Title
Nonlinear Flows for Displacement Correction and Applications in Tomography.
Abstract
In this paper we derive nonlinear evolution equations associated with a class of non-convex energy functionals which can be used for correcting displacement errors in imaging data. We show a preliminary convergence result of a relaxed convexification of the non-convex optimization problem. Some properties on the behavior of the solutions of these filtering flows are studied by numerical analysis. At the end, we provide examples for correcting angular perturbations in tomographical data.
Year
DOI
Venue
2017
10.1007/978-3-319-58771-4_23
Lecture Notes in Computer Science
Keywords
Field
DocType
Non-convex regularization,Nonlinear flow,Displacement correction,Radon transform,Angular perturbation
Convergence (routing),Applied mathematics,Nonlinear system,Filter (signal processing),Tomography,Numerical analysis,Classical mechanics,Radon transform,Optimization problem,Mathematics,Perturbation (astronomy)
Conference
Volume
ISSN
Citations 
10302
0302-9743
0
PageRank 
References 
Authors
0.34
5
2
Name
Order
Citations
PageRank
Guozhi Dong121.11
Otmar Scherzer234652.10