstrained optimization methods
• Adaptive restart for accelerated gradient schemes
• Iterative Methods for Total Variation Denoising

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