{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,14]],"date-time":"2026-07-14T14:51:31Z","timestamp":1784040691045,"version":"3.55.0"},"reference-count":58,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"NIH","award":["R01 EB023618"],"award-info":[{"award-number":["R01 EB023618"]}]},{"name":"NIH","award":["U01 EB026977"],"award-info":[{"award-number":["U01 EB026977"]}]},{"name":"NIH","award":["S10 OD026738"],"award-info":[{"award-number":["S10 OD026738"]}]},{"name":"NSF","award":["IIS 1838179"],"award-info":[{"award-number":["IIS 1838179"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Comput. Imaging"],"published-print":{"date-parts":[[2023]]},"DOI":"10.1109\/tci.2023.3240081","type":"journal-article","created":{"date-parts":[[2023,1,26]],"date-time":"2023-01-26T13:58:42Z","timestamp":1674741522000},"page":"43-54","source":"Crossref","is-referenced-by-count":13,"title":["Efficient Approximation of Jacobian Matrices Involving a Non-Uniform Fast Fourier Transform (NUFFT)"],"prefix":"10.1109","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1622-5664","authenticated-orcid":false,"given":"Guanhua","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Biomedical Engineering, University of Michigan, Ann Arbor, MI, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9998-3315","authenticated-orcid":false,"given":"Jeffrey A.","family":"Fessler","sequence":"additional","affiliation":[{"name":"Department of EECS, University of Michigan, Ann Arbor, MI, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1984.12915"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2002.806423"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2004.824233"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1002\/jmri.24521"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2010.936726"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2002.807005"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmr.2014.01.016"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-021-97995-w"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP40776.2020.9053345"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.23919\/EUSIPCO.2019.8903150"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.1910300306"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s10334-010-0234-7"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TCI.2020.3006727"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2020.3017353"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP40776.2020.9053331"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.22180"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2019.2896180"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/0022-2364(91)90106-4"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/42.897808"},{"key":"ref20","article-title":"Optimal sampling of k-space with Cartesian grids for parallel MR imaging","volume-title":"Proc. Int. Soc. Magn. Reson. Med","author":"Xu","year":"2005"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2017.2766131"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.59275\/j.melba.2021-1a1f"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2020.3004094"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2022.3161875"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.29212"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.2020516118"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/42.918471"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2005.848376"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1522-2594(199911)42:5<952::AID-MRM16>3.0.CO;2-S"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2002.808360"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2020.2984313"},{"key":"ref32","article-title":"Reconstruction may benefit from tailored sampling trajectories: Optimizing non-cartesian trajectories for model-based reconstruction","volume-title":"Proc. Int. Soc. Mag. Res. Med","author":"Wang","year":"2022"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0939-3"},{"key":"ref34","article-title":"The complex gradient operator and the CR-calculus","author":"Kreutz-Delgado","year":"2009"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2007.893762"},{"key":"ref36","article-title":"Numerator layout notation","year":"2022"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1002\/SERIES1345"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/BF00927673"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2018.2865356"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2010.2093536"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TCI.2016.2629286"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2005.853152"},{"key":"ref43","article-title":"Stochastic optimization of 3D non-cartesian sampling trajectory (SNOPY)","author":"Wang","year":"2022"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2007.914728"},{"key":"ref45","article-title":"An introduction to the conjugate gradient method without the agonizing pain","author":"Shewchuk","year":"1994"},{"key":"ref46","article-title":"TorchKbNufft: A high-level, hardware-agnostic non-uniform fast Fourier transform","volume-title":"Proc. ISMRM Workshop Data Sampling Image Reconstruction","author":"Muckley","year":"2020"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.28569"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.1910380117"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-018-1287-4"},{"issue":"1","key":"ref50","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1109\/MSP.2019.2943645","article-title":"Optimization methods for magnetic resonance image reconstruction: Key models and optimization algorithms","volume":"37","author":"Fessler","year":"2020","journal-title":"IEEE Signal Process. Mag."},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2004.842452"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.24751"},{"key":"ref53","article-title":"fastMRI: An open dataset and benchmarks for accelerated MRI","author":"Zbontar","year":"2018"},{"key":"ref54","article-title":"Adam: A method for stochastic optimization","author":"Kingma","year":"2017"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1109\/ICPR.2010.579"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.27678"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1137\/16M1059205"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.2201062119"}],"container-title":["IEEE Transactions on Computational Imaging"],"original-title":[],"link":[{"URL":"https:\/\/ieeexplore.ieee.org\/ielam\/6745852\/10038323\/10026464-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6745852\/10038323\/10026464.pdf?arnumber=10026464","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T17:42:17Z","timestamp":1760377337000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10026464\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"references-count":58,"URL":"https:\/\/doi.org\/10.1109\/tci.2023.3240081","relation":{},"ISSN":["2333-9403","2334-0118","2573-0436"],"issn-type":[{"value":"2333-9403","type":"electronic"},{"value":"2334-0118","type":"electronic"},{"value":"2573-0436","type":"print"}],"subject":[],"published":{"date-parts":[[2023]]}}}