Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
International Journal of Computer Vision
Global Minimum for Active Contour Models: A Minimal Path Approach
International Journal of Computer Vision
A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration
SIAM Journal on Scientific Computing
Weighted ENO Schemes for Hamilton--Jacobi Equations
SIAM Journal on Scientific Computing
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures
SIAM Journal on Numerical Analysis
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
International Journal of Computer Vision
A Geometric Approach to Segmentation and Analysis of 3D Medical Images
MMBIA '96 Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96)
Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing
Journal of Scientific Computing
An Algorithm for Total Variation Minimization and Applications
Journal of Mathematical Imaging and Vision
A Variational Approach to Remove Outliers and Impulse Noise
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision
Dual Norms and Image Decomposition Models
International Journal of Computer Vision
Globally Optimal Geodesic Active Contours
Journal of Mathematical Imaging and Vision
Structure-Texture Image Decomposition--Modeling, Algorithms, and Parameter Selection
International Journal of Computer Vision
Global minimization of the active contour model with TV-Inpainting and two-phase denoising
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Recursive median filters of increasing order: a variationalapproach
IEEE Transactions on Signal Processing
A property of the minimum vectors of a regularizing functionaldefined by means of the absolute norm
IEEE Transactions on Signal Processing
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Convex Hodge Decomposition of Image Flows
Proceedings of the 30th DAGM symposium on Pattern Recognition
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part I
Convex Hodge Decomposition and Regularization of Image Flows
Journal of Mathematical Imaging and Vision
Unsupervised multiphase segmentation: A recursive approach
Computer Vision and Image Understanding
An Improved LOT Model for Image Restoration
Journal of Mathematical Imaging and Vision
Local Histogram Based Segmentation Using the Wasserstein Distance
International Journal of Computer Vision
An Unconstrained Multiphase Thresholding Approach for Image Segmentation
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
A Variational Model for Interactive Shape Prior Segmentation and Real-Time Tracking
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Pose Invariant Shape Prior Segmentation Using Continuous Cuts and Gradient Descent on Lie Groups
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
A grid based particle method for evolution of open curves and surfaces
Journal of Computational Physics
Globally Optimal Finsler Active Contours
Proceedings of the 31st DAGM Symposium on Pattern Recognition
Tracking as Segmentation of Spatial-Temporal Volumes by Anisotropic Weighted TV
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
A fast optimization transfer algorithm for image inpainting in wavelet domains
IEEE Transactions on Image Processing
CIARP '09 Proceedings of the 14th Iberoamerican Conference on Pattern Recognition: Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
A Novel Method for Enhanced Needle Localization Using Ultrasound-Guidance
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
Optimal Weights for Convex Functionals in Medical Image Segmentation
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
The piecewise smooth Mumford-Shah functional on an arbitrary graph
IEEE Transactions on Image Processing
Fuzzy region competition: a convex two-phase segmentation framework
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
A duality based approach for realtime TV-L1 optical flow
Proceedings of the 29th DAGM conference on Pattern recognition
Shape-based Invariant Texture Indexing
International Journal of Computer Vision
Multiphase Soft Segmentation with Total Variation and H1 Regularization
Journal of Mathematical Imaging and Vision
Integrating local distribution information with level set for boundary extraction
Journal of Visual Communication and Image Representation
Unsupervised texture segmentation using active contours driven by the Chernoff gradient flow
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Adaptive Variational Method for Restoring Color Images with High Density Impulse Noise
International Journal of Computer Vision
Geometric Applications of the Split Bregman Method: Segmentation and Surface Reconstruction
Journal of Scientific Computing
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
Automatic three-label bone segmentation from knee MR images
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
An Augmented Lagrangian Method for TVg+L1-norm Minimization
Journal of Mathematical Imaging and Vision
CO3 for ultra-fast and accurate interactive segmentation
Proceedings of the international conference on Multimedia
A continuous max-flow approach to potts model
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part VI
Radial basis function based level set interpolation and evolution for deformable modelling
Image and Vision Computing
Journal of Visual Communication and Image Representation
Automatic segmentation of neonatal images using convex optimization and coupled level set method
MIAR'10 Proceedings of the 5th international conference on Medical imaging and augmented reality
DTI connectivity by segmentation
MIAR'10 Proceedings of the 5th international conference on Medical imaging and augmented reality
Segmentation for hyperspectral images with priors
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
Split Bregman method for minimization of region-scalable fitting energy for image segmentation
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
Image restoration under mixed noise using globally convex segmentation
Journal of Visual Communication and Image Representation
A Multiphase Image Segmentation Method Based on Fuzzy Region Competition
SIAM Journal on Imaging Sciences
Global Minimization for Continuous Multiphase Partitioning Problems Using a Dual Approach
International Journal of Computer Vision
Performance evaluation on segmentation methods for medical images
ACAI '11 Proceedings of the International Conference on Advances in Computing and Artificial Intelligence
Highly consistent sequential segmentation
SCIA'11 Proceedings of the 17th Scandinavian conference on Image analysis
A convex max-flow segmentation of LV using subject-specific distributions on cardiac MRI
IPMI'11 Proceedings of the 22nd international conference on Information processing in medical imaging
Global relabeling for continuous optimization in binary image segmentation
EMMCVPR'11 Proceedings of the 8th international conference on Energy minimization methods in computer vision and pattern recognition
Discrete optimization of the multiphase piecewise constant mumford-shah functional
EMMCVPR'11 Proceedings of the 8th international conference on Energy minimization methods in computer vision and pattern recognition
