Alternating Direction Implicit (ADI) schemes for a PDE-based image osmosis model
Journal of Physics: Conference Series
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Calatroni, L., Estatico, C., Garibaldi, N., & Parisotto, S. (2017). Alternating Direction Implicit (ADI) schemes for a PDE-based image osmosis model. Journal of Physics: Conference Series, 904 (1)https://doi.org/10.1088/1742-6596/904/1/012014
© Published under licence by IOP Publishing Ltd. We consider Alternating Direction Implicit (ADI) splitting schemes to compute efficiently the numerical solution of the PDE osmosis model considered by Weickert et al. in  for several imaging applications. The discretised scheme is shown to preserve analogous properties to the continuous model. The dimensional splitting strategy traduces numerically into the solution of simple tridiagonal systems for which standard matrix factorisation techniques can be used to improve upon the performance of classical implicit methods, even for large time steps. Applications to the shadow removal problem are presented.
External DOI: https://doi.org/10.1088/1742-6596/904/1/012014
This record's URL: https://www.repository.cam.ac.uk/handle/1810/269931