Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Integrating Region Growing and Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
On active contour models and balloons
CVGIP: Image Understanding
A common framework for image segmentation
International Journal of Computer Vision
Multiscale minimization of global energy functions in some visual recovery problems
CVGIP: Image Understanding
A fast level set method for propagating interfaces
Journal of Computational Physics
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
IEEE Transactions on Pattern Analysis and Machine Intelligence
Gradient flows and geometric active contour models
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
A Statistical Approach to Snakes for Bimodal and Trimodal Imagery
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Geodesic Active Regions for Supervised Texture Segmentation
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Mean Shift Analysis and Applications
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Nonlinear Shape Statistics in Mumford-Shah Based Segmentation
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Level Lines as Global Minimizers of Energy Functionals in Image Segmentation
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part II
Bayesian Object Detection through Level Curves Selection
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
Model-Based Image Segmentation Using Local Self-Adapting Separation Criteria
Proceedings of the 23rd DAGM-Symposium on Pattern Recognition
Nonparametric Level-Set Segmentation Based on the Minimization of the Stochastic Complexity
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
Journal of Visual Communication and Image Representation
Geodesic active contours with adaptive neighboring influence
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Supervised texture detection in images
CAIP'05 Proceedings of the 11th international conference on Computer Analysis of Images and Patterns
Shape analysis and fuzzy control for 3d competitive segmentation of brain structures with level sets
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Segmenting highly articulated video objects with weak-prior random forests
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part IV
Coupled shape distribution-based segmentation of multiple objects
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
Fast and robust clinical triple-region image segmentation using one level set function
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
A multiphase level set based segmentation framework with pose invariant shape priors
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part II
Steerable semi-automatic segmentation of textured images
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
Segmentation and tracking of neural stem cell
ICIC'05 Proceedings of the 2005 international conference on Advances in Intelligent Computing - Volume Part II
Multi-Object geodesic active contours (MOGAC)
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
A multiple object geometric deformable model for image segmentation
Computer Vision and Image Understanding
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This paper presents a novel variational method for image segmentation that unifies boundary and region-based information sources under the Geodesic Active Region framework. A statistical analysis based on the Minimum Description Length criterion and the Maximum Likelihood Principle for the observed density function (image histogram) using a mixture of Gaussian elements, indicates the number of the different regions and their intensity properties. Then, the boundary information is determined using a probabilistic edge detector, while the region information is estimated using the Gaussian components of the mixture model. The defined objective function is minimized using a gradient-descent method where a level set approach is used to implement the resulting PDE system. According to the motion equations, the set of initial curves is propagated toward the segmentation result under the influence of boundary and region-based segmentation forces, and being constrained by a regularity force. The changes of topology are naturally handled thanks to the level set implementation, while a coupled multi-phase propagation is adopted that increases the robustness and the convergence rate by imposing the idea of mutually exclusive propagating curves. Finally, to reduce the required computational cost and the risk of convergence to local minima, a multi-scale approach is also considered. The performance of our method is demonstrated on a variety of real images.