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Multiresolution Reconstruction for Cone-Beam Tomography from Raw Data Projections Using 3D Ridgelets

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dc.contributor.authorRomero, Eduardo C.
dc.contributor.authorGómez Gómez, Francisco
dc.contributor.authorSanta Marta Pastrana, Cristina María
dc.date.accessioned2024-05-20T11:28:31Z
dc.date.available2024-05-20T11:28:31Z
dc.date.issued2011-03-01
dc.description.abstractThis paper presents a novel method which reconstructs any desired 3D image resolution from raw cone-beam CT data. X-ray attenuation through the object is approximated using ridgelet basis functions which allow us to have multiresolution representation levels. Since the Radon data have preferential orientations by nature, a spherical wavelet transform is used to compute the ridgelet coefficients from the Radon shell data. The whole method uses the classical Grangeat’s relation for computing derivatives of the Radon data which are then integrated and projected to a spherical wavelet representation and back-reconstructed using a modified version of the well known back-projection algorithm. Unlike previous reconstruction methods, this proposal uses a multiscale representation of the Radon data and therefore allows fast display of low-resolution data level.en
dc.description.versionversión final
dc.identifier.doi10.1007/S10278-011-9369-Y
dc.identifier.issn1618-727X
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12065
dc.journal.issue6
dc.journal.titleJournal of Digital Imaging
dc.journal.volume24
dc.language.isoen
dc.publisherSpringer Nature
dc.relation.centerFacultad de Ciencias
dc.relation.departmentFísica Matemática y de Fluídos
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 Internacional
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject.keywordsComputed tomography
dc.subject.keywords3D ridgelet
dc.subject.keywordsSpherical wavelets
dc.titleMultiresolution Reconstruction for Cone-Beam Tomography from Raw Data Projections Using 3D Ridgeletses
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication4877d45a-c1db-4d15-b059-86a461f5c1e8
relation.isAuthorOfPublication3d74eb47-9db3-41ef-83e7-f7bdb91dde8c
relation.isAuthorOfPublication.latestForDiscovery4877d45a-c1db-4d15-b059-86a461f5c1e8
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