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Snakes, Shapes, and Gradient Vector Flow (1998)

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by Chenyang Xu , Jerry L. Prince
Venue:IEEE TRANSACTIONS ON IMAGE PROCESSING
Citations:337 - 12 self
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BibTeX

@ARTICLE{Xu98snakes,shapes,,
    author = {Chenyang Xu and Jerry L. Prince},
    title = {Snakes, Shapes, and Gradient Vector Flow},
    journal = {IEEE TRANSACTIONS ON IMAGE PROCESSING},
    year = {1998},
    volume = {7},
    number = {3},
    pages = {359--369}
}

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Abstract

Snakes, or active contours, are used extensively in computer vision and image processing applications, particularly to locate object boundaries. Problems associated with initialization and poor convergence to boundary concavities, however, have limited their utility. This paper presents a new external force for active contours, largely solving both problems. This external force, which we call gradient vector flow (GVF), is computed as a diffusion of the gradient vectors of a gray-level or binary edge map derived from the image. It differs fundamentally from traditional snake external forces in that it cannot be written as the negative gradient of a potential function, and the corresponding snake is formulated directly from a force balance condition rather than a variational formulation. Using several two-dimensional (2-D) examples and one three-dimensional (3-D) example, we show that GVF has a large capture range and is able to move snakes into boundary concavities.

Citations

2440 Snakes: active contour models - Kass, Witkin, et al. - 1988
1376 Determining optical flow - Horn, Schunck - 1981
799 Geodesic active contours - Caselles, Kimmel, et al. - 1997
622 Elastically Deformable Models - Terzopoulos, Platt, et al. - 1987
486 Shape modeling with front propagation: a level set approach - Malladi, Sethian, et al. - 1995
375 On Active Contour Models and Balloons - Cohen - 1991
215 Finite-element methods for active contour models and balloons for 2D and 3D images - Cohen, Cohen - 1993
137 Tracking deformable objects in the plane using an active contour model - Leymarie, Levine - 1993
133 Methods of Theoretical Physics - MORSE, FESHBACH - 1953
114 Gradient vector flow: A new external force for snakes,” in CVPR97 - Xu, Prince - 1997
112 Numerical Methods for Partial Differential Equations, 3rd edn - Ames - 1992
104 A Geometric Model for Active Contours - Caselles, Catte, et al. - 1993
88 A dynamic finite element surface model for segmentation and tracking in multidimensional medical images with application to cardiac 4D image analysis. Computerized Medical Imaging and Graphics - McInerney, Terzopoulos - 1995
63 Viergever M: A discrete dynamic contour model - Lobregt - 1995
59 Tracking with kalman snakes. Active vision - Terzopoulos, Szeliski - 1993
59 An active contour model for mapping the cortex - Davatzikos, Prince - 1995
39 Image segmentation by reactiondiffusion bubbles - Tek, Kimia - 1995
27 Multi-resolution algorithms for active contour models - Leroy, Herlin, et al. - 1996
24 S.: A class of constrained clustering algorithms for object boundary extraction - Abrantes, Marques - 1996
20 Dynamic contour: a texture approach and contour operations - Durikovic, Kaneda, et al. - 1995
15 Stochastic models for DIVCURL optical flow methods - Gupta, Prince - 1996
15 Numerical Analysis of Partial Differential Equations - Charles, Porsching - 1990
12 A new external force model for snakes - Prince, Xu - 1996
5 Convexity analysis of active contour models - Davatzikos, Prince - 1994
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