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shade_removal_isotropic_osmosis

Shade Removal Using Isotropic Osmosis

To solve the problem of shade removal from a given image while preserving the image geometry and texture underneath. We assume in the following constant shadows, i.e. where image intensity values inside and outside the shadow region are in relation with each other up to an (unknown) multiplicative constant.

References

[1] Joachim Weickert, Kai Hagenburg, Michael Breu, and Oliver Vogel. “Linear Osmosis Models For Visual Computing” Lecture Notes in Computer Science, Vol. 8081, pp. 26– 39, Springer, Berlin (2013) [2] Caliari, M., Kandolf, P., Ostermann, A., Rainer, S.: The Leja method revisited:Backward error analysis for the matrix exponential. SIAM Journal on Scientific Computing 38(3), 1639–1661 (2016). DOI 10.1137/15M1027620 [3]Al-Mohy, A.H., Higham, N.J.: Computing the action of the matrix exponential with an application to exponential integrators. SIAM Journal on Scientific Computing 33(2), 488–511 (2011). DOI 10.1137/10078886 [4] Borg, F.: What is osmosis? Explanation and understanding of a physical phenomenon. Technical report, Chydenius Institute, Jyva ̈skyla ̈ University, Karleby,Finland (2003) arXiv:physics/0305011v1. [5] Oliver Vogel, Kai Hagenburg, Joachim Weickert, and Simon Setzer “A fully Discrete Theory For Linear Osmosis Filtering” Lecture Notes in Computer Science, Vol. 7893, pp. 368-379, Springer, Berlin (2013).

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