{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,6]],"date-time":"2026-07-06T12:09:55Z","timestamp":1783339795148,"version":"3.54.6"},"reference-count":93,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"funder":[{"name":"TUBA GEBIP 2015 Fellowship"},{"name":"BAGEP 2017 Fellowship"},{"name":"T\u00dcB\u0130TAK 1001","award":["23AG005"],"award-info":[{"award-number":["23AG005"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Med. Imaging"],"published-print":{"date-parts":[[2026,6]]},"DOI":"10.1109\/tmi.2026.3673956","type":"journal-article","created":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T19:53:41Z","timestamp":1773431621000},"page":"3229-3245","source":"Crossref","is-referenced-by-count":4,"title":["Learning Fourier-Constrained Diffusion Bridges for MRI Reconstruction"],"prefix":"10.1109","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-2146-7940","authenticated-orcid":false,"given":"M. Usama","family":"Mirza","sequence":"first","affiliation":[{"name":"Department of Electrical-Electronics Engineering, Bilkent University, Ankara, T&#xFC;rkiye"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Onat","family":"Dalmaz","sequence":"additional","affiliation":[{"name":"Department of Electrical-Electronics Engineering, Bilkent University, Ankara, T&#xFC;rkiye"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hasan A.","family":"Bedel","sequence":"additional","affiliation":[{"name":"Department of Electrical-Electronics Engineering, Bilkent University, Ankara, T&#xFC;rkiye"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gokberk","family":"Elmas","sequence":"additional","affiliation":[{"name":"Department of Electrical-Electronics Engineering, Bilkent University, Ankara, T&#xFC;rkiye"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yilmaz","family":"Korkmaz","sequence":"additional","affiliation":[{"name":"Department of Electrical-Electronics Engineering, Bilkent University, Ankara, T&#xFC;rkiye"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alper","family":"Gungor","sequence":"additional","affiliation":[{"name":"Department of Electrical-Electronics Engineering, Bilkent University, Ankara, T&#xFC;rkiye"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Salman U. H.","family":"Dar","sequence":"additional","affiliation":[{"name":"Department of Electrical-Electronics Engineering, Bilkent University, Ankara, T&#xFC;rkiye"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kader K.","family":"Oguz","sequence":"additional","affiliation":[{"name":"National Magnetic Resonance Research Center (UMRAM), Bilkent University, Ankara, T&#xFC;rkiye"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2296-851X","authenticated-orcid":false,"given":"Tolga","family":"\u00c7ukur","sequence":"additional","affiliation":[{"name":"Department of Electrical-Electronics Engineering, Bilkent University, Ankara, T&#xFC;rkiye"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.21391"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2020.101687"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2019.2950557"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2019.2950433"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1186\/s12880-021-00727-9"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/msp.2022.3215288"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2022.3141367"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2022.3203867"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.30105"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/ISBI.2016.7493320"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-59050-9_51"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.26977"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1038\/nature25988"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2018.2865356"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.28148"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1002\/mp.12600"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6560\/aac71a"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2018.2820120"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2017.2785879"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.27201"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2018.06.030"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2018.2858752"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-87231-1_30"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2022.3144619"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2022.3161875"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2023.102760"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TCI.2023.3304475"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.27921"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2020.3001737"},{"key":"ref30","article-title":"ReconFormer: Accelerated MRI reconstruction using recurrent transformer","author":"Guo","year":"2022","journal-title":"arXiv:2201.09376"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.27827"},{"key":"ref32","first-page":"1","article-title":"Zero-shot physics-guided deep learning for subject-specific mri reconstruction","volume-title":"Proc. NeurIPS Workshop DLIP","author":"Yaman"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2022.3203312"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.29750"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/j.compbiomed.2022.106513"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2018.2887072"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2022.3199595"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1117\/12.2527753"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2022.3147426"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.28274"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TCI.2021.3097596"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2022.3220757"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.29547"},{"key":"ref44","first-page":"1","article-title":"Solving