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Snakes with an ellipse-reproducing property.


Delgado-Gonzalo, Ricard; Thévenaz, Philippe; Seelamantula, Chandra Sekhar; Unser, Michael (2012). Snakes with an ellipse-reproducing property. IEEE transactions on image processing : a publication of the IEEE Signal Processing Society, 21(3):1258-71.

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.

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.

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32 citations in Web of Science®
30 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:Special Collections > SystemsX.ch
Special Collections > SystemsX.ch > Research, Technology and Development Projects > DynamiX
Special Collections > SystemsX.ch > Research, Technology and Development Projects
Dewey Decimal Classification:570 Life sciences; biology
Language:English
Date:2012
Deposited On:11 Jul 2013 07:58
Last Modified:07 Dec 2017 21:32
Publisher:Institute of Electrical and Electronics Engineers
ISSN:1057-7149
Publisher DOI:https://doi.org/10.1109/TIP.2011.2169975
PubMed ID:21965208

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