Reconstruction of vertical profiles of the absorption and scattering coefficients from multispectral radiances

  • Authors:
  • R. P. Souto;H. F. Campos Velho;S. Stephany

  • Affiliations:
  • Postgraduate Program in Applied Computing (CAP/INPE), INPE--National Institute for Space Research, SP, Brazil;Laboratory for Computing and Applied Mathematics (LAC/INPE), INPE--National Institute for Space Research, SP, Brazil;Laboratory for Computing and Applied Mathematics (LAC/INPE), INPE--National Institute for Space Research, SP, Brazil

  • Venue:
  • Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras
  • Year:
  • 2006

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Abstract

An inverse hydrologic optics problem is solved using a recent intrinsic regularization scheme that is coupled to a standard Ant Colony System (ACS). The regularization scheme pre-selects candidate solutions based on their smoothness, quantified by a Tikhonov norm. The Chlorophyll profile is reconstructed from upwelling radiance experimental measurements in the ocean water using 10 wavelengths (multispectral approach) and upward polar directions. Vertical profiles of the absorption and scattering coefficients are estimated from the Chlorophyll profile by means of bio-optical models. The inverse problem is formulated as an optimization problem and iteratively solved by an ACS using the radiative transfer equation as direct model. An objective function is given by the square difference between computed and experimental radiances at every iteration. Each candidate solution corresponds to a discrete Chlorophyll profile. The radiative transfer equation is solved using the Laplace transform discrete ordinate (LTSN) method. A parallel implementation of the Ant Colony System is used and executed in a distributed memory machine.