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Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements

Posted on 2010-03-15




Name:Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements
ASIN/ISBN:0486694518
Language:English
File size:6.1 Mb
Publish Date: 1997-01
ISBN: 0486694518
Pages: 237 pages
File Type: PDF
File Size: 6,1 MB
Other Info: Dover Publications
   Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements

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S. Twomey, ""

In this hardcover edition, the author develops the background and fundamental theory of inversion processes used in remote sensing (e.g. atmospheric temperature structure measurements from satellites), starting at an elementary level. The book opens with a number of examples of inversion problems from a wide variety of disciplines and it is shown that mathematically the same problem--solution of a Fredholm linear integral equation of the first kind--is involved in every instance. The reduction of such integral equations to a system of linear algebraic equations is then discussed. Methods for obtaining stable solutions at the expense of introducing constraints in the solutions are discussed and illustrated and the last three chapters elaborate and extend the material developed in preceding chapters. Other inversion procedures are derived, with examples, and a method for detailed analysis of the information content of indirect measurements is provided. Unabridged, corrected Dover republication of the work published as Volume 3 of Developments in Geomathematics by Elsevier Scientific Publishing Company, Amsterdam, 1977.

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