Abstract | ||
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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 |
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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 Dong | 1 | 2 | 1.11 |
Otmar Scherzer | 2 | 346 | 52.10 |