Overview

The remote sensing of earth from space is a nonlinear problem of estimating physical parameters from measurements. From an analytical point of view, it is a case of radiative transfer in inhomogeneous plane-parallel and spherical media. This book provides a modern treatment of both direct and inverse problems applicable to the remote sensing of earth from space or from the air. Starting from a physical description of the process, the authors develop innovative mathematical models, fundamental mathematics for the analysis of these models, and methods for obtaining computational solutions. Also featured are the results of recent research using this approach. For example, invariant imbedding techniques, associative memory artificial neural networks, and the automatic evaluation of derivatives have been used to solve inverse problems. This book covers uniform parallel illumination, internal sources, and incident spotlight beams, making it indispensable for researchers working to reduce the atmospheric distortion of remotely sensed terrestrial images.

Full Product Details

Author:   Harriet H. Natsuyama ,  Sueo Ueno ,  Alan P. Wang
Publisher:   Springer Verlag, Japan
Imprint:   Springer Verlag, Japan
Edition:   Softcover reprint of the original 1st ed. 1998
Dimensions:   Width: 15.50cm , Height: 1.60cm , Length: 23.50cm
Weight:   0.468kg
ISBN:  

9784431702061

ISBN 10:   4431702067
Pages:   292
Publication Date:   01 March 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

1. Basic Concepts.- 1.1 Introduction.- 1.2 Invariant imbedding and a simple model of reflection.- 1.3 Computation of reflection function.- 1.4 Internal intensity and source functions.- 1.5 Physical/mathematical descriptions.- 1.6 Intensity of radiation and source function.- 1.7 Discussion.- 2. Inhomogeneous Plane-Parallel Atmospheres.- 2.1 Introduction.- 2.2 Diffuse Reflection and Transmission.- 2.3 Computational method and results.- 2.4 Internal Intensity and Source Functions.- 2.5 Internal Emitting Sources.- 2.6 Reflecting Surfaces.- 2.7 Omnidirectional Illumination.- 2.8 Discussion.- 3. Inverse Problems.- 3.1 Introduction.- 3.2 Associative memories.- 3.3 Quasilinearization.- 3.4 FEED automatic derivative evaluation.- 3.5 Inverse problems for inhomogeneous media and effect of criterion on estimates.- 3.6 Other inversion techniques.- 3.7 Discussion.- 4. Anisotropic Scattering.- 4.1 Introduction.- 4.2 Phase function dependent on polar angles.- 4.3 Phase function expandable in Legendre polynomials.- 4.4 Estimation of Phase Function.- 4.5 Flux Equivalences.- 4.6 Three-Dimensional Reflection and Transmission.- 4.7 Concluding Remarks.- 5. Finite Orders of Scattering.- 5.1 Introduction.- 5.2 Scattering and Transmission Functions of Finite Order.- 5.3 The Auxiliary Equation and its Solution.- 5.4 Cumulative Functions.- 5.5 Discussion.- 6. Scattering Matrix.- 6.1 Introduction.- 6.2 The Scattering Matrix.- 6.3 The Homogeneous Medium.- 6.4 The Transport Equation.- 6.5 The Star-Semi-Group.- 6.6 The n Terms Solutions.- 6.7 The Discrete Case.- 6.8 The Time-Dependent Case.- 6.9 Concluding Remarks.- 7. Atmospheric Correction.- 7.1 Introduction.- 7.2 Radiative Processes in the Atmosphere.- 7.3 Atmospheric Correction for Landsat Data.- 7.4 Atmospheric Correction for Aircraft Data.- 7.5Outline of the AECS Software.- 7.6 General Models and Approximations.- 7.7 Results and Discussion.- References.- 8. Topographic Effects in Terrestrial Remote Sensing.- 8.1 Introduction.- 8.2 Flat Terrain.- 8.3 Rugged Terrain.- 8.4 Model Rendering.- 8.5 Topographic and atmospheric correction of satellite data.- 8.6 Discussion.- 9. Searchlight Problem.- 9.1 Introduction.- 9.2 Basic Equations.- 9.3 Equation of Transfer.- 9.4 Asymptotic Solutions.- 9.5 Approximations.- 9.6 Numerical Simulation.- 9.7 Conclusions.- 10. Transfer of Radiation with Spherical Symmetry.- 10.1 Introduction.- 10.2 Intensity and Operations.- 10.3 Transfer of Radiation.- 10.4 Coefficients of the Medium.- 10.5 State and Local Form.- 10.6 The Reflecting Core.- 10.7 Special Cases and Applications.- 10.8 Numerical Solution of Functional Equations for Spherical Geometry.- 10.9 Numerical Estimation of Derivatives.- 10. 10 Perturbation Approximation.- 10.11 Numerical Results.- 10.12 Discussion.- 11. Bibliography.- A. Appendix A.- The Physical Problem of Radiative Transfer.- A.1 The Intensity of Radiation.- A.2 The Absorption and the Scattering Coefficients.- A.3 The Phase Function.- A.4 The Emission Coefficient, The Mean Intensity and the Source Function.- A.5 The Net Flux and the Density of Radiation.- A.6 The Equation of Transfer.- A.7 Discussion.- References.- B. Appendix B.- Derivation and Validation of Imbedding Equations.- B.1 Introduction.- B.2 Source Function.- B.2.1 Integral equation.- B.2.2 Derivation of the integral equation.- B.2.4 Analytical derivation of the imbedding equations.- B.3 Reflected Intensities.- B.3.2 Imbedding equations.- B.4 Internal Intensities.- B.4.1 Introduction.- B.4.2 Imbedding equations.- B.4.3 Discussion.- B.5 The Fredholm Resolvent.- B.5.1 Resolvent for Fredholm integralequations.- B.5.2 Resolvent for radiative transfer in a homogeneous slab.- B.5.3 Invariant imbedding for the resolvent.- B.6 Discussion.- References.- C. Appendix C.- Greenhouse Effect.- C.1 Introduction.- C.2 Integral Equation for Source Function.- C.3 Invariant Imbedding.- C.4 Computational Method.- C.5 Computational Results.- References.- D. Appendix D.- Identification of an Atmospheric Medium.- D.1 Introduction.- D.3 Scattering Matrix from Inputs and Outputs.- D.4 Relationship between Scattering Matrices.- D.5 Conclusion.- References.

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