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DC poleHodnotaJazyk
dc.contributor.authorJiřík, Miroslav
dc.contributor.authorDiCarlo, Antonio
dc.contributor.authorLiška, Václav
dc.contributor.authorPaoluzzi, Alberto
dc.date.accessioned2021-03-29T10:00:18Z-
dc.date.available2021-03-29T10:00:18Z-
dc.date.issued2021
dc.identifier.citationJIŘÍK, M. DICARLO, A. LIŠKA, V. PAOLUZZI, A. Algebraic filtering of surfaces from 3d medical images with julia. Computer-Aided Design and Applications, 2021, roč. 18, č. 3, s. 468-485. ISSN 1686-4360.cs
dc.identifier.issn1686-4360
dc.identifier.uri2-s2.0-85090491619
dc.identifier.urihttp://hdl.handle.net/11025/43123
dc.format18 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherCAD Solutionsen
dc.relation.ispartofseriesComputer-Aided Design and Applicationsen
dc.rights© CAD Solutionsen
dc.titleAlgebraic filtering of surfaces from 3d medical images with juliaen
dc.typečlánekcs
dc.typearticleen
dc.rights.accessopenAccessen
dc.type.versionpublishedVersionen
dc.description.abstract-translatedIn this paper we introduce a novel algebraic filter, based on algebraic topology methods, to extract and smooth the boundary surface of any subset of voxels arising from the segmentation of a 3D medical image. The input of the Linear Algebraic Representation (lar) Surface extraction filter (lar-surf) is defined as a chain, i.e., an element of a linear space of chains here subsets of voxels represented in coordinates as a sparse binary vector. The output is produced by a linear mapping between spaces of 3-and 2-chains, given by the boundary operator ∂3: C3 → C2. The only data structures used in this approach are sparse arrays with one or two indices, i.e., sparse vectors and sparse matrices. This work is based on lar algebraic methods and is implemented in Julia language, natively supporting parallel computing on hybrid hardware architectures.en
dc.subject.translatedMedical 3Den
dc.subject.translatedComputational Topologyen
dc.subject.translatedLinear Algebraic Representationen
dc.subject.translatedLARen
dc.subject.translatedJuliaen
dc.subject.translatedSurface Extractionen
dc.identifier.doi10.14733/cadaps.2021.468-485
dc.type.statusPeer-revieweden
dc.identifier.obd43930833
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
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