Title
Snakes with an ellipse-reproducing property.
Abstract
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
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-Gonzalo19913.43
Philippe Thevenaz2353.26
Chandra Sekhar Seelamantula314237.43
M Unser44335499.89