On active contour models and balloons
CVGIP: Image Understanding
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Dynamic Programming for Detecting, Tracking, and Matching Deformable Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
Sub-pixel distance maps and weighted distance transforms
Journal of Mathematical Imaging and Vision - Special issue on topology and geometry in computer vision
Inferring global perceptual contours from local features
International Journal of Computer Vision - Special issue on computer vision research at the University of Southern California
International Journal of Computer Vision
Global Minimum for Active Contour Models: A Minimal Path Approach
International Journal of Computer Vision
Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Finding Shortest Paths on Surfaces Using Level Sets Propagation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Local Parallel Computation of Stochastic Completion Fields
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Stochastic completion fields: a neural model of illusory contour shape and salience
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Multiple Contour Finding and Perceptual Grouping as a Set of Energy Minimizing Paths
EMMCVPR '01 Proceedings of the Third International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
Energy Partitions and Image Segmentation
Journal of Mathematical Imaging and Vision
Globally Optimal Geodesic Active Contours
Journal of Mathematical Imaging and Vision
Fast Constrained Surface Extraction by Minimal Paths
International Journal of Computer Vision
Geodesic Remeshing Using Front Propagation
International Journal of Computer Vision
Fast Surface Segmentation Guided by User Input Using Implicit Extension of Minimal Paths
Journal of Mathematical Imaging and Vision
Local or Global Minima: Flexible Dual-Front Active Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
Attribute-space connectivity and connected filters
Image and Vision Computing
Meshless geometric subdivision
Graphical Models
Fast Object Segmentation by Growing Minimal Paths from a Single Point on 2D or 3D Images
Journal of Mathematical Imaging and Vision
Fuzzy energy-based active contours
IEEE Transactions on Image Processing
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Geodesic Methods in Computer Vision and Graphics
Foundations and Trends® in Computer Graphics and Vision
Heuristically driven front propagation for geodesic paths extraction
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Local or global minima: flexible dual-front active contours
CVBIA'05 Proceedings of the First international conference on Computer Vision for Biomedical Image Applications
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Journal of Biomedical Imaging - Special issue on Mathematical Methods for Images and Surfaces 2011
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We address the problem of finding a set of contour curves in an image. We consider the problem of perceptual grouping and contour completion, where the data is a set of points in the image. A new method to find complete curves from a set of contours or edge points is presented. Our approach is based on a previous work on finding contours as minimal paths between two end points using the fast marching algorithm (L. D Cohen and R. Kimmel, International Journal of Computer Vision, Vol. 24, No. 1, pp. 57–78, 1997). Given a set of key points, we find the pairs of points that have to be linked and the paths that join them. We use the saddle points of the minimal action map. The paths are obtained by backpropagation from the saddle points to both points of each pair.In a second part, we propose a scheme that does not need key points for initialization. A set of key points is automatically selected from a larger set of admissible points. At the same time, saddle points between pairs of key points are extracted. Next, paths are drawn on the image and give the minimal paths between selected pairs of points. The set of minimal paths completes the initial set of contours and allows to close them. We illustrate the capability of our approach to close contours with examples on various images of sets of edge points of shapes with missing contours.