A convex active contour region-based model for image segmentation
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
Robust active contour segmentation with an efficient global optimizer
ACIVS'11 Proceedings of the 13th international conference on Advanced concepts for intelligent vision systems
A hybrid approach based on MEP and CSP for contour registration
Applied Soft Computing
A fully implicit framework for Sobolev active contours and surfaces
DAGM'11 Proceedings of the 33rd international conference on Pattern recognition
Leaf segmentation and tracking using probabilistic parametric active contours
MIRAGE'11 Proceedings of the 5th international conference on Computer vision/computer graphics collaboration techniques
Joint histogram modelling for segmentation multiple sclerosis lesions
MIRAGE'11 Proceedings of the 5th international conference on Computer vision/computer graphics collaboration techniques
A framework for intrinsic image processing on surfaces
Computer Vision and Image Understanding
A comparative study of ultrasound image segmentation algorithms for segmenting kidney tumors
Proceedings of the 4th International Symposium on Applied Sciences in Biomedical and Communication Technologies
Geometry of total variation regularized Lp-model
Journal of Computational and Applied Mathematics
Journal of Scientific Computing
Variational color image segmentation via chromaticity-brightness decomposition
MMM'10 Proceedings of the 16th international conference on Advances in Multimedia Modeling
Fast finsler active contours and shape prior descriptor
CIARP'11 Proceedings of the 16th Iberoamerican Congress conference on Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
Entropy-Scale profiles for texture segmentation
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Efficient minimization of the non-local potts model
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Framelet-Based algorithm for segmentation of tubular structures
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Completely Convex Formulation of the Chan-Vese Image Segmentation Model
International Journal of Computer Vision
A Fast Fixed Point Algorithm for Total Variation Deblurring and Segmentation
Journal of Mathematical Imaging and Vision
Harris function based active contour external force for image segmentation
Pattern Recognition Letters
A robust patch-statistical active contour model for image segmentation
Pattern Recognition Letters
Segmentation of prostate using interactive finsler active contours and shape prior
ICISP'12 Proceedings of the 5th international conference on Image and Signal Processing
Reduced set density estimator for object segmentation based on shape probabilistic representation
Journal of Visual Communication and Image Representation
A convex relaxation method for computing exact global solutions for multiplicative noise removal
Journal of Computational and Applied Mathematics
Variational nonlocal image segmentation using split-Bregman
Proceedings of the 4th International Conference on Internet Multimedia Computing and Service
Journal of Visual Communication and Image Representation
Automatic segmentation of human facial tissue by MRI-CT fusion: A feasibility study
Computer Methods and Programs in Biomedicine
An active contour model driven by anisotropic region fitting energy for image segmentation
Digital Signal Processing
Nonconvex sparse regularizer based speckle noise removal
Pattern Recognition
Uzawa block relaxation methods for color image restoration
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume 2
Proceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing
Journal of Scientific Computing
Texture aware image segmentation using graph cuts and active contours
Pattern Recognition
Linear convergence analysis of the use of gradient projection methods on total variation problems
Computational Optimization and Applications
Kinect-Based easy 3D object reconstruction
PCM'12 Proceedings of the 13th Pacific-Rim conference on Advances in Multimedia Information Processing
Variational and PCA based natural image segmentation
Pattern Recognition
IScIDE'12 Proceedings of the third Sino-foreign-interchange conference on Intelligent Science and Intelligent Data Engineering
Interactive object segmentation from multi-view images
Journal of Visual Communication and Image Representation
Active contour model for simultaneous MR image segmentation and denoising
Digital Signal Processing
Multi-agent stochastic level set method in image segmentation
Computer Vision and Image Understanding
SmartVisionApp: A framework for computer vision applications on mobile devices
Expert Systems with Applications: An International Journal
Journal of Scientific Computing
Coupling Image Restoration and Segmentation: A Generalized Linear Model/Bregman Perspective
International Journal of Computer Vision
A new multiphase soft segmentation with adaptive variants
Applied Computational Intelligence and Soft Computing
Ultrasound kidney segmentation with a global prior shape
Journal of Visual Communication and Image Representation
Computers in Biology and Medicine
Information Sciences: an International Journal
A Super-Resolution Framework for High-Accuracy Multiview Reconstruction
International Journal of Computer Vision
A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models
Journal of Mathematical Imaging and Vision
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The active contour/snake model is one of the most successful variational models in image segmentation. It consists of evolving a contour in images toward the boundaries of objects. Its success is based on strong mathematical properties and efficient numerical schemes based on the level set method. The only drawback of this model is the existence of local minima in the active contour energy, which makes the initial guess critical to get satisfactory results. In this paper, we propose to solve this problem by determining a global minimum of the active contour model. Our approach is based on the unification of image segmentation and image denoising tasks into a global minimization framework. More precisely, we propose to unify three well-known image variational models, namely the snake model, the Rudin---Osher---Fatemi denoising model and the Mumford---Shah segmentation model. We will establish theorems with proofs to determine the existence of a global minimum of the active contour model. From a numerical point of view, we propose a new practical way to solve the active contour propagation problem toward object boundaries through a dual formulation of the minimization problem. The dual formulation, easy to implement, allows us a fast global minimization of the snake energy. It avoids the usual drawback in the level set approach that consists of initializing the active contour in a distance function and re-initializing it periodically during the evolution, which is time-consuming. We apply our segmentation algorithms on synthetic and real-world images, such as texture images and medical images, to emphasize the performances of our model compared with other segmentation models.