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Developments on finite element methods for medical image supported diagnostics

2018Journal article Restricted access
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dc.contributor.authorAlmeida, Ana
dc.contributor.authorBarbosa, J. I.
dc.contributor.authorCarvalho, A.
dc.contributor.authorLoja, M. A. R.
dc.contributor.authorPortal, R.
dc.contributor.authorRodrigues, J. A.
dc.contributor.authorVieira, Lina
dc.date.accessioned2017-12-26T23:51:35Z
dc.date.available2017-12-26T23:51:35Z
dc.date.issued2018
dc.description.abstractVariational image-processing models offer high-quality processing capabilities for imaging. They have been widely developed and used in the last two decades, enriching the fields of mathematics as well as information science. Mathematically, several tools are needed: energy optimization, regularization, partial differential equations, level set functions, and numerical algorithms. For this work we consider a second-order variational model for solving medical image problems. The aim is to obtain as far as possible fine features of the initial image and identify medical pathologies. The approach consists of constructing a regularized functional and to locally analyse the obtained solution. Some parameters selection is performed at the discrete level in the framework of the finite element method. We present several numerical simulations to test the efficiency of the proposed approach.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationAlmeida A, Barbosa JI, Carvalho A, Loja MA, Portal R, Vieira L, et al. Developments on finite element methods for medical image supported diagnostics. In: Tavares J, Natal Jorge R, editors. VipIMAGE 2017 - ECCOMAS 2017: lecture notes in computational vision and biomechanics (Vol. 27). Cham: Springer. p. 275-85.pt_PT
dc.identifier.doi10.1007/978-3-319-68195-5_30pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.21/7804
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringer Publishing Companypt_PT
dc.relation.publisherversionhttps://link.springer.com/chapter/10.1007%2F978-3-319-68195-5_30pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/pt_PT
dc.subjectVariational methodpt_PT
dc.subjectFinite element methodpt_PT
dc.subjectMedical image processingpt_PT
dc.subjectNuclear medicinept_PT
dc.titleDevelopments on finite element methods for medical image supported diagnosticspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage285pt_PT
oaire.citation.startPage275pt_PT
oaire.citation.volume27pt_PT
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT

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