Shock Graphs and Shape Matching
International Journal of Computer Vision
Deformable Pedal Curves and Surfaces: Hybrid Geometric Active Models for Shape Recovery
International Journal of Computer Vision
Advanced algorithmic approaches to medical image segmentation
Flux Maximizing Geometric Flows
IEEE Transactions on Pattern Analysis and Machine Intelligence
A fast level set method for segmentation of low contrast noisy biomedical images
Pattern Recognition Letters
International Journal of Computer Vision
International Journal of Computer Vision
EMMCVPR '01 Proceedings of the Third International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
4D Active Surfaces for Cardiac Analysis
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part I
Segmentation of 3D Medical Structures Using Robust Ray Propagation
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part I
An Active Contour Model without Edges
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Deformable Contour Method: A Constrained Optimization Approach
International Journal of Computer Vision
CPM: A Deformable Model for Shape Recovery and Segmentation Based on Charged Particles
IEEE Transactions on Pattern Analysis and Machine Intelligence
Information-Theoretic Active Polygons for Unsupervised Texture Segmentation
International Journal of Computer Vision
Geometric Analysis of Particle Motion in a Vector Image Field
Journal of Mathematical Imaging and Vision
International Journal of Computer Vision
Boundary vector field for parametric active contours
Pattern Recognition
An active contour model for image segmentation based on elastic interaction
Journal of Computational Physics
A 3-step algorithm using region-based active contours for video objects detection
EURASIP Journal on Applied Signal Processing
Review: A comparative study of deformable contour methods on medical image segmentation
Image and Vision Computing
Topological control of level set method depending on topology constraints
Pattern Recognition Letters
CAD and Graphics: Molecular field feature extraction and analysis with level set method
Computers and Graphics
An extension of min/max flow framework
Image and Vision Computing
Vasculature Segmentation in MRA Images Using Gradient Compensated Geodesic Active Contours
Journal of Signal Processing Systems
A Moving Grid Framework for Geometric Deformable Models
International Journal of Computer Vision
An Efficient Morphological Active Surface Model for Volumetric Image Segmentation
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Geometric attraction-driven flow for image segmentation and boundary detection
Journal of Visual Communication and Image Representation
Force field analysis snake: an improved parametric active contour model
Pattern Recognition Letters
Continuous force field analysis for generalized gradient vector flow field
Pattern Recognition
A level set method based on the Bayesian risk for medical image segmentation
Pattern Recognition
On the convergence of planar curves under smoothing
IEEE Transactions on Image Processing
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 2D moving grid geometric deformable model
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Homogeneity- and density distance-driven active contours for medical image segmentation
Computers in Biology and Medicine
Geodesic active contours with adaptive neighboring influence
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Pattern Recognition and Image Analysis
Journal of Visual Communication and Image Representation
Medical image segmentation schemes for the analysis of gynaecological malignancies
International Journal of Knowledge-based and Intelligent Engineering Systems
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A number of active contour models have been proposed that unify the curve evolution framework with classical energy minimization techniques for segmentation, such as snakes. The essential idea is to evolve a curve (in two dimensions) or a surface (in three dimensions) under constraints from image forces so that it clings to features of interest in an intensity image. The evolution equation has been derived from first principles as the gradient flow that minimizes a modified length functional, tailored to features such as edges. However, because the flow may be slow to converge in practice, a constant (hyperbolic) term is added to keep the curve/surface moving in the desired direction. We derive a modification of this term based on the gradient flow derived from a weighted area functional, with image dependent weighting factor. When combined with the earlier modified length gradient flow, we obtain a partial differential equation (PDE) that offers a number of advantages, as illustrated by several examples of shape segmentation on medical images. In many cases the weighted area flow may be used on its own, with significant computational savings