Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometry-Driven Diffusion in Computer Vision
Geometry-Driven Diffusion in Computer Vision
Finding Shortest Paths on Surfaces Using Level Sets Propagation
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Review of Nonlinear Diffusion Filtering
SCALE-SPACE '97 Proceedings of the First International Conference on Scale-Space Theory in Computer Vision
Gradient flows and geometric active contour models
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Image segmentation by reaction-diffusion bubbles
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Snake pedals: active geometric models for shape modeling and recovery
Snake pedals: active geometric models for shape modeling and recovery
Snake Pedals: Geometric Models with Physics-Based Control
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Analyzing anatomical structures: leveraging multiple sources of knowledge
CVBIA'05 Proceedings of the First international conference on Computer Vision for Biomedical Image Applications
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In this paper, we propose extensions to a powerful geometric shape modeling scheme introduced in [14]. The extension allows the model to automatically cope with topological changes and for the first time, introduces the concept of a global shape into geometric/geodesic snake models. The ability to characterize global shape of an object using very few parameters facilitates shape learning and recognition. In this new modeling scheme, object shapes are represented using a parameterized function - called the generator - which accounts for the global shape of an object and the pedal curve/surface of this global shape with respect to a geometric snake to represent any local detail. Traditionally, pedal curves/surfaces are defined as the loci of the feet of perpendiculars to the tangents of the generator from a fixed point called the pedal point. We introduce physics-based control for shaping these geometric models by using distinct pedal points - lying on a snake - for each point on the generator. The model dubbed as a "snake pedal" allows for interactive manipulation via forces applied to the snake. Automatic topological changes of the model may be achieved by implementing the geometric active contour in a level-set framework. We demonstrate the applicability of this modeling scheme via examples of shape estimation from a variety of medical image data.