Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Hands: a pattern theoretic study of biological shapes
Hands: a pattern theoretic study of biological shapes
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Active shape models—their training and application
Computer Vision and Image Understanding
A variational level set approach to multiphase motion
Journal of Computational Physics
Computable elastic distances between shapes
SIAM Journal on Applied Mathematics
Diffeomorphisms Groups and Pattern Matching in Image Analysis
International Journal of Computer Vision
Geodesic Active Regions and Level Set Methods for Supervised Texture Segmentation
International Journal of Computer Vision
Diffusion Snakes: Introducing Statistical Shape Knowledge into the Mumford-Shah Functional
International Journal of Computer Vision
Using Prior Shapes in Geometric Active Contours in a Variational Framework
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
Shape Priors for Level Set Representations
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
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
Geometric Level Set Methods in Imaging,Vision,and Graphics
Geometric Level Set Methods in Imaging,Vision,and Graphics
How To Deal with Point Correspondences and Tangential Velocities in the Level Set Framework
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Natural Image Statistics for Natural Image Segmentation
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Analysis of Planar Shapes Using Geodesic Paths on Shape Spaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Motion Competition: A Variational Approach to Piecewise Parametric Motion Segmentation
International Journal of Computer Vision
Approximations of Shape Metrics and Application to Shape Warping and Empirical Shape Statistics
Foundations of Computational Mathematics
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
A Multiphase Dynamic Labeling Model for Variational Recognition-driven Image Segmentation
International Journal of Computer Vision
Dynamical Statistical Shape Priors for Level Set-Based Tracking
IEEE Transactions on Pattern Analysis and Machine Intelligence
Gaussian Processes for Machine Learning (Adaptive Computation and Machine Learning)
Gaussian Processes for Machine Learning (Adaptive Computation and Machine Learning)
Towards recognition-based variational segmentation using shape priors and dynamic labeling
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Efficient kernel density estimation of shape and intensity priors for level set segmentation
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Graph Cuts and Efficient N-D Image Segmentation
International Journal of Computer Vision
Dynamical Statistical Shape Priors for Level Set-Based Tracking
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
Nonparametric shape priors for active contour-based image segmentation
Signal Processing
Prior Knowledge, Level Set Representations & Visual Grouping
International Journal of Computer Vision
Simultaneous Segmentation and Pose Estimation of Humans Using Dynamic Graph Cuts
International Journal of Computer Vision
Nonlinear Dynamical Shape Priors for Level Set Segmentation
Journal of Scientific Computing
Computer Vision and Image Understanding
Motion and Appearance Nonparametric Joint Entropy for Video Segmentation
International Journal of Computer Vision
International Journal of Computer Vision
Tracking the Swimming Motions of C. elegans Worms with Applications in Aging Studies
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
Semiautomatic segmentation with compact shape prior
Image and Vision Computing
GeoS: Geodesic Image Segmentation
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part I
Joint Parametric and Non-parametric Curve Evolution for Medical Image Segmentation
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part I
Multi-Reference Shape Priors for Active Contours
International Journal of Computer Vision
Intrinsic Bayesian Active Contours for Extraction of Object Boundaries in Images
International Journal of Computer Vision
Cooperative Object Segmentation and Behavior Inference in Image Sequences
International Journal of Computer Vision
Appearance and Shape Prior Alignments in Level Set Segmentation
IbPRIA '09 Proceedings of the 4th Iberian Conference on Pattern Recognition and Image Analysis
Image Segmentation Using Graph Representations and Local Appearance and Shape Models
GbRPR '09 Proceedings of the 7th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition
Graph cuts with many-pixel interactions: Theory and applications to shape modelling
Image and Vision Computing
A Generic Probabilistic Active Shape Model for Organ Segmentation
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part II
Level Set Gait Analysis for Synthesis and Reconstruction
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part II
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
Extended Phase Field Higher-Order Active Contour Models for Networks
International Journal of Computer Vision
Simultaneous object classification and segmentation with high-order multiple shape models
IEEE Transactions on Image Processing
Joint appearance and deformable shape for nonparametric segmentation
Proceedings of the 2nd conference on Human motion: understanding, modeling, capture and animation
Introducing shape priors in object-based tomographic reconstruction
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Multiple shape models for simultaneous object classification and segmentation
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Video segmentation based on motion coherence of particles in a video sequence
IEEE Transactions on Image Processing
PICE: prior information constrained evolution for 3-D and 4-D brain tumor segmentation
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
On the Length and Area Regularization for Multiphase Level Set Segmentation
International Journal of Computer Vision
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part III
Robust rigid shape registration method using a level set formulation
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part II
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
Image segmentation using the multiphase level set in multiple color spaces
AICI'11 Proceedings of the Third international conference on Artificial intelligence and computational intelligence - Volume Part II
A shape prior constraint for implicit active contours
Pattern Recognition Letters
A Probabilistic Contour Observer for Online Visual Tracking
SIAM Journal on Imaging Sciences
Nonparametric density estimation for human pose tracking
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
One-Shot integral invariant shape priors for variational segmentation
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
A new prior shape model for level set segmentation
CIARP'11 Proceedings of the 16th Iberoamerican Congress conference on Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
Spaces and manifolds of shapes in computer vision: An overview
Image and Vision Computing
PWP3D: Real-Time Segmentation and Tracking of 3D Objects
International Journal of Computer Vision
Reduced set density estimator for object segmentation based on shape probabilistic representation
Journal of Visual Communication and Image Representation
A survey of graph theoretical approaches to image segmentation
Pattern Recognition
Image segmentation with one shape prior - A template-based formulation
Image and Vision Computing
A generative model for simultaneous estimation of human body shape and pixel-level segmentation
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part V
Dynamic multi-view exploration of shape spaces
EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
International Journal of Computer Vision and Image Processing
Computers in Biology and Medicine
Region-based image segmentation with local signed difference energy
Pattern Recognition Letters
Computer Vision and Image Understanding
Journal of Mathematical Imaging and Vision
Iterative Graph Cuts for Image Segmentation with a Nonlinear Statistical Shape Prior
Journal of Mathematical Imaging and Vision
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In this paper, we make two contributions to the field of level set based image segmentation. Firstly, we propose shape dissimilarity measures on the space of level set functions which are analytically invariant under the action of certain transformation groups. The invariance is obtained by an intrinsic registration of the evolving level set function. In contrast to existing approaches to invariance in the level set framework, this closed-form solution removes the need to iteratively optimize explicit pose parameters. The resulting shape gradient is more accurate in that it takes into account the effect of boundary variation on the object's pose.Secondly, based on these invariant shape dissimilarity measures, we propose a statistical shape prior which allows to accurately encode multiple fairly distinct training shapes. This prior constitutes an extension of kernel density estimators to the level set domain. In contrast to the commonly employed Gaussian distribution, such nonparametric density estimators are suited to model aribtrary distributions.We demonstrate the advantages of this multi-modal shape prior applied to the segmentation and tracking of a partially occluded walking person in a video sequence, and on the segmentation of the left ventricle in cardiac ultrasound images. We give quantitative results on segmentation accuracy and on the dependency of segmentation results on the number of training shapes.