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- Title
Damped second order flow applied to image denoising.
- Authors
Baravdish, G; Svensson, O; Gulliksson, M; Zhang, Y
- Abstract
In this paper, we introduce a new image denoising model: the damped flow (DF), which is a second order nonlinear evolution equation associated with a class of energy functionals of an image. The existence, uniqueness and regularization property of DF are proven. For the numerical implementation, based on the Störmer–Verlet method, a discrete DF, SV-DDF, is developed. The convergence of SV-DDF is studied as well. Several numerical experiments, as well as a comparison with other methods, are provided to demonstrate the efficiency of SV-DDF.
- Subjects
IMAGE denoising; FUNCTIONALS; MATHEMATICAL regularization; INVERSE problems; HAMILTONIAN systems; NONLINEAR evolution equations
- Publication
IMA Journal of Applied Mathematics, 2019, Vol 84, Issue 6, p1082
- ISSN
0272-4960
- Publication type
Article
- DOI
10.1093/imamat/hxz027