Abstract | ||
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We present a new class of continuously defined parametric snakes using a special kind of exponential splines as basis functions. We have enforced our bases to have the shortest possible support subject to some design constraints to maximize efficiency. While the resulting snakes are versatile enough to provide a good approximation of any closed curve in the plane, their most important feature is the fact that they admit ellipses within their span. Thus, they can perfectly generate circular and elliptical shapes. These features are appropriate to delineate cross sections of cylindrical-like conduits and to outline bloblike objects. We address the implementation details and illustrate the capabilities of our snake with synthetic and real data. |
Year | DOI | Venue |
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2012 | 10.1109/TIP.2011.2169975 | IEEE Transactions on Image Processing |
Keywords | Field | DocType |
design constraint,implementation detail,elliptical shape,cylindrical-like conduit,cross section,bloblike object,good approximation,exponential spline,basis function,ellipse-reproducing property,closed curve,active contour,spline,fourier transforms,synthetic data,approximation theory,fourier transform,gradient,interpolation,endocardium,parameterization,algorithms,approximation error,image segmentation,segmentation,shape,splines,magnetic resonance imaging,electrical engineering | Active contour model,Spline (mathematics),Computer vision,Interpolation,Approximation theory,Parametric statistics,Basis function,Artificial intelligence,Ellipse,Approximation error,Mathematics | Journal |
Volume | Issue | ISSN |
21 | 3 | 1941-0042 |
Citations | PageRank | References |
22 | 1.25 | 24 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ricard Delgado-Gonzalo | 1 | 99 | 13.43 |
Philippe Thevenaz | 2 | 35 | 3.26 |
Chandra Sekhar Seelamantula | 3 | 142 | 37.43 |
M Unser | 4 | 4335 | 499.89 |