What is an Inverse Problem?
Here is the latest snapshot of the book: main.pdf
Here is a link to Per Christian Hansen's Matlab regularization package
Link to Kasper
Van Wijk's page containing the Matlab code for the VRP problem.
News: 15 August 2000
Chapters 1 - 12: 1.5
Mb gzipped postscript. 10/20/98.
This include lots of recent bug fixes and has the table of contents and
bibliography. Note that this file uncompresses to about 6
Mb of postscript. On some Unix systems there is a default limit to
the size of files you can print. This can usually be fixed by giving
lpr a command line argument, such as -s. If you run into this problem
read the man page for lpr. Of course, you can always use ghostview or gv
to print only selected pages. I also fixed the labeling problem with
the lemmas in chapter 10.
Resources (emacs, xlisp-stat, etc)
Some toy software
Additional background material, lecture notes, software and links
Three recent papers
A new approach to incorporating geologic and geophysical inforamtion
into inverse calculations (Geophysical Joural International, 141,
713-723, 2000). Click
here for the postscript.
A case study of Bayesian inversion applied to full-waveform seismic data (Journal of Geophysical Research, 103 2759-2779, 1998). Treats the practical problems of how compute a priori distributions and data uncertainties for field data.Click here for the postscript.
Comparison of Bayesian methods with Tikhonov regularization. (Inverse Problems. 13, 323-349, 1997.) Computes resolution and bias in these two different schemes. Regularization methods bear a superficial similarity to Bayesian formulae, but the goals and conclusions are completely different. Click here for the postscript. Both of these papers were co-written with Wences Gouveia.
Annotated Reference List (books, papers, etc.)
Residual statics example. Start with the Readme file.
Here are the data files for the example in Chapter 11.