Geodesic Active Contours

@article{Caselles1995GeodesicAC,
  title={Geodesic Active Contours},
  author={Vicent Caselles and Ron Kimmel and Guillermo Sapiro},
  journal={International Journal of Computer Vision},
  year={1995},
  volume={22},
  pages={61-79}
}
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… 

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References

SHOWING 1-10 OF 111 REFERENCES

Object detection and measurements in medical images via geodesic deformable contours

TLDR
A novel scheme for performing detection and measurements in medical images is presented, based on active contours evolving in time according to intrinsic geometric measures of the image, which adds flexibility, allowing the user to choose guiding points in the image or to select regions for measurements.

On active contour models and balloons

  • L. Cohen
  • Mathematics
    CVGIP Image Underst.
  • 1991

Dynamic Programming for Detecting, Tracking, and Matching Deformable Contours

TLDR
The information provided by the user's selected points is explored and an optimal method to detect contours which allows a segmentation of the image is applied, based on dynamic programming (DP), and applies to a wide variety of shapes.

Gradient flows and geometric active contour models

In this paper, we analyze the geometric active contour models discussed previously from a curve evolution point of view and propose some modifications based on gradient flows relative to certain new

Dynamic Segmentation : Detecting Complex Topology 3D-object

  • F. LeitnerP. Cinquin
  • Computer Science
    Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society Volume 13: 1991
  • 1991
TLDR
This method is by nature adaptive : it is easy to control the number of B-spline used to represent the frontier, which makes it possible to improve progressively the result of the segmentation.

Differential Invariant Signatures and Flows in Computer Vision: A Symmetry Group Approach

TLDR
This work gives a modern approach to the theory of differential invariants, describing concepts like Lie theory, jets, and prolongations and presents a high level way of defining invariant geometric flows for a given Lie group.

Modeling surfaces of arbitrary topology with dynamic particles

TLDR
A flexible surface reconstruction algorithm is developed that can compute complete, detailed, viewpoint-invariant geometric surface descriptions of objects with arbitrary topology and is applied to 3-D medical image segmentation and to surface reconstruction from object silhouettes.

A geometric model for active contours in image processing

TLDR
A new model for active contours based on a geometric partial differential equation that satisfies the maximum principle and permits a rigorous mathematical analysis is proposed, which enables us to extract smooth shapes and it can be adapted to find several contours simultaneously.

Tracking Level Sets by Level Sets: A Method for Solving the Shape from Shading Problem

TLDR
A new algorithm for recovering depth to a Lambertian L1 smooth object given its gray-level image under uniform illumination from the viewing direction is presented, and the level set approach of implementing the contour propagation overcomes numerical problems and some the topology problems of the evolving contours.

Detecting and localizing edges composed of steps, peaks and roofs

TLDR
A two-dimensional version of the approach is developed which has the property of being able to represent multiple edges at the same location and determine the orientation of each to any desired precision, which permits junctions to be localized without rounding.
...