Solving Inverse Tomography Problems

1. Introduction. Inverse problems are encountered typically in situations where one makes indirect observations of a quantity of interest. Solving a inverse problem means determining the parameters of a model given a set of measurements. In solving practical inverse problems, accounting for the uncertainty of the solution is important in making decision. In this project, we explored an algorithm for solving a linear two-dimensional tomography inverse problem. In the algorithm we use a wavelet based multires-olution approach in addition to a Bayesian approach in attempts to solve this problem. Additional and background information about wavelets and the Bayesian approach can be found in [4] and [2]