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
High-order essentially nonsocillatory schemes for Hamilton-Jacobi equations
SIAM Journal on Numerical Analysis
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized gradient vector flow external forces for active contours
Signal Processing - Special issue on deformable models and techniques for image and signal processing
A PDE-based fast local level set method
Journal of Computational Physics
Weighted ENO Schemes for Hamilton--Jacobi Equations
SIAM Journal on Scientific Computing
Gradient Vector Flow Fast Geometric Active Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
A New Active Contour Method Based on Elastic Interaction
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01
Snakes, shapes, and gradient vector flow
IEEE Transactions on Image Processing
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In this paper, we propose a new framework for active contour and surface models. Based on the concepts of the elastic interaction between line defects in solids, this framework defines an image-based speed field for contour evolution. Different from other level set based frameworks, the speed field is global and defined everywhere in the whole space. It can offer a long-range attractive interaction between object boundary and evolving contour. The new framework is general because it can be easily extended to higher dimension. Using the Fast Fourier Transforms, we also introduce an efficient algorithm for finding the values of the image-based speed field. Some experiments on synthetic and clinical images are shown to indicate the properties of our model.