Inverse Problems in Radiative Transfer: An Implicit Formulation

Antônio José da Silva Neto () and Haroldo Fraga de Campos Velho
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Antônio José da Silva Neto: Rio de Janeiro State University
Haroldo Fraga de Campos Velho: National Institute for Space Research (INPE)

Chapter Chapter 3 in Computational Intelligence Applied to Inverse Problems in Radiative Transfer, 2023, pp 19-28 from Springer

Abstract: Abstract In this chapter, some basic concepts in inverse problems are presented, with a focus on application in radiative transfer. A brief discussion is also made about the vector of unknowns to be determined and the experimental data to be used. For the implicit formulation of the inverse problem, i.e., as an optimization problem, the solution using the deterministic method of Levenberg–Marquardt (LM) is described. Questions regarding the existence and uniqueness of the solution, as well as the use of regularization techniques, are not addressed in this book. The main objective is to present the metaheuristics and the results obtained with the solution of inverse problems formulated in an implicit way, i.e., as optimization problems.

Keywords: Inverse problems; Implicit formulation; Single scattering albedo; Optical thickness; Diffuse reflectivity; Absorption coefficient; Scattering coefficient; Objective function; Levenberg–Marquardt (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-43544-7_3

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DOI: 10.1007/978-3-031-43544-7_3

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