RamblemuseSM Annotated General Bibliography

 

Inverse Problems

Enting2005
[Enting2005]
Enting, I. G.: 2005. Inverse Problems in Atmospheric Constituent Transport (Cambridge Atmospheric and Space Science Series)., first, Cambridge University Press, ISBN: 0521018080, 408 pages, $68.00 USD.
open wedge Description
This book describes mathematical techniques for interpreting measurements of greenhouse gases in order to learn about their sources and sinks. The majority of the book gives general descriptions of techniques, but the last third covers the applications to carbon dioxide, methane, chlorofluorocarbons and other gases implicated in global change.
Evensen2006
[Evensen2006]
Evensen, Geir: 2006. Data Assimilation: The Ensemble Kalman Filter., 1, Springer, ISBN: 354038300X, 280 pages, $119.00 USD.
open wedge Description
Data Assimilation comprehensively covers data assimilation and inverse methods, including both traditional state estimation and parameter estimation. This text and reference focuses on various popular data assimilation methods, such as weak and strong constraint variational methods and ensemble filters and smoothers. It is demonstrated how the different methods can be derived from a common theoretical basis, as well as how they differ and/or are related to each other, and which properties characterize them, using several examples. Rather than emphasize a particular discipline such as oceanography or meteorology, it presents the mathematical framework and derivations in a way which is common for any discipline where dynamics is merged with measurements. The mathematics level is modest, although it requires knowledge of basic spatial statistics, Bayesian statistics, and calculus of variations. Readers will also appreciate the introduction to the mathematical methods used and detailed derivations, which should be easy to follow, are given throughout the book. The codes used in several of the data assimilation experiments are available on a web page. In particular, this webpage contains a complete ensemble Kalman filter assimilation system, which forms an ideal starting point for a user who wants to implement the ensemble Kalman filter with his/her own dynamical model. The focus on ensemble methods, such as the ensemble Kalman filter and smoother, also makes it a solid reference to the derivation, implementation and application of such techniques. Much new material, in particular related to the formulation and solution of combined parameter and state estimation problems and the general properties of the ensemble algorithms, is available here for the first time.
Gonzalez2007
[Gonzalez2007]
Gonzalez, Rafael C., Richard E. Woods: 2007. Digital Image Processing., 3, Prentice Hall, ISBN: 013168728X, 976 pages, $149.33 USD.
open wedge Description
The leader in the field for more than twenty years, this introduction to basic concepts and methodologies for digital image processing continues its cutting-edge focus on contemporary developments in all mainstream areas of image processing. Completely self-contained, heavily illustrated, and mathematically accessible, it has a scope of application that is not limited to the solution of specialized problems. Digital Image Fundamentals. Image Enhancement in the Spatial Domain. Image Enhancement in the Frequency Domain. Image Restoration. Color Image Processing. Wavelets and Multiresolution Processing. Image Compression. Morphological Image Processing. Image Segmentation. Representation and Description. Object Recognition. For technicians interested in the fundamentals and contemporary applications of digital imaging processing
Rodgers2000
[Rodgers2000]
Rodgers, Clive D.: 2000. Inverse Methods for Atmospheric Sounding : Theory and Practice (Series on Atmospheric Oceanic and Planetary Physics)., first, World Scientific Publishing Company, ISBN: 981022740X, 200 pages, $56.00 USD.
open wedge Description
Remote sounding of the atmosphere has proved to be a fruitful method of obtaining global information about the atmospheres of the earth and other planets. This book treats comprehensively the inverse problem of remote sounding, and discusses a wide range of retrieval methods for extracting atmospheric parameters of interest from the quantities (thermal emission, for example) that can be measured remotely. Inverse theory is treated in depth from an estimation-theory point of view, but practical questions are also emphasized, such as designing observing systems to obtain the maximum quantity of information, efficient numerical implementation of algorithms for processing large quantities of data, error analysis and approaches to the validation of the resulting retrievals. The book is targeted at graduate students as well as scientists.
Vogel2003
[Vogel2003]
Vogel, Curtis R.: 2003. Computational Methods for Inverse Problems (Frontiers in Applied Mathematics)., first, Society for Industrial Mathematics, ISBN: 0898715504, 199 pages, $65.50 USD.
open wedge Description
Inverse problems arise in a number of important practical applications, ranging from biomedical imaging to seismic prospecting. This book provides the reader with a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems. It also addresses specialized topics like image reconstruction, parameter identification, total variation methods, nonnegativity constraints, and regularization parameter selection methods. Because inverse problems typically involve the estimation of certain quantities based on indirect measurements, the estimation process is often ill-posed. Regularization methods, which have been developed to deal with this ill-posedness, are carefully explained in the early chapters of Computational Methods for Inverse Problems. The book also integrates mathematical and statistical theory with applications and practical computational methods, including topics like maximum likelihood estimation and Bayesian estimation. [Amazon's catalog has the right book but lists the wrong year of issue. The correct year is 2003].

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