Multiscale active contours

被引:36
作者
Bresson, Xavier [1 ]
Vandergheynst, Pierre [1 ]
Thiran, Jean-Philippe [1 ]
机构
[1] Ecole Polytech Fed Lausanne, Swiss Fed Inst Technol, Signal Proc Inst, STI,ITS, CH-1015 Lausanne, Switzerland
关键词
active contour; scale space; multiscale segmentation; PDE; Polyakov action; Riemannian manifolds; gradient vector flow;
D O I
10.1007/s11263-006-7462-3
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We propose a new multiscale image segmentation model, based on the active contour/snake model and the Polyakov action. The concept of scale, general issue in physics and signal processing, is introduced in the active contour model, which is a well-known image segmentation model that consists of evolving a contour in images toward the boundaries of objects. The Polyakov action, introduced in image processing by Sochen-Kimmel-Malladi in Sochen et al. (1998), provides an efficient mathematical framework to define a multiscale segmentation model because it generalizes the concept of harmonic maps embedded in higher-dimensional Riemannian manifolds such as multiscale images. Our multiscale segmentation model, unlike classical multiscale segmentations which work scale by scale to speed up the segmentation process, uses all scales simultaneously, i.e. the whole scale space, to introduce the geometry of multiscale images in the segmentation process. The extracted multiscale structures will be useful to efficiently improve the robustness and the performance of standard shape analysis techniques such as shape recognition and shape registration. Another advantage of our method is to use not only the Gaussian scale space but also many other multiscale spaces such as the Perona-Malik scale space, the curvature scale space or the Beltrami scale space. Finally, this multiscale segmentation technique is coupled with a multiscale edge detecting function based on the gradient vector flow model, which is able to extract convex and concave object boundaries independent of the initial condition. We apply our multiscale segmentation model on a synthetic image and a medical image.
引用
收藏
页码:197 / 211
页数:15
相关论文
共 36 条
[1]   A FAST LEVEL SET METHOD FOR PROPAGATING INTERFACES [J].
ADALSTEINSSON, D ;
SETHIAN, JA .
JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 118 (02) :269-277
[2]  
ALVAREZ L, 1993, ARCH RATIONAL MECH A, V123, P3
[3]  
[Anonymous], 1991, Differential geometry
[4]  
[Anonymous], COMPUTATIONAL IMAGIN
[5]  
[Anonymous], 2007, J INT COMP L, V321
[6]  
[Anonymous], THESIS U N CAROLINA
[7]  
AUBERT G, 2001, MATH PROBLEMS IMAGE, P147
[8]  
BRESSON X, 2005, P 5 INT C SCAL SPAC, P167
[9]   Geodesic active contours [J].
Caselles, V ;
Kimmel, R ;
Sapiro, G .
INTERNATIONAL JOURNAL OF COMPUTER VISION, 1997, 22 (01) :61-79
[10]   ON ACTIVE CONTOUR MODELS AND BALLOONS [J].
COHEN, LD .
CVGIP-IMAGE UNDERSTANDING, 1991, 53 (02) :211-218