Preface ......................................................... v
About the Editors ............................................. vii
Contributors ................................................. xiii
Volume 2
Modeling the System Earth, Analytical and Statistical
Methods, Computational and Numerical Algorithms
24 Noise Models for Ill-Posed Problems ........................ 741
Paul N. Eggermont, Vincent LaRiccia, M. Zuhair Nashed
25 Sparsity in Inverse Geophysical Problems ................... 763
Markus Grasmair, Markus Haltmeier, Otmar Scherzer
26 Quantitative Remote Sensing Inversion in Earth Science:
Theory and Numerical Treatment ............................. 785
Yanfei Wang
27 Multiparameter Regularization in Downward Continuation of
Satellite Data ............................................. 813
Shuai Lu, Sergei V. Pereverzev
28 Correlation Modeling of the Gravity Field in Classical
Geodesy .................................................... 833
Christopher Jekeli
29 Modeling Uncertainty of Complex Earth Systems in Metric
Space ...................................................... 865
Jef Caers, Kwangwon Park, Céline Scheldt
30 Slepian Functions and Their Use in Signal Estimation
and Spectral Analysis ...................................... 891
Frederik J. Simons
31 Special Functions in Mathematical Geosciences: An Attempt
at a Categorization ........................................ 925
Willi Freeden, Michael Schreiner
32 Tomography: Problems and Multiscale Solutions .............. 949
Volker Michel
33 Material Behavior: Texture and Anisotropy .................. 973
Ralf Hielscher, David Mainprice, Helmut Schaeben
34 Dimensionality Reduction of Hyperspectral Imagery Data
for Feature Classification ................................ 1005
Charles K. Chui, Jianzhong Wang
35 Oblique Stochastic Boundary-Value Problem ................. 1051
Martin Grothaus, Thomas Raskop
36 Geodetic Deformation Analysis with Respect to an
Extended Uncertainty Budget ............................... 1077
Hansjörg Kutterer
37 Mixed Integer Estimation and Validation for Next
Generation GNSS ........................................... 1101
Peter J.G. Teunissen
38 Mixed Integer Linear Models ............................... 1129
Peiliang Xu
39 Statistical Analysis of Climate Series .................... 1159
Helmut Pruscha
40 Numerical Integration on the Sphere ....................... 1187
Kerstin Hesse, Ian H. Sloan, Robert S. Womersley
41 Multiscale Approximation .................................. 1221
Stephan Dahlke
42 Sparse Solutions of Underdetermined Linear Systems ........ 1243
Inna Kozlov, Alexander Petukhov
43 Multidimensional Seismic Compression by Hybrid Transform
with Multiscale Based Coding .............................. 1261
Amir Z. Averbuch, Valery A. Zheludev, Dan D. Kosloff
44 Cartography ............................................... 1289
Liqiu Meng
45 Geoinformatics ............................................ 1313
Monika Sester
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