In this dissertation a method to identify edges in blurred data based on higher order total variation regularization is presented. The variable order total variation regularization method approximates smooth parts of the signal with higher order polynomials while it is able to preserve jump discontinuities in the signal.compute the deconvolution. We showed that TV regularized deconvolution results in sharp and clear reconstructions of both noise-free synthetic seismograms and noise-contaminated real seismograms of a test case. The signal reconstructionanbsp;...
|Title||:||Total Variation Regularization for Linear Ill-posed Inverse Problems: Extensions and Applications|
|Publisher||:||ProQuest - 2008|