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Geophysical Retrieval, Inverse Problems in Remote Sensing

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Encyclopedia of Remote Sensing

Part of the book series: Encyclopedia of Earth Sciences Series ((EESS))

Definition

Forward model. Quantitative tool for simulation of observables for a given set of model parameters.

Forward problem. System of differential equations with initial and/or boundary conditions, the solution of which, the forward solution, is used for simulation of observables.

Forward solution. Solution of the forward problem.

Instrument model. Quantitative procedure for evaluation of observables from the forward solution, which models the characteristics of the instrument and the procedure for measurements.

Inverse problem. Mathematical problem, usually in the form of a matrix equation, the solution of which, the inverse solution, represents an estimate of the state vector.

Model parameters. Parameters of the forward problem contained in its differential equations and initial and/or boundary conditions.

Observables. Output parameters of the forward model, which simulate the quantities measured in the geophysical retrieval.

Sensitivities. Partial or variational derivatives of observables...

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Bibliography

  • Korn, G. A., and Korn, T. M., 2000. Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review. New York: Dover Civil and Mechanical Engineering.

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  • Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 2007. Numerical Recipes, 3rd edn. New York/Melbourne/Madrid/Cape Town/Singapore/Saõ Paulo: Cambridge University Press/The Art of Scientific Computing.

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  • Rodgers, C. D., 2000. Inverse Methods for Atmospheric Sounding: Theory and Practice. Singapore: World Scientific.

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Acknowledgment

This research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the NASA.

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Authors and Affiliations

  1. Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA

    Eugene Ustinov

Authors
  1. Eugene Ustinov
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Corresponding author

Correspondence to Eugene Ustinov .

Editor information

Editors and Affiliations

  1. Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California, USA

    Eni G. Njoku

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© 2014 Springer Science+Business Media New York

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Ustinov, E. (2014). Geophysical Retrieval, Inverse Problems in Remote Sensing. In: Njoku, E.G. (eds) Encyclopedia of Remote Sensing. Encyclopedia of Earth Sciences Series. Springer, New York, NY. https://doi.org/10.1007/978-0-387-36699-9_54

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