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Variational PDE models and methods for image processing. (English) Zbl 0953.68621
Griffiths, D. F. (ed.) et al., Numerical analysis 1999. Proceedings of the 18th Dundee biennial conference, Univ. of Dundee, GB, June 29th - July 2nd, 1999. Boca Raton, FL: Chapman & Hall/ CRC. Chapman Hall/CRC Res. Notes Math. 420, 43-67 (2000).
Summary: We describe some numerical techniques for the total variation image restoration method, namely some preconditioning issues and modular solvers for the solution of the Euler-Lagrange equations when constraints are present. We also highlight extension of this technique to handle color images, and to reduce the staircasing effect. Finally, we present segmentation and active contour techniques based on the Mumford-Shah model.
For the entire collection see [Zbl 0938.00012].

68U10 Computing methodologies for image processing