International Journal of Computer Vision
A note on minimal length polygonal approximation to a digitized contour
Communications of the ACM
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
A topologically consistent representation for image analysis: the Topological Graph of Frontiers
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Computer Vision and Image Understanding
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
Topological model for 3D image representation: Definition and incremental extraction algorithm
Computer Vision and Image Understanding
Active Contours Under Topology Control--Genus Preserving Level Sets
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Minimum-Perimeter Polygons of Digitized Silhouettes
IEEE Transactions on Computers
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Two linear-time algorithms for computing the minimum length polygon of a digital contour
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Multi-label simple points definition for 3D images digital deformable model
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Digital deformable model simulating active contours
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Fully deformable 3D digital partition model with topological control
Pattern Recognition Letters
Dynamic minimum length polygon
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
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Deformable models have shown great potential for image segmentation. They include discrete models whose combinatorial formulation leads to efficient and sometimes optimal minimization algorithms. In this paper, we propose a new discrete framework to deform any partition while preserving its topology. We show how to combine the use of multilabel simple points, topological maps and minimum-length polygons in order to implement an efficient digital deformable partition model. Our experimental results illustrate the potential of our framework for segmenting images, since it allows the mixing of region-based, contour-based and regularization energies, while keeping the overall image structure.