Variational Methods in Image Segmentation

• A review article that appeared in the Notices of the American Mathematical Society, Variational PDE Models in Image Processing, by T. Chan, J. Shen, and L. Vese.
• Mathematical Problems in Image Processing by Gilles Aubert and Pierre Kornprobst, Springer-Verlag, 2002.
• Level Set Methods and Dynamic Implicit Surfaces, by Stanley Osher and Roald Fedkiw, Springer-Verlag, 2003.
• Geometric Partial Differential Equations and Image Analysis, by Guillermo Sapiro, Cambridge University Press, 2001.
• Active Contours Without Edges, by Luminita Vese and Tony Chan, IEEE Transactions on Image Processing, Vol. 10, No. 2, 266-277, Feb., 2001. Paper (pdf)
• A Multiphase Level Set Framework for Image Segmentation using the Mumford-Shah Model, by Luminita Vese and Tony Chan, UCLA Report 01-25, Sept. 2001.
  http://www.math.ucla.edu/applied/cam/index.html.
• Coupled Geodesic Active Regions for Image Segmentation, by Nikos Paragios and Rachid Deriche (INRIA, 1999). PDF article.