Integrating clustering with level set method for piecewise constant Mumford-Shah model

Image segmentation using level sets and the piecewise-constant Mumford-Shah model

Gamma-Convergence Approximation to Piecewise Constant Mumford-Shah Segmentation

Piecewise constant Mumford-Shah segmentation [17] has been rediscovered by Chan and Vese [6] in the context of region based active contours. The work of Chan and Vese demonstrated many practical applications thanks to their clever numerical implementation using the level-set technology of Osher and Sethian [18]. The current work proposes a Γ -convergence formulation to the piecewise constant Mu...

Discrete Optimization of the Multiphase Piecewise Constant Mumford-Shah Functional

The Mumford-Shah model has been one of the most powerful models in image segmentation and denoising. The optimization of the multiphase Mumford-Shah energy functional has been performed using level sets methods that optimize the Mumford-Shah energy by evolving the level sets via the gradient descent. These methods are very slow and prone to getting stuck in local optima due to the use of the gr...

A Mumford-Shah Level-Set Approach for Geometric Image Registration

A new, fully automated method for non-rigid registration of multimodal images is presented. Due to the large interdependance of segmentation and registration, the approach is based on simultaneous segmentation and edge-alignment. The two processes are directly coupled and thus benefits from using complementary information of the entire underlying dataset. It is formulated as a variational joint...

Robust Edge Detection Using Mumford-Shah Model and Binary Level Set Method

A new approximation of the Mumford-Shah model is proposed for edge detection, which could handle open-ended curves and closed curves as well. The essential idea is to treat the curves by narrow regions, and use a sharp interface technique to solve the approximate Mumford-Shah model. A fast algorithm based on the augmented Lagrangian method is developed. Numerical results show that the proposed ...