Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Watersheds in Digital Spaces: An Efficient Algorithm Based on Immersion Simulations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Simple points, topological numbers and geodesic neighborhoods in cubic grids
Pattern Recognition Letters
A unified linear-time algorithm for computing distance maps
Information Processing Letters
Introduction to Algorithms
Watersnakes: Energy-Driven Watershed Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Automated Segmentation of the Left and Right Ventricles in 4D Cardiac SPAMM Images
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part I
Journal of Mathematical Imaging and Vision
Quasi-Linear Algorithms for the Topological Watershed
Journal of Mathematical Imaging and Vision
The Viscous Watershed Transform
Journal of Mathematical Imaging and Vision
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
A Lattice Approach to Image Segmentation
Journal of Mathematical Imaging and Vision
A Locally Constrained Watershed Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
Random Walks for Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image and Vision Computing
Discrete bisector function and Euclidean skeleton in 2D and 3D
Image and Vision Computing
Watershed Cuts: Minimum Spanning Forests and the Drop of Water Principle
IEEE Transactions on Pattern Analysis and Machine Intelligence
Automatic segmentation of the left ventricle cavity and myocardium in MRI data
Computers in Biology and Medicine
Watersheds, mosaics, and the emergence paradigm
Discrete Applied Mathematics - Special issue: Advances in discrete geometry and topology (DGCI 2003)
Watershed Cuts: Thinnings, Shortest Path Forests, and Topological Watersheds
IEEE Transactions on Pattern Analysis and Machine Intelligence
Automated, accurate and fast segmentation of 4D cardiac MR images
FIMH'07 Proceedings of the 4th international conference on Functional imaging and modeling of the heart
Multi-surface cardiac modelling, segmentation, and tracking
FIMH'05 Proceedings of the Third international conference on Functional Imaging and Modeling of the Heart
Automatic cardiac 4d segmentation using level sets
FIMH'05 Proceedings of the Third international conference on Functional Imaging and Modeling of the Heart
Attribute-filtering and knowledge extraction for vessel segmentation
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part I
Recovering endocardial walls from 3D TEE
FIMH'11 Proceedings of the 6th international conference on Functional imaging and modeling of the heart
An unbiased and intervoxel watershed algorithm for 3d image segmentation
ICIAR'12 Proceedings of the 9th international conference on Image Analysis and Recognition - Volume Part I
Segmentation of the left ventricle in cardiac cine MRI using a shape-constrained snake model
Computer Vision and Image Understanding
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Based on discrete mathematical morphology, we introduce in this paper a new watershed framework which allows for segmenting spatio-temporal images, that we apply to medical image analysis. Specifically, we propose a new automated and fast procedure to segment the left ventricular myocardium in 4D (3D+t) cine-MRI sequences. Both quantitative and qualitative evaluation are provided. Thanks to the comparison with manual segmentation performed by two cardiologists, we demonstrate the accuracy of the proposed method. The relevance of the ejection fraction and myocardium mass measured from segmentations is also assessed. Furthermore, we show that the proposed 4D procedure allows to keep the temporal coherency between the successive 3D segmentations obtained along the time sequence. In an effort to promote open science, both the data and the software are available on-line.