1. Iterative reconstruction algorithm for non‐linear operators
- Author
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Scott Napier, Douglas W. Oldenburg, Robert Eso, and Felix J. Herrmann
- Subjects
Nonlinear system ,Noise ,Optimization problem ,Computer science ,Iterative method ,Penalty method ,Iterative reconstruction ,Inverse problem ,Algorithm ,Image (mathematics) - Abstract
the goal of geophysical inversion is to recover a model (or suite of models) from some set of observations d. It is often the case that the inverse problem of equation 1 is ill-posed, and solutions must be regularized. Additionally, the data image d is usually contaminated by noise. To overcome these difficulties, the inverse problem is formulated as an optimization problem in which an estimate mrec of the true model m is obtained by minimizing the penalty function
- Published
- 2008
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