Parametric level-sets enhanced to improve reconstruction (PaLEnTIR)

Simple item page
dc.contributor.authorOzsar, Egeen
dc.contributor.authorKilmer, Misha E.en
dc.contributor.authorde Sturler, Ericen
dc.contributor.authorSaibaba, Arvinden
dc.contributor.authorMiller, Eric L.en
dc.date.accessioned2025-01-21T18:40:47Zen
dc.date.available2025-01-21T18:40:47Zen
dc.date.issued2025-01-08en
dc.description.abstractWe introduce PaLEnTIR, a significantly enhanced parametric level-set (PaLS) method addressing the restoration and reconstruction of piecewise constant objects. Our key contribution involves a unique PaLS formulation utilizing a single level-set function to restore scenes containing multi-contrast piecewise constant objects without requiring knowledge of the number of objects or their contrasts. Unlike standard PaLS methods employing radial basis functions (RBFs), our model integrates anisotropic basis functions (ABFs), thereby expanding its capacity to represent a wider class of shapes. Furthermore, PaLEnTIR streamlines the model by reducing redundancy and indeterminacy in the parameterization, resulting in improved numerical performance. We compare PaLEnTIR’s performance to state-ofthe art alternatives via a diverse collection of experiments encompassing denoising, deconvolution, sparse and limited angle of view X-ray computed tomography (2D and 3D), and nonlinear diffuse optical tomography (DOT) tasks using both real anden
dc.description.versionAccepted versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1088/1361-6420/ada798en
dc.identifier.eissn1361-6420en
dc.identifier.issn1361-6420en
dc.identifier.orcidDe Sturler, Eric [0000-0002-9412-9360]en
dc.identifier.urihttps://hdl.handle.net/10919/124277en
dc.language.isoenen
dc.publisherIOPen
dc.relation.urihttps://iopscience.iop.org/en
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectLevel-seten
dc.subjectPaLSen
dc.subjectParametricen
dc.subjectreconstructionen
dc.subjecttomographyen
dc.subjectpiecewise constanten
dc.titleParametric level-sets enhanced to improve reconstruction (PaLEnTIR)en
dc.title.serialInverse Problemsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dcterms.dateAccepted2025-01-08en
pubs.organisational-groupVirginia Techen
pubs.organisational-groupVirginia Tech/Scienceen
pubs.organisational-groupVirginia Tech/Science/Mathematicsen
pubs.organisational-groupVirginia Tech/All T&R Facultyen
pubs.organisational-groupVirginia Tech/Science/COS T&R Facultyen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Ozsar+et+al_2025_Inverse_Problems_10.1088_1361-6420_ada798.pdf
Size:
3.04 MB
Format:
Adobe Portable Document Format
Description:
Accepted version
Download
License bundle
Now showing 1 - 1 of 1
Name:
license.txt
Size:
1.5 KB
Format:
Plain Text
Description:
Download

Collections

All Faculty Deposits
Scholarly Works, Mathematics