inverse problems in medical imaging with score-based generative models","volume-title":"Proc. ICLR","author":"Song"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2023.102872"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2024.3351702"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.29624"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2023.3288219"},{"key":"ref49","first-page":"14938","article-title":"Robust compressed sensing MRI with deep generative priors","volume-title":"Proc. NeurIPS","volume":"34","author":"Jalal"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2022.102479"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-16446-0_62"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-16446-0_59"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1002\/nbm.5232"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.30082"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2024.3440227"},{"key":"ref56","first-page":"1","article-title":"Diffusion posterior sampling for general noisy inverse problems","volume-title":"Proc. ICLR","author":"Chung"},{"key":"ref57","first-page":"1","article-title":"Decomposed diffusion sampler for accelerating largescale inverse problems","volume-title":"Proc. ICLR","author":"Chung"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR52688.2022.01209"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2024.3473009"},{"key":"ref60","first-page":"1","article-title":"Regularization by denoising diffusion process for MRI reconstruction","volume-title":"Proc. NeurIPS Workshop DLIP","author":"Ozturkler"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2024.3462988"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.52202\/075280-1789"},{"key":"ref63","first-page":"1","article-title":"Soft diffusion: Score matching for general corruptions","author":"Daras","year":"2022","journal-title":"Trans. Mach. Learn. Res."},{"key":"ref64","article-title":"Progressive deblurring of diffusion models for coarse-to-fine image synthesis","author":"Lee","year":"2022","journal-title":"arXiv:2207.11192"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1148\/ryai.210313"},{"key":"ref66","article-title":"EDiff-I: Text-to-image diffusion models with an ensemble of expert denoisers","author":"Balaji","year":"2022","journal-title":"arXiv:2211.01324"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-43999-5_1"},{"key":"ref68","first-page":"22042","article-title":"I2SB: Image-to-image Schr\u00f6dinger Bridge","volume-title":"Proc. ICML","author":"Liu"},{"key":"ref69","article-title":"DiracDiffusion: Denoising and incremental reconstruction with assured data-consistency","author":"Fabian","year":"2023","journal-title":"arXiv:2303.14353"},{"key":"ref70","first-page":"1","article-title":"Inversion by direct iteration: An alternative to denoising diffusion for image restoration","author":"Delbracio","year":"2023","journal-title":"Trans. Mach. Learn. Res."},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.52202\/075280-0313"},{"key":"ref72","first-page":"6840","article-title":"Denoising diffusion probabilistic models","volume-title":"Proc. NIPS","author":"Ho"},{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2025.103747"},{"key":"ref74","volume-title":"Fundamentals of Digital Image Processing","author":"Jain","year":"1989"},{"key":"ref75","article-title":"Solving inverse problems in medical imaging with score-based generative models","author":"Song","year":"2021","journal-title":"arXiv:2111.08005"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1162\/NECO_a_00142"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.73.814"},{"key":"ref78","first-page":"8162","article-title":"Improved denoising diffusion probabilistic models","volume-title":"Proc. 38th Int. Conf. Mach. Learn.","volume":"139","author":"Nichol"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.1148\/ryai.2020190007"},{"key":"ref80","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.24267"},{"key":"ref81","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.24751"},{"key":"ref82","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.25717"},{"key":"ref83","doi-asserted-by":"publisher","DOI":"10.1109\/TCI.2024.3422840"},{"key":"ref84","article-title":"Pseudo numerical methods for diffusion models on manifolds","author":"Liu","year":"2022","journal-title":"arXiv:2202.09778"},{"key":"ref85","doi-asserted-by":"publisher","DOI":"10.1109\/IEEECONF59524.2023.10477042"},{"key":"ref86","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2024.3507008"},{"key":"ref87","doi-asserted-by":"publisher","DOI":"10.58530\/2023\/0158"},{"key":"ref88","doi-asserted-by":"publisher","DOI":"10.1109\/TBME.2018.2883958"},{"key":"ref89","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.28378"},{"key":"ref90","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2020.2998402"},{"key":"ref91","article-title":"Self-score: Self-supervised learning on score-based models for MRI reconstruction","author":"Cui","year":"2022","journal-title":"arXiv:2209.00835"},{"key":"ref92","article-title":"DDM2: Self-supervised diffusion MRI denoising with generative diffusion models","author":"Xiang","year":"2023","journal-title":"arXiv:2302.03018"},{"key":"ref93","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2022.3180228"}],"container-title":["IEEE Transactions on Medical Imaging"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/42\/11550367\/11433825.pdf?arnumber=11433825","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,6,4]],"date-time":"2026-06-04T19:55:49Z","timestamp":1780602949000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/11433825\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,6]]},"references-count":93,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tmi.2026.3673956","relation":{},"ISSN":["0278-0062","1558-254X"],"issn-type":[{"value":"0278-0062","type":"print"},{"value":"1558-254X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,6]]}}}