Image Segmentation with Partial Differential Equations

Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

Stanley Osher, James A. Sethian · Journal of Computational Physics · 1988 · 13.9K citations · Full text

Computing, Computer Science, Computational Geometry +8

Active contours without edges

Tony F. Chan, Luminita A. Vese · IEEE Transactions on Image Processing · 2001 · 10.3K citations

Computing, Computer Science, Computer Vision +13

Optimal approximations by piecewise smooth functions and associated variational problems

David Mumford, Jayant Shah · Communications on Pure and Applied Mathematics · 1989 · 5.2K citations · Full text

Natural Sciences, Computational Engineering, Computational Mechanics +13

Level set evolution for boundary extraction based on a p-Laplace equation

Bin Zhou, Chunlai Mu · Applied Mathematical Modelling · 2010 · 31 citations

Natural Sciences, Computational Engineering, Computational Fluid Dynamics +13

Image segmentation with a Sobolev gradient method

Robert J. Renka · Nonlinear Analysis · 2008 · 24 citations

Computing, Computer Science, Computer Vision +8