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Finite-Element Methods for active contour models and balloons for 2-D and 3-D images

hal.structure.identifier
dc.contributor.authorCohen, Laurent D.
HAL ID: 738939		*
hal.structure.identifier
dc.contributor.authorCohen, Isaac*
dc.date.accessioned2017-11-14T11:22:06Z
dc.date.available2017-11-14T11:22:06Z
dc.date.issued1993
dc.identifier.issn0162-8828
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/16981
dc.language.isoenen
dc.subjectballoon modelen
dc.subject.ddc621.3en
dc.titleFinite-Element Methods for active contour models and balloons for 2-D and 3-D imagesen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThe use of energy-minimizing curves, known as "snakes" to extract features of interest in images has been introduced by Kass, Witkin and Terzopoulos (1987). A balloon model was introduced by Cohen (1991) as a way to generalize and solve some of the problems encountered with the original method. A 3-D generalization of the balloon model as a 3-D deformable surface, which evolves in 3-D images, is presented. It is deformed under the action of internal and external forces attracting the surface toward detected edgels by means of an attraction potential. We also show properties of energy-minimizing surfaces concerning their relationship with 3-D edge points. To solve the minimization problem for a surface, two simplified approaches are shown first, defining a 3-D surface as a series of 2-D planar curves. Then, after comparing finite-element method and finite-difference method in the 2-D problem, we solve the 3-D model using the finite-element method yielding greater stability and faster convergence. This model is applied for segmenting magnetic resonance images.en
dc.relation.isversionofjnlnameIEEE Transactions on Pattern Analysis and Machine Intelligence
dc.relation.isversionofjnlvol15en
dc.relation.isversionofjnlissue11en
dc.relation.isversionofjnldate1993
dc.relation.isversionofjnlpages1137-1147en
dc.relation.isversionofdoi10.1109/34.244675en
dc.relation.isversionofjnlpublisherIEEE Computer Societyen
dc.subject.ddclabelTraitement du signalen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2017-10-25T10:24:24Z
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