Journal ArticleDOI
Geodesic Active Contours
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TLDR
In this article, a geodesic approach based on active contours evolving in time according to intrinsic geometric measures of the image is presented. But this approach is not suitable for 3D object segmentation.Abstract:
A novel scheme for the detection of object boundaries is presented. The technique is based on active contours evolving in time according to intrinsic geometric measures of the image. The evolving contours naturally split and merge, allowing the simultaneous detection of several objects and both interior and exterior boundaries. The proposed approach is based on the relation between active contours and the computation of geodesics or minimal distance curves. The minimal distance curve lays in a Riemannian space whose metric is defined by the image content. This geodesic approach for object segmentation allows to connect classical “snakes” based on energy minimization and geometric active contours based on the theory of curve evolution. Previous models of geometric active contours are improved, allowing stable boundary detection when their gradients suffer from large variations, including gaps. Formal results concerning existence, uniqueness, stability, and correctness of the evolution are presented as well. The scheme was implemented using an efficient algorithm for curve evolution. Experimental results of applying the scheme to real images including objects with holes and medical data imagery demonstrate its power. The results may be extended to 3D object segmentation as well.read more
Citations
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Proceedings ArticleDOI
A geometric approach to segmentation and analysis of 3D medical images
TL;DR: A geometric scheme for detecting, representing, and measuring 3D medical data is presented, based on deforming 3D surfaces, represented via level-sets, towards the medical objects, according to intrinsic geometric measures of the data.
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Parametric representation of a surface pencil with a common spatial geodesic
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Differential geometry based multiscale models.
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Non-parametric geodesic active regions: method and evaluation for cerebral aneurysms segmentation in 3DRA and CTA.
TL;DR: An evaluation study over 10 clinical datasets indicate that the segmentations obtained by the proposed segmentation method favorably compares to other alternative techniques based on deformable models, namely parametric geodesic active regions and active contours without edges.
Book ChapterDOI
Segmentation of Bone in Clinical Knee MRI Using Texture-Based Geodesic Active Contours
TL;DR: In this article, texture information is incorporated into an active contours framework through the use of vector-valued geodesic snakes with local variance as a second value at each pixel, in addition to intensity.
References
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Journal ArticleDOI
Snakes : Active Contour Models
TL;DR: This work uses snakes for interactive interpretation, in which user-imposed constraint forces guide the snake near features of interest, and uses scale-space continuation to enlarge the capture region surrounding a feature.
Journal ArticleDOI
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more
TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
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User’s guide to viscosity solutions of second order partial differential equations
TL;DR: The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorem, and continuous dependence may now be proved by very efficient and striking arguments as discussed by the authors.
Journal ArticleDOI
The design and use of steerable filters
TL;DR: The authors present an efficient architecture to synthesize filters of arbitrary orientations from linear combinations of basis filters, allowing one to adaptively steer a filter to any orientation, and to determine analytically the filter output as a function of orientation.
Journal ArticleDOI
Shape modeling with front propagation: a level set approach
TL;DR: In this article, the authors proposed a shape model based on the Hamilton-Jacobi approach to shape modeling, which retains some of the attractive features of existing methods and overcomes some of their limitations.