Visual reconstruction
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Simultaneous Parameter Estimation and Segmentation of Gibbs Random Fields Using Simulated Annealing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Introduction to statistical pattern recognition (2nd ed.)
Introduction to statistical pattern recognition (2nd ed.)
Unsupervised Texture Segmentation Using Markov Random Field Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Visual reconstruction with discontinuities using variational methods
Image and Vision Computing
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Evolutionary fronts for topology-independent shape modeling and recovery
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Variational methods in image segmentation
Variational methods in image segmentation
Region-based strategies for active contour models
International Journal of Computer Vision
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
International Journal of Computer Vision
A Variational Method in Image Recovery
SIAM Journal on Numerical Analysis
A Variational Model for Image Classification and Restoration
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Deterministic edge-preserving regularization in computed imaging
IEEE Transactions on Image Processing
Variational approach for edge-preserving regularization using coupled PDEs
IEEE Transactions on Image Processing
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
International Journal of Computer Vision
Using Prior Shapes in Geometric Active Contours in a Variational Framework
International Journal of Computer Vision
International Journal of Computer Vision
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
Two Variational Models for Multispectral Image Classification
EMMCVPR '01 Proceedings of the Third International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
Deformable Contour Method: A Constrained Optimization Approach
International Journal of Computer Vision
Motion Competition: A Variational Approach to Piecewise Parametric Motion Segmentation
International Journal of Computer Vision
Multiregion Level-Set Partitioning of Synthetic Aperture Radar Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Coupled Parametric Active Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Iterative Local-Global Energy Minimization for Automatic Extraction of Objects of Interest
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Segmentation Using Some Piecewise Constant Level Set Methods with MBO Type of Projection
International Journal of Computer Vision
Optical aerial image partitioning using level sets based on modified Chan-Vese model
Pattern Recognition Letters
Motion and Appearance Nonparametric Joint Entropy for Video Segmentation
International Journal of Computer Vision
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
A Variational Level Set Method for Multiple Object Detection
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
Image Processing by Topological Asymptotic Expansion
Journal of Mathematical Imaging and Vision
Design of piezoelectric actuators using a multiphase level set method of piecewise constants
Journal of Computational Physics
Unsupervised multiphase segmentation: A recursive approach
Computer Vision and Image Understanding
Region-based Deformable Net for automatic color image segmentation
Image and Vision Computing
A Statistical Overlap Prior for Variational Image Segmentation
International Journal of Computer Vision
Modeling interaction for segmentation of neighboring structures
IEEE Transactions on Information Technology in Biomedicine
Preferential image segmentation using trees of shapes
IEEE Transactions on Image Processing
CoCRF deformable model: a geometric model driven by collaborative conditional random fields
IEEE Transactions on Image Processing
Joint brain parametric T1-map segmentation and RF inhomogeneity calibration
Journal of Biomedical Imaging
Automatic clinical image segmentation using pathological modeling, PCA and SVM
Engineering Applications of Artificial Intelligence
Fuzzy energy-based active contours
IEEE Transactions on Image Processing
Detection and tracking of coronal mass ejections based on supervised segmentation and level set
Pattern Recognition Letters
Classification Using Geometric Level Sets
The Journal of Machine Learning Research
A multiphase level set framework for motion segmentation
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Embedding a region merging prior in level set vector-valued image segmentation
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part I
Image segmentation that optimizes global homogeneity in a variational framework
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part II
The multiplicative path toward prior-shape guided active contour for object detection
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part II
Image segmentation using a generalized fast level set method
ISPRA'10 Proceedings of the 9th WSEAS international conference on Signal processing, robotics and automation
Effective level set image segmentation with a kernel induced data term
IEEE Transactions on Image Processing
Multiphase joint segmentation-registration and object tracking for layered images
IEEE Transactions on Image Processing
On the Length and Area Regularization for Multiphase Level Set Segmentation
International Journal of Computer Vision
Variational region-based segmentation using multiple texture statistics
IEEE Transactions on Image Processing
A Multiphase Image Segmentation Method Based on Fuzzy Region Competition
SIAM Journal on Imaging Sciences
Multiphase image segmentation using a phase-field model
Computers & Mathematics with Applications
Piecewise constant level set method for structural topology optimization with MBO type of projection
Structural and Multidisciplinary Optimization
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
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
Automatic clinical image segmentation using pathological modelling, PCA and SVM
MLDM'05 Proceedings of the 4th international conference on Machine Learning and Data Mining in Pattern Recognition
Energy minimization based segmentation and denoising using a multilayer level set approach
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Piecewise constant level set methods and image segmentation
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Combined geometric-texture image classification
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Journal of Biomedical Imaging - Special issue on Mathematical Methods for Images and Surfaces 2011
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
Information Sciences: an International Journal
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We present a supervised classification model based on a variational approach. This model is devoted to find an optimal partition composed of homogeneous classes with regular interfaces. The originality of the proposed approach concerns the definition of a partition by the use of level sets. Each set of regions and boundaries associated to a class is defined by a unique level set function. We use as many level sets as different classes and all these level sets are moving together thanks to forces which interact in order to get an optimal partition. We show how these forces can be defined through the minimization of a unique fonctional. The coupled Partial Differential Equations (PDE) related to the minimization of the functional are considered through a dynamical scheme. Given an initial interface set (zero level set), the different terms of the PDE's are governing the motion of interfaces such that, at convergence, we get an optimal partition as defined above. Each interface is guided by internal forces (regularity of the interface), and external ones (data term, no vacuum, no regions overlapping). Several experiments were conducted on both synthetic and real images.