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Estimation of Boundary Conditions from Different Experimental Data Using the LTSN Method and Tikhonov Regularization

Mario R. Retamoso, Haroldo F. de Campos Velho and Marco T. Vilhena

Chapter 33 in Integral Methods in Science and Engineering, 2002, pp 209-214 from Springer

Abstract: Abstract The development of inversion methodologies for radiative transfer problems has been an important research topic in many branches of science and engineering [1]. A general methodology for estimating many optical properties in natural waters has been established by using a technique for parameter or function estimation from in situ radiometric measurements. The algorithm is formulated as a constrained nonlinear optimization problem, in which the direct problem is iteratively solved for successive approximations of the unknown parameters. Iteration proceeds until an objective-function, representing the least-squares fit of model results and experimental data, converges to a specified small value. A regularization term is added to the objective function. This implicit algorithm has been applied to identify many properties in inverse hydrological optics (see [2] and [3]). A survey of these results can be found in [4].

Keywords: Nonlinear Optimization Problem; Good Reconstruction; Single Scattering Albedo; Discrete Ordinate; Polar Grid (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0111-3_33

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DOI: 10.1007/978-1-4612-0111-3_33

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