Sensitivity analysis in remote sensing [electronic resource]

• 作者： Ustinov, Eugene A.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • SpringerBriefs in earth sciences,
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： SpringerBriefs in earth sciences,
• 主題： Remote sensing , Earth sciences , Earth System Sciences. , Mathematical Applications in the Physical Sciences. , Remote Sensing/Photogrammetry. , Mathematical Modeling and Industrial Mathematics. , Mathematical Methods in Physics. , Signal, Image and Speech Processing.
• ISBN： 9783319158419 (electronic bk.) 、 9783319158402 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 1. Introduction: Remote Sensing and Sensitivity Analysis -- 2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index.
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• 摘要註: This book contains a detailed presentation of general principles of sensitivity analysis as well as their applications to sample cases of remote sensing experiments. An emphasis is made on applications of adjoint problems, because they are more efficient in many practical cases, although their formulation may seem counterintuitive to a beginner. Special attention is paid to forward problems based on higher-order partial differential equations, where a novel matrix operator approach to formulation of corresponding adjoint problems is presented. Sensitivity analysis (SA) serves for quantitative models of physical objects the same purpose, as differential calculus does for functions. SA provides derivatives of model output parameters (observables) with respect to input parameters. In remote sensing SA provides computer-efficient means to compute the jacobians, matrices of partial derivatives of observables with respect to the geophysical parameters of interest. The jacobians are used to solve corresponding inverse problems of remote sensing. They also play an important role already while designing the remote sensing experiment, where they are used to estimate the retrieval uncertainties of the geophysical parameters with given measurement errors of the instrument, thus providing means for formulations of corresponding requirements to the specific remote sensing instrument. If the quantitative models of geophysical objects can be formulated in an analytic form, then sensitivity analysis is reduced to differential calculus. But in most cases, the practical geophysical models used in remote sensing are based on numerical solutions of forward problems - differential equations with initial and/or boundary conditions. As a result, these models cannot be formulated in an analytic form and this is where the methods of SA become indispensable. This book is intended for a wide audience. The beginners in remote sensing could use it as a single source, covering key issues of SA
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