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

In: Integral Methods in Science and Engineering

Author

Listed:
  • Mario R. Retamoso
  • Haroldo F. de Campos Velho
  • Marco T. Vilhena

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].

Suggested Citation

  • Mario R. Retamoso & Haroldo F. de Campos Velho & Marco T. Vilhena, 2002. "Estimation of Boundary Conditions from Different Experimental Data Using the LTSN Method and Tikhonov Regularization," Springer Books, in: Christian Constanda & Peter Schiavone & Andrew Mioduchowski (ed.), Integral Methods in Science and Engineering, chapter 33, pages 209-214, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0111-3_33
    DOI: 10.1007/978-1-4612-0111-3_33
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