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.
Original language | English |
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Pages (from-to) | 1082-1111 |
Number of pages | 30 |
Journal | IMA Journal of Applied Mathematics |
Volume | 84 |
Issue number | 6 |
DOIs | |
Publication status | Published - 27 Dec 2019 |
Keywords
- Störmer-Verlet
- damped Hamiltonian system
- image denoising
- inverse problems
- nonlinear flow
- p-Laplace
- p-parabolic
- regularization
- symplectic method
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Baravdish, G., Svensson, O., Gulliksson, M., & Zhang, Y. (2019). Damped second order flow applied to image denoising. IMA Journal of Applied Mathematics, 84(6), 1082-1111. https://doi.org/10.1093/imamat/hxz027