Title
Efficient energies and algorithms for parametric snakes.
Abstract
Parametric active contour models are one of the preferred approaches for image segmentation because of their computational efficiency and simplicity. However, they have a few drawbacks which limit their performance. In this paper, we identify some of these problems and propose efficient solutions to get around them. The widely-used gradient magnitude-based energy is parameter dependent; its use will negatively affect the parametrization of the curve and, consequently, its stiffness. Hence, we introduce a new edge-based energy that is independent of the parameterization. It is also more robust since it takes into account the gradient direction as well. We express this energy term as a surface integral, thus unifying it naturally with the region-based schemes. The unified framework enables the user to tune the image energy to the application at hand. We show that parametric snakes can guarantee low curvature curves, but only if they are described in the curvilinear abscissa. Since normal curve evolution do not ensure constant arc-length, we propose a new internal energy term that will force this configuration. The curve evolution can sometimes give rise to closed loops in the contour, which will adversely interfere with the optimization algorithm. We propose a curve evolution scheme that prevents this condition.
Year
DOI
Venue
2004
10.1109/TIP.2004.832919
IEEE Transactions on Image Processing
Keywords
Field
DocType
gradient direction,low curvature curve,curve evolution,new edge-based energy,parametric snake,curve evolution scheme,normal curve evolution,efficient energy,image energy,energy term,new internal energy term,widely-used gradient magnitude-based energy,active contour,active contour model,negative affect,indexing terms,partial differential equations,image segmentation
Active contour model,Spline (mathematics),Computer vision,Curvature,Abscissa,Parametrization,Surface integral,Algorithm,Image segmentation,Parametric statistics,Artificial intelligence,Mathematics
Journal
Volume
Issue
ISSN
13
9
1057-7149
Citations 
PageRank 
References 
90
3.95
32
Authors
3
Name
Order
Citations
PageRank
Mathews Jacob179059.62
T Blu22574259.70
Unser, M.33438442.40