Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
Simple points, topological numbers and geodesic neighborhoods in cubic grids
Pattern Recognition Letters
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Minimal Surfaces Based Object Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Global Minimum for Active Contour Models: A Minimal Path Approach
International Journal of Computer Vision
Fast Approximate Energy Minimization via Graph Cuts
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
International Journal of Computer Vision
International Journal of Computer Vision
Fast Constrained Surface Extraction by Minimal Paths
International Journal of Computer Vision
Active Contours Under Topology Control--Genus Preserving Level Sets
International Journal of Computer Vision
Digital homeomorphisms in deformable registration
IPMI'07 Proceedings of the 20th international conference on Information processing in medical imaging
Active contours under topology control genus preserving level sets
CVBIA'05 Proceedings of the First international conference on Computer Vision for Biomedical Image Applications
A topology preserving level set method for geometric deformable models
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Image Processing
Fully deformable 3D digital partition model with topological control
Pattern Recognition Letters
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
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The main contribution of this paper is the definition of multilabel simple points that ensures that the partition topology remains invariant during a deformable partition process. The definition is based on simple intervoxel properties and is easy to implement. A deformation process is carried out with a greedy energy minimization algorithm. A discrete area estimator is used to approach at best standard regularizers classically used in continuous energy minimizing methods. The effectiveness of our approach is shown on several 3D image segmentations.