Active contours or snakes are widely used for segmentation and tracking. Recently a new active contour model was proposed,
combining edge and region information. The method has a convex energy function, thus becoming invariant to the initialization
of the active contour. This method is promising, but has no regularization term. Therefore segmentation results of this method
are highly dependent of the quality of the images. We propose a new active contour model which also uses region and edge information,
but which has an extra regularization term. This work provides an efficient optimization scheme based on Split Bregman for
the proposed active contour method. It is experimentally shown that the proposed method has significant better results in
the presence of noise and clutter.
[Show abstract][Hide abstract] ABSTRACT: We use an unconditionally stable numerical scheme to im- plement a fast version of the geodesic active contour model. The
proposed scheme is useful for object segmentation in images, like tracking moving objects in a sequence of images. The method
is based on the Weickert- Romeney-Viergever  AOS scheme. It is applied at small regions, mo- tivated by Adalsteinsson-Sethian  level set narrow band approach, and uses Sethian’s fast marching method  for re-initialization. Experimen- tal results demonstrate the power of the new method for tracking in color movies.
“Scale Space Theories in Computer Vision", Proceedings of the Second International Conference, Scale-Space `99; 09/1999
[Show abstract][Hide abstract] ABSTRACT: We describe a narrow band region approach for deformable curves and surfaces in the perspective of 2D and 3D image segmentation. Basically, we develop a region energy involving a fixed-width band around the curve or surface. Classical region-based methods, like the Chan–Vese model, often make strong assumptions on the intensity distributions of the searched object and background. In order to be less restrictive, our energy achieves a trade-off between local features of gradient-like terms and global region features. Relying on the theory of parallel curves and surfaces, we perform a mathematical derivation to express the region energy in a curvature-based form allowing efficient computation on explicit models. We introduce two different region terms, each one being dedicated to a particular configuration of the target object. Evolution of deformable models is performed by means of energy minimization using gradient descent. We provide both explicit and implicit implementations. The explicit models are a parametric snake in 2D and a triangular mesh in 3D, whereas the implicit models are based on the level set framework, regardless of the dimension. Experiments are carried out on MRI and CT medical images, in 2D and 3D, as well as 2D color photographs.
[Show abstract][Hide abstract] ABSTRACT: We introduce a new class of active contour models that hold great promise for region and shape modelling, and we apply a special
case of these models to the extraction of road networks from satellite and aerial imagery. The new models are arbitrary polynomial
functionals on the space of boundaries, and thus greatly generalize the linear functionals used in classical contour energies.
While classical energies are expressed as single integrals over the contour, the new energies incorporate multiple integrals,
and thus describe long-range interactions between different sets of contour points. As prior terms, they describe families
of contours that share complex geometric properties, without making reference to any particular shape, and they require no
pose estimation. As likelihood terms, they can describe multi-point interactions between the contour and the data. To optimize
the energies, we use a level set approach. The forces derived from the new energies are non-local however, thus necessitating
an extension of standard level set methods. Networks are a shape family of great importance in a number of applications, including
remote sensing imagery. To model them, we make a particular choice of prior quadratic energy that describes reticulated structures,
and augment it with a likelihood term that couples the data at pairs of contour points to their joint geometry. Promising
experimental results are shown on real images.
International Journal of Computer Vision 07/2006; 69(1):27-42. DOI:10.1007/s11263-006-6851-y · 3.81 Impact Factor
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