Advertisement

Grid Computing for Multi-Spectral Tomographic Reconstruction of Chlorophyll Concentration in Ocean Water

  • R. P. Souto
  • H. F. de Campos Velho
  • F. F. Paes
  • S. Stephany
  • P. O. A. Navaux
  • A. S. Charão
  • J. K. Vizzotto
Chapter

Abstract

In the last decades, the development of inversion methodologies for radiative transfer problems has been an important research topic in many branches of science and engineering [Go02, Mc92]. The direct or forward radiative transfer problem in hydrologic optics, in the steady state, involves the determination of the radiance distribution in a body of water, given the boundary conditions, source term, inherent optical properties (IOPs), such as the absorption and scattering coefficients, and the phase function. The inverse radiative transfer problem arises when physical properties, internal light sources, and/or boundary conditions must be estimated from radiometric measurements of the underwater light field. A challenge in the inverse hydrological optics problem is to determine the IOPs, considering only the water-leaving radiance.

The inverse problem is formulated as an optimization problem and iteratively solved using a recent intrinsic regularization scheme [PrEtAl04, SoEtAl04b] coupled to an ant colony optimization (ACO). The regularization scheme pre-selects candidate solutions based on their smoothness, quantified by a Tikhonov norm [PrEtAl04]. Profiles generated with the wrong curvature are filtered out using a second derivative criterion [SoEtAl09, SoEtAl07]. 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.

Keywords

Chlorophyll Attenuation Photosynthesis Chloro Verse 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [ChCV03]
    Chalhoub, E.S., Campos Velho, H.F.: Multispectral reconstruction of bioluminescence term in natural waters. Appl. Numer. Math., 47, 365–376 (2003).MATHCrossRefMathSciNetGoogle Scholar
  2. [Ch60]
    Chandrasekhar, S.: Radiative Transfer, Dover, New York (1960).Google Scholar
  3. [CiEtAl05]
    Cirne, W., Brasileiro, F., Paranhos, D., Costa, L., Santos-Neto, E., Osthoff, C.: Building a User-Level Grid for Bag-of-Tasks Applications in the HPC: Paradigm and Infrastructure, Wiley, New York (2005).Google Scholar
  4. [DoEtAl96]
    Dorigo, M., Maniezzo, V., Colorni, A.: The ant optimization: optimization by a colony of cooperating agents. IEEE Trans. Syst. Man Cybernet. Part B, 26, 29–41 (1996).CrossRefGoogle Scholar
  5. [Go84]
    Gordon, H.R.: Remote sensing marine bioluminescence: the role of the in-water scalar irradiance. Appl. Optimization, 24, 1694–1696 (1984).Google Scholar
  6. [Go02]
    Gordon, H.R.: Inverse methods in hydrologic optics. Oceanologia, 44, 9–58 (2002).Google Scholar
  7. [Mc92]
    McCormick, N.: Inverse radiative transfer problems: a review. Nuclear Sci. Engrg., 112, 185–198 (1992).Google Scholar
  8. [Mo94]
    Mobley, C.: Light and Water: Radiative Transfer in Natural Waters, Academic Press, New York (1994).Google Scholar
  9. [Mor91]
    Morel, A.: Light and marine photosynthesis: a spectral model with geochemical and climatological implications. Progress Oceanography, 26, 263–306 (1991).CrossRefGoogle Scholar
  10. [PrEtAl04]
    Preto, A.J., Campos Velho, H.F., Becceneri, J., Arai, N. Souto, R.P., Stephany, S.: A new regularization technique for an ant-colony-based inverse solver applied to a crystal growth problem, in 13th Inverse Problem in Engineering Seminar (2004), 147–153.Google Scholar
  11. [SoEtAl07]
    Souto, R.P., Barbosa, V.C., Campos Velho, H.F., Stephany, S.: Determining chlorophyll concentration in off-shore sea water from multispectral radiances by using second derivative criterion and ant colony meta-heuristic, in Inverse Problems, Design and Optimization Symposium. Vol. I (2007), 341–348.Google Scholar
  12. [SoEtAl09]
    Souto, R.P., Campos Velho, H.F., Stephany, S., Barbosa, V.C.: Multispectral inversion for chlorophyll concentration in offshore sea water by using the ant colony optimization and the second derivative criterion. J. Quant. Spectrosc. Radiat. Transfer (submitted).Google Scholar
  13. [SoEtAl04a]
    Souto, R.P., Campos Velho, H.F., Stephany, S., Chaulhoub, E.: Performance analysis of radiative transfer algorithms in a parallel environment. Transport Theory Stat. Phys., 33, 449–468 (2004).CrossRefGoogle Scholar
  14. [SoEtAl04b]
    Souto, R.P., Campos Velho, H.F., Stephany, S., Sandri, S.A.: Reconstruction of chlorophyll concentration profile in offshore ocean water using a parallel ant colony code, in Hybrid Metaheuristics (Proceedings) (2004), 19–24.Google Scholar
  15. [TiAr77]
    Tikhonov, A., Arsenin, V.: Solutions of Ill-Posed Problems, Winston & Sons, Washington, D.C. (1977).MATHGoogle Scholar

Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  • R. P. Souto
    • 1
  • H. F. de Campos Velho
    • 1
  • F. F. Paes
    • 1
  • S. Stephany
    • 1
  • P. O. A. Navaux
    • 2
  • A. S. Charão
    • 3
  • J. K. Vizzotto
    • 4
  1. 1.National Institute for Space ResearchSão José dos CamposBrazil
  2. 2.Universidade Federal do Rio Grande do SulPorto AlegreBrazil
  3. 3.Universidade Federal de Santa MariaSanta MariaBrazil
  4. 4.Centro Universitário FranciscanoSanta MariaBrazil

Personalised recommendations