Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Recursive implementation of the Gaussian filter
Signal Processing
A variational level set approach to multiphase motion
Journal of Computational Physics
Region Competition: Unifying Snakes, Region Growing, and Bayes/MDL for Multiband Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geodesic Active Regions and Level Set Methods for Supervised Texture Segmentation
International Journal of Computer Vision
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
International Journal of Computer Vision
International Journal of Computer Vision
An Algorithm for Total Variation Minimization and Applications
Journal of Mathematical Imaging and Vision
Fast Global Minimization of the Active Contour/Snake Model
Journal of Mathematical Imaging and Vision
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Local Histogram Based Segmentation Using the Wasserstein Distance
International Journal of Computer Vision
A multiresolution flow-based multiphase image segmentation
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Multiphase Soft Segmentation with Total Variation and H1 Regularization
Journal of Mathematical Imaging and Vision
Joint variational segmentation of CT-PET data for tumoral lesions
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
A Multiphase Image Segmentation Method Based on Fuzzy Region Competition
SIAM Journal on Imaging Sciences
Variational color image segmentation via chromaticity-brightness decomposition
MMM'10 Proceedings of the 16th international conference on Advances in Multimedia Modeling
A new multiphase soft segmentation with adaptive variants
Applied Computational Intelligence and Soft Computing
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We describe a novel framework for two-phase image segmentation, namely the Fuzzy Region Competition. The functional involved in several existing models related to the idea of Region Competition is extended by the introduction of a fuzzy membership function. The new problem is convex and the set of its global solutions turns out to be stable under thresholding, operation that also provides solutions to the corresponding classical formulations. The advantages are then shown in the piecewise-constant case. Finally, motivated by medical applications such as angiography, we derive a fast algorithm for segmenting images into two non-overlapping smooth regions. Compared to existing piecewise-smooth approaches, this last model has the unique advantage of featuring closedform solutions for the approximation functions in each region based on normalized convolutions. Results are shown on synthetic 2D images and real 3D volumes.