Regularization of inverse visual problems involving discontinuities
IEEE Transactions on Pattern Analysis and Machine Intelligence
Constraints on deformable models: recovering 3D shape and nongrid motion
Artificial Intelligence
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Evolutionary fronts for topology-independent shape modeling and recovery
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
A variational level set approach to multiphase motion
Journal of Computational Physics
Geodesic Active Contours and Level Sets for the Detection and Tracking of Moving Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Tracking Deformable Objects in the Plane Using an Active Contour Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
Gradient flows and geometric active contour models
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Topologically adaptable snakes
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
A topology-independent shape modeling scheme
A topology-independent shape modeling scheme
Geometric Partial Differential Equations and Image Analysis
Geometric Partial Differential Equations and Image Analysis
A topology preserving level set method for geometric deformable models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Snakes, shapes, and gradient vector flow
IEEE Transactions on Image Processing
Area and length minimizing flows for shape segmentation
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Active Contours without Edges and with Simple Shape Priors
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
Region merging with topological control
Discrete Applied Mathematics
Multi-threshold level set model for image segmentation
EURASIP Journal on Advances in Signal Processing - Special issue on advanced image processing for defense and security applications
A new level-set based algorithm for bimodal depth segmentation
ACIVS'12 Proceedings of the 14th international conference on Advanced Concepts for Intelligent Vision Systems
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In this paper, a novel framework combining the Chan-Vese active contour segmentation model with topology control mechanism is proposed. The novel framework can control active contours to capture specified objects in the applied images. Geometric active contours implemented by the traditional level set method can adaptively split and merge, but it is difficult to handle the topological constraints of the segmentation results. The proposed framework provides the users with previously set topologic constraints to control active contours' splitting behavior for segmentation purposes. The Euler number and numbers of the connected regions of image objects are the topologic constraints implemented in the topology control mechanism. Some segmentation results of synthetic images demonstrate the effectiveness of the topological control algorithm. The segmentation results of the medical images show that the proposed framework provides convenience and flexibility to segment objects.