Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Variational Approach for the Segmentation of the Left Ventricle in Cardiac Image Analysis
International Journal of Computer Vision
New Algorithms for Controlling Active Contours Shape and Topology
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part II
A Unified Framework for Atlas Matching Using Active Appearance Models
IPMI '99 Proceedings of the 16th International Conference on Information Processing in Medical Imaging
Gradient flows and geometric active contour models
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Construction of a 4D statistical atlas of the cardiac anatomy and its use in classification
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Dynamical statistical shape priors for level set based sequence segmentation
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
IEEE Transactions on Image Processing
Visualization and exploration of time-varying medical image data sets
GI '07 Proceedings of Graphics Interface 2007
Active Volume Models with Probabilistic Object Boundary Prediction Module
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
Left Ventricle Tracking Using Overlap Priors
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
A Closed-Form Solution for Image Sequence Segmentation with Dynamical Shape Priors
Proceedings of the 31st DAGM Symposium on Pattern Recognition
Level Set Image Segmentation with a Statistical Overlap Constraint
IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
Soft level set coupling for LV segmentation in gated perfusion SPECT
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Registration of cardiac SPECT/CT data through weighted intensity co-occurrence priors
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
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We develop a 4D (3D plus time) statistical shape model for implicit level set based shape representations. To this end, we represent hand segmented training sequences of the left ventricle by respective 4-dimensional embedding functions and approximate these by a principal component analysis. In contrast to recent 4D models on explicit shape representations, the implicit shape model developed in this work does not require the computation of point correspondences which is known to be quite challenging, especially in higher dimensions. Experimental results on the segmentation of SPECT sequences of the left myocardium confirm that the 4D shape model outperforms respective 3D models, because it takes into account a statistical model of the temporal shape evolution.