Inference in Curved-Ray Tomography:  Solid Earth Structure
{'Code': '03040109', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Alvin I. Thaler', 'PO_EMAI': None, 'PO_PHON': None}
This research is concerned with inference in curved-ray                    tomography as applied to solid earth structure.  An objective                   is to analyze at a fundamental level the many steps of "data                    processing" involved in the current approaches to tomographic                   modeling; to estimate by simulation and otherwise what biases                   and errors they may contain; and to remedy the error by using                   modern techniques of estimation.  Another objective is to apply                 existing rigorous methods of extremal inversion to tomographic                  reconstruction.  These techniques will be applied to develop                    mathematical and software tools to determine precisely the                      extent to which it is possible to resolve features of the 3- D                  structure given the quantity and quality of the data available,                 accounting for nonlinearity of the problem using                                newly-developed methods of bounding the uncertainty in                          estimation of nonlinear funtionals.
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