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Numerical Regularization for Atmospheric Inverse Problems

  • Book
  • © 2010

Overview

Authors:
  1. Adrian Doicu

    1. und Raumfahrt e. V., Remote Sensing Technology Institute, DLR Deutsches Zentrum für Luft-, Weßling, Germany

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  2. Thomas Trautmann

    1. Raumfahrt (DLR), Inst. Physik der Atmosphäre,, Deutsches Zentrum für Luft- und, Weßling, Germany

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  3. Franz Schreier

    1. Luft- und Raumfahrt (DLR), GeoForschungsZentrum Potsdam, Deutsches Zentrum für, Weßling, Germany

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  • Presents regularization methods for atmospheric retrieval, based on the authors work
  • Focuses on computational aspects but also provides some theoretical results
  • Surveys the state-of-the-art numerical methods for solving discrete ill-posed problems
  • Anlayzes the existing numerical alorithms and discusses practical implementation issues
  • Illustrates with examples from atmospheric remote sensing the variouis methods in action
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Praxis Books (PRAXIS)

Part of the book sub series: Environmental Sciences (ENVIRONSCI)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Remote sensing of the atmosphere

    • Adrian Doicu, Thomas Trautmann, Franz Schreier
    Pages 1-21

  3. Ill-posedness of linear problems

    • Adrian Doicu, Thomas Trautmann, Franz Schreier
    Pages 23-38

  4. Tikhonov regularization for linear problems

    • Adrian Doicu, Thomas Trautmann, Franz Schreier
    Pages 39-106

  5. Statistical inversion theory

    • Adrian Doicu, Thomas Trautmann, Franz Schreier
    Pages 107-140

  6. Iterative regularization methods for linear problems

    • Adrian Doicu, Thomas Trautmann, Franz Schreier
    Pages 141-162

  7. Tikhonov regularization for nonlinear problems

    • Adrian Doicu, Thomas Trautmann, Franz Schreier
    Pages 163-220

  8. Iterative regularization methods for nonlinear problems

    • Adrian Doicu, Thomas Trautmann, Franz Schreier
    Pages 221-250

  9. Total least squares

    • Adrian Doicu, Thomas Trautmann, Franz Schreier
    Pages 251-270

  10. Two direct regularization methods

    • Adrian Doicu, Thomas Trautmann, Franz Schreier
    Pages 271-284

  11. Back Matter

    Pages 424-426
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Keywords

About this book

The retrieval problems arising in atmospheric remote sensing belong to the class of the - called discrete ill-posed problems. These problems are unstable under data perturbations, and can be solved by numerical regularization methods, in which the solution is stabilized by taking additional information into account. The goal of this research monograph is to present and analyze numerical algorithms for atmospheric retrieval. The book is aimed at physicists and engineers with some ba- ground in numerical linear algebra and matrix computations. Although there are many practical details in this book, for a robust and ef?cient implementation of all numerical algorithms, the reader should consult the literature cited. The data model adopted in our analysis is semi-stochastic. From a practical point of view, there are no signi?cant differences between a semi-stochastic and a determin- tic framework; the differences are relevant from a theoretical point of view, e.g., in the convergence and convergence rates analysis. After an introductory chapter providing the state of the art in passive atmospheric remote sensing, Chapter 2 introduces the concept of ill-posedness for linear discrete eq- tions. To illustrate the dif?culties associated with the solution of discrete ill-posed pr- lems, we consider the temperature retrieval by nadir sounding and analyze the solvability of the discrete equation by using the singular value decomposition of the forward model matrix.

Authors and Affiliations

  • und Raumfahrt e. V., Remote Sensing Technology Institute, DLR Deutsches Zentrum für Luft-, Weßling, Germany

    Adrian Doicu

  • Raumfahrt (DLR), Inst. Physik der Atmosphäre,, Deutsches Zentrum für Luft- und, Weßling, Germany

    Thomas Trautmann

  • Luft- und Raumfahrt (DLR), GeoForschungsZentrum Potsdam, Deutsches Zentrum für, Weßling, Germany

    Franz Schreier

Bibliographic Information

  • Book Title: Numerical Regularization for Atmospheric Inverse Problems

  • Authors: Adrian Doicu, Thomas Trautmann, Franz Schreier

  • Series Title: Springer Praxis Books

  • DOI: https://doi.org/10.1007/978-3-642-05439-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Earth and Environmental Science, Earth and Environmental Science (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2010

  • Hardcover ISBN: 978-3-642-05438-9Published: 08 September 2010

  • Softcover ISBN: 978-3-642-42401-4Published: 31 October 2014

  • eBook ISBN: 978-3-642-05439-6Published: 16 July 2010

  • Edition Number: 1

  • Number of Pages: XIII, 426

  • Additional Information: Jointly published with Praxis Publishing, UK

  • Topics: Monitoring/Environmental Analysis

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