On active contour models and balloons

@article{Cohen1991OnAC,
  title={On active contour models and balloons},
  author={Laurent D. Cohen},
  journal={CVGIP Image Underst.},
  year={1991},
  volume={53},
  pages={211-218}
}
  • L. Cohen
  • Published 1991
  • Mathematics, Computer Science
  • CVGIP Image Underst.
Abstract The use of energy-minimizing curves, known as “snakes,” to extract features of interest in images has been introduced by Kass, Witkin & Terzopoulos (Int. J. Comput. Vision 1, 1987, 321–331). We present a model of deformation which solves some of the problems encountered with the original method. The external forces that push the curve to the edges are modified to give more stable results. The original snake, when it is not close enough to contours, is not attracted by them and… Expand
Avoiding local minima for deformable curves in image analysis
TLDR
An overview of part of the work over the past few years on snakes, balloons, and deformable models, with applications to image analysis, and three approaches that help to avoid being trapped in a local minimum of the energy. Expand
Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images
  • L. Cohen, I. Cohen
  • Mathematics, Computer Science
  • IEEE Trans. Pattern Anal. Mach. Intell.
  • 1993
TLDR
A 3-D generalization of the balloon model as a3-D deformable surface, which evolves in 3D images, is presented and properties of energy-minimizing surfaces concerning their relationship with 3- D edge points are shown. Expand
Finite Element Methods for Active Contour Models and Balloons for 2d and 3d Images 1 2
The use of energy-minimizing curves, known as \snakes" to extract features of interest in images has been introduced by Kass, Witkin and Terzopoulos 23]. A balloon model was introduced in 12] as aExpand
Speeding up snakes
TLDR
New and existing approaches for the semiautomatic image segmentation based on active contour models are summarized and a possibility to save memory by a lossy scaling of the traditional potential image forces is shown. Expand
Comparison Between The Performance of Parametric Active Contour Models
Snakes, or active contours, are used extensively in computer vision and image processing applications, particularly to locate object boundaries. In this research, for the segmentation of anatomicalExpand
Sparse Multi-Bending Snakes
TLDR
A novel parametric active contour model, the Sparse Multi-Bending snake, is proposed, which is capable of dividing the contour into a set of contiguous regions with different bending properties, and a new energy function is derived that induces such behavior. Expand
Robust snake convergence based on dynamic programming
TLDR
The proposed method is a deterministic iterative statistical data fusion approach, in which the visual boundaries of the object are extracted, ignoring any prior, employing a Hidden Markov Model and Viterbi search, and then applying importance sampling to the boundary points. Expand
7 Dual Active Contour Models for Medical Image Segmentation
Deformable Models, which includes the popular snake models (Kass et al., 1988) and deformable surfaces (McInerney & Terzopoulos, 1996; Suri & Editors, 2006), are well known techniques for boundaryExpand
Dual Active Contour Models for Medical Image Segmentation
TLDR
Snake models, also called active contour models, are 2D deformable models proposed by Kass at al. (Kass et al., 1988) which have been successfully applied in a variety of problems in computer vision and image analysis. Expand
A finite element method applied to new active contour models and 3D reconstruction from cross sections
  • L. Cohen, I. Cohen
  • Mathematics, Computer Science
  • [1990] Proceedings Third International Conference on Computer Vision
  • 1990
TLDR
The authors present a model of deformation which solves some of the problems encountered with the original method such as instability and initial data while reducing the computational complexity and is applied for segmenting ultrasound and magnetic resonance images. Expand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 13 REFERENCES
Constraints on Deformable Models: Recovering 3D Shape and Nonrigid Motion
TLDR
This work describes an extrinsic force that applies constraints derived from profiles of monocularly viewed objects and generalizes this constraint force to incorporate profile information from multiple views and use it to exploit binocular image data. Expand
Multiresolution elastic matching
TLDR
Results show that all normal brains, at least at a certain level of representation, have the same topological structure, but may differ in shape details, and the matching process can account for these differences. Expand
A Computational Approach to Edge Detection
  • J. Canny
  • Mathematics, Computer Science
  • IEEE Transactions on Pattern Analysis and Machine Intelligence
  • 1986
TLDR
There is a natural uncertainty principle between detection and localization performance, which are the two main goals, and with this principle a single operator shape is derived which is optimal at any scale. Expand
3D edge detection using recursive filtering: Application to scanner images
TLDR
This method is an extension to the 3D case of the optimal 2D edge detector recently introduced by R. Deriche and presents better theoretical and experimental performances than some classical approachs used at this date. Expand
The Computation of Visible-Surface Representations
TLDR
A well-posed variational formulation results from the use of a controlled-continuity surface model, and Finite-element shape primitives yield a local discretization of the variational principle, which is an efficient algorithm for visible-surface reconstruction. Expand
Multiresolution elastic matching, Compuf
  • Vision Graphics Image Process
  • 1989
Multiresolution elastic matching, Compuf. Vision Graphics Image Process
  • 1989
Multiresolution elastic matching. Computer Vision, Graphics, and Image Processing
  • Multiresolution elastic matching. Computer Vision, Graphics, and Image Processing
  • 1989
Ruzena Bajcsy and Stane Kovacic , Multiresolution elastic matching , Compuf
  • 1989
...
1
2
...