A Summary of Geometric Level-Set Analogues for a General Class of Parametric Active Contour and Surface Models

Xu, Chenyang; Yezzi, Anthony; Prince, Jerry L.

Title:

A Summary of Geometric Level-Set Analogues for a General Class of Parametric Active Contour and Surface Models

dc.contributor.author	Xu, Chenyang
dc.contributor.author	Yezzi, Anthony
dc.contributor.author	Prince, Jerry L.
dc.contributor.corporatename	Georgia Institute of Technology. School of Electrical and Computer Engineering	en_US
dc.contributor.corporatename	Johns Hopkins University	en_US
dc.date.accessioned	2013-10-08T13:56:51Z
dc.date.available	2013-10-08T13:56:51Z
dc.date.issued	2001
dc.description	© 2001 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.	en_US
dc.description	DOI: 10.1109/VLSM.2001.938888
dc.description.abstract	Geometric active contours (GACs) and surfaces (GASs) implemented via level set techniques enjoy many advantages over parametric active contours (PACs) and surfaces (PASs), such as computational stability and the ability to change topology during deformation. While many capabilities of earlier PACs and PASs have been reproduced by various GACs and GASs, and while relationships have been discussed for a variety of specific cases, a comprehensive accounting of the connections between these two worlds (particularly regarding rigid forces) has not been consolidated thus far. In this paper we present the precise mathematical relationships between the two for an extensive family of both active contour and surface models, encompassing spatially-varying coefficients, both tension and rigidity, and both conservative and non-conservative external forces. The result is a very general geometric formulation for which the intuitive design principles of PACs and PASs can be applied. We also point out which type of PAC and PAS methodologies cannot be adapted to the geometric level set framework. We conclude by demonstrating several geometric adaptations of specfic PACs and PASs in several simulations.	en_US
dc.embargo.terms	null	en_US
dc.identifier.citation	Chenyang Xu; Yezzi, A., Jr.; & Prince, J.L. (2001). "A Summary of Geometric Level-Set Analogues for a General Class of Parametric Active Contour and Surface Models". Proceedings of the IEEE Workshop on Variational and Level Set Methods in Computer Vision, 2001, pp.104-111.	en_US
dc.identifier.doi	10.1109/VLSM.2001.938888
dc.identifier.isbn	0-7695-1278-X
dc.identifier.uri	http://hdl.handle.net/1853/49190
dc.language.iso	en_US	en_US
dc.publisher	Georgia Institute of Technology	en_US
dc.publisher.original	Institute of Electrical and Electronics Engineers
dc.subject	Geometric active contours	en_US
dc.subject	Geometric active surfaces	en_US
dc.subject	Level set	en_US
dc.subject	Parametric active contours	en_US
dc.subject	Parametric active surfaces	en_US
dc.subject	Rigidity	en_US
dc.subject	Tension	en_US
dc.title	A Summary of Geometric Level-Set Analogues for a General Class of Parametric Active Contour and Surface Models	en_US
dc.type	Text
dc.type.genre	Proceedings
dspace.entity.type	Publication
local.contributor.author	Yezzi, Anthony
local.contributor.corporatename	School of Electrical and Computer Engineering
local.contributor.corporatename	College of Engineering
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