On active contour models and balloons
CVGIP: Image Understanding
Using deformable surfaces to segment 3-D images and infer differential structures
CVGIP: Image Understanding
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
Some Remarks on the Equivalence between 2D and 3D Classical Snakes and Geodesic Active Contours
International Journal of Computer Vision
Intrinsic Stabilizers of Planar Curves
ECCV '94 Proceedings of the Third European Conference-Volume II on Computer Vision - Volume II
Tamed Snake: A Particle System for Robust Semi-automatic Segmentation
MICCAI '99 Proceedings of the Second International Conference on Medical Image Computing and Computer-Assisted Intervention
Curve and surface smoothing without shrinkage
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
A PDE-Based Level-Set Approach for Detection and Tracking of Moving Objects
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Deformable Model with Non-euclidean Metrics
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
4D shape priors for a level set segmentation of the left myocardium in SPECT sequences
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Active strokes: coherent line stylization for animated 3D models
NPAR '12 Proceedings of the Symposium on Non-Photorealistic Animation and Rendering
Journal of Visual Communication and Image Representation
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In recent years, the field of active-contour based image segmentation have seen the emergence of two competing approaches. The first and oldest approach represents active contours in an explicit (or parametric) manner corresponding to the Lagrangian formulation. The second approach represent active contours in an implicit manner corresponding to the Eulerian framework. After comparing these two approaches, we describe several new topological and physical constraints applied on parametric active contours in order to combine the advantages of these two contour representations. We introduce three key algorithms for independently controlling active contour parameterization, shape and topology. We compare our result to the level-set method and show similar results with a significant speed-up.