Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
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
Deformable template models: a review
Signal Processing - Special issue on deformable models and techniques for image and signal processing
A contour detection method: initialization and contour model
Pattern Recognition Letters
Object Tracking Using Deformable Templates
IEEE Transactions on Pattern Analysis and Machine Intelligence
Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Gradient Vector Flow: A New External Force for Snakes
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Gradient Vector Flow Fast Geometric Active Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
Snakes, shapes, and gradient vector flow
IEEE Transactions on Image Processing
An axiomatic approach to image interpolation
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Geodesic active contour, inertia and initial speed
Pattern Recognition Letters
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Tetrahedral mesh generation for medical images with multiple regions using active surfaces
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Efficient numerical schemes for gradient vector flow
Pattern Recognition
Harris function based active contour external force for image segmentation
Pattern Recognition Letters
Gradient vector flow based on anisotropic diffusion
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part II
Gradient field approximation: Application to registration in image processing
Journal of Computational and Applied Mathematics
Adaptive diffusion flow active contours for image segmentation
Computer Vision and Image Understanding
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An improved external force field for active contour model, called as NGVF, is presented in this paper. Based on analyzing the diffusion process of the GVF and three interpolation functions, it is found that the generation of GVF contains diffusions in two orthogonal directions along the edge of image, one is the tangent direction and the other is the normal direction. Moreover, the diffusion in the normal direction plays the key role on the diffusion of GVF, while the diffusion in the tangent direction has little effect. So the GVF in the normal direction (NGVF) is taken as a new force field to study. Experiment results with several test images reveal that, compared with GVF, NGVF can enter into long, thin indention and has faster convergence speed towards the concavity and bigger time step.