Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Local Versus Nonlocal Computation of Length of Digitized Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
A level set algorithm for minimizing the Mumford-Shah functional in image processing
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
Real-Time Tracking Using Level Sets
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Discrete curvature calculation for fast level set segmentation
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
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Mumford-Shah piecewise smooth functional is a variational PDE model widely used in image segmentation and smoothing. An analogous discrete model which models image as an MRF has also been built. In this paper, we propose another discrete Mumford-Shah piecewise smooth model on lattice from a different perspective. We present a discrete objective functional, as well as the method to find the solution. Only two simple and deterministic optimization techniques, that is, derivation and greedy algorithm are used in the model to seek the solution. Compared with traditional continuous model, the model in this paper is much simpler and the approach is much easier and faster.