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.
authors.affiliation: Biomedical Imaging Group, École polytechnique fédérale de Lausanne, Lausanne, Switzerland.
authors.forename: Ricard
authors.initials: R
authors.lastname: Delgado-Gonzalo
authors.forename: Philippe
authors.initials: P
authors.lastname: Thévenaz
authors.forename: Chandra Sekhar
authors.initials: CS
authors.lastname: Seelamantula
authors.forename: Michael
authors.initials: M
authors.lastname: Unser
mesh_terms: D002467:Cell Nucleus / Q000648:ultrastructure; D002648:Child; D004699:Endocardium / Q000033:anatomy & histology; D006367:HeLa Cells; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D008279:Magnetic Resonance Imaging; D008856:Microscopy, Fluorescence