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Dynamic emission tomography - regularization and inversion
Emission tomography subtracting the poison radon pathology emission source static pathological inverse
2015/8/11
The problem of emission tomography, inverting the attenuated Radon transform, is moderately ill-posed if the unknown emission source is static. Here we consider the case where the emission source is d...
Regularization of B-Spline Objects
Spline objects Regularization L2-gradient Finite element method
2012/8/8
By a d-dimensional B-spline object (denoted as Od), we mean a B-spline curve (d = 1), a
B-spline surface (d = 2) or a B-spline volume (d = 3). By regularization of a B-spline object
Od we mean a pro...
Regularization of Linear Ill-posed Problems by the Augmented Lagrangian Method and Variational Inequalities
Regularization of Linear Ill-posed Problems Augmented Lagrangian Method Variational Inequalities Numerical Analysis
2012/4/23
We study the application of the Augmented Lagrangian Method to the solution of linear ill-posed problems. Previously, linear convergence rates with respect to the Bregman distance have been derived un...
Quasi-Reversibility Regularization Method for Solving a Backward Heat Conduction Problem
Back Heat Conduction Ill-Posed Problem Quasi-Reversibility Regularization
2013/1/30
Non-standard backward heat conduction problem is ill-posed in the sense that the solution(if it exists) does not depend continuously on the data. In this paper, we propose a regularization strategy-qu...