William Reese, NC State, Bayesian Level Set Approaches for Inverse Problems with Piecewise Constant Reconstructions
ZoomThere are several challenges associated with inverse problems in which the unknown parameters can be modeled as piecewise constant functions. We model the unknown parameter using multiple level sets to represent the piecewise constant function. Adopting a Bayesian approach, we impose prior distributions on both the level set functions that determine the piecewise constant regions…