Variational Methods
1. Notes on deriving Euler-Lagrange equation
2. A paper on removing noise from image (with Poisson noise)
3. Another (more theoretical) paper on image recovery.
4. A more general article on variational PDE method in image processing.
5. The paper started Chan-Vese model in 2001.
6. The classical paper of Rudin, Osher, and Fameti (ROF model)
7. The classical Mumford-Shah paper (very theoretical!) is here. Many implementations are made for various cases: paper1, paper2, paper3, paper4.
8. The active contour method as variational problems (This paper has been cited almost 10,000 times!).