{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,30]],"date-time":"2025-09-30T04:36:29Z","timestamp":1759206989430,"version":"3.37.3"},"reference-count":22,"publisher":"Wiley","license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61562057","61461025","2014-RC-7","145RJZA080","2013005","2013009"],"award-info":[{"award-number":["61562057","61461025","2014-RC-7","145RJZA080","2013005","2013009"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61562057","61461025","2014-RC-7","145RJZA080","2013005","2013009"],"award-info":[{"award-number":["61562057","61461025","2014-RC-7","145RJZA080","2013005","2013009"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Lanzhou Science and Technology Innovation and Entrepreneurship Projects","award":["61562057","61461025","2014-RC-7","145RJZA080","2013005","2013009"],"award-info":[{"award-number":["61562057","61461025","2014-RC-7","145RJZA080","2013005","2013009"]}]},{"DOI":"10.13039\/501100004775","name":"Natural Science Foundation of Gansu Province","doi-asserted-by":"publisher","award":["61562057","61461025","2014-RC-7","145RJZA080","2013005","2013009"],"award-info":[{"award-number":["61562057","61461025","2014-RC-7","145RJZA080","2013005","2013009"]}],"id":[{"id":"10.13039\/501100004775","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010249","name":"Youth Science Foundation of Lanzhou Jiaotong University","doi-asserted-by":"crossref","award":["61562057","61461025","2014-RC-7","145RJZA080","2013005","2013009"],"award-info":[{"award-number":["61562057","61461025","2014-RC-7","145RJZA080","2013005","2013009"]}],"id":[{"id":"10.13039\/501100010249","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100010249","name":"Youth Science Foundation of Lanzhou Jiaotong University","doi-asserted-by":"crossref","award":["61562057","61461025","2014-RC-7","145RJZA080","2013005","2013009"],"award-info":[{"award-number":["61562057","61461025","2014-RC-7","145RJZA080","2013005","2013009"]}],"id":[{"id":"10.13039\/501100010249","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods in Medicine"],"published-print":{"date-parts":[[2016]]},"abstract":"<jats:p>The nonrigid registration algorithm based on B-spline Free-Form Deformation (FFD) plays a key role and is widely applied in medical image processing due to the good flexibility and robustness. However, it requires a tremendous amount of computing time to obtain more accurate registration results especially for a large amount of medical image data. To address the issue, a parallel nonrigid registration algorithm based on B-spline is proposed in this paper. First, the Logarithm Squared Difference (LSD) is considered as the similarity metric in the B-spline registration algorithm to improve registration precision. After that, we create a parallel computing strategy and lookup tables (LUTs) to reduce the complexity of the B-spline registration algorithm. As a result, the computing time of three time-consuming steps including B-splines interpolation, LSD computation, and the analytic gradient computation of LSD, is efficiently reduced, for the B-spline registration algorithm employs the Nonlinear Conjugate Gradient (NCG) optimization method. Experimental results of registration quality and execution efficiency on the large amount of medical images show that our algorithm achieves a better registration accuracy in terms of the differences between the best deformation fields and ground truth and a speedup of 17 times over the single-threaded CPU implementation due to the powerful parallel computing ability of Graphics Processing Unit (GPU).<\/jats:p>","DOI":"10.1155\/2016\/7419307","type":"journal-article","created":{"date-parts":[[2016,12,7]],"date-time":"2016-12-07T21:01:07Z","timestamp":1481144467000},"page":"1-14","source":"Crossref","is-referenced-by-count":12,"title":["A Parallel Nonrigid Registration Algorithm Based on B-Spline for Medical Images"],"prefix":"10.1155","volume":"2016","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0612-6064","authenticated-orcid":true,"given":"Xiaogang","family":"Du","sequence":"first","affiliation":[{"name":"School of Electronic & Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4504-5758","authenticated-orcid":true,"given":"Jianwu","family":"Dang","sequence":"additional","affiliation":[{"name":"School of Electronic & Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yangping","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Electronic & Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China"},{"name":"Lanzhou Yuxin Information Technology Limited Liability Company, Lanzhou 730000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Song","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Electronic & Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9639-6043","authenticated-orcid":true,"given":"Tao","family":"Lei","sequence":"additional","affiliation":[{"name":"College of Electrical & Information Engineering, Shaanxi University of Science & Technology, Xi\u2019an 710021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1109\/tmi.2013.2265603"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.3389\/fninf.2013.00050"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.ultrasmedbio.2014.08.013"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2011.05.010"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.cmpb.2014.08.004"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2009.2038908"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1088\/0031-9155\/59\/1\/97"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/42.796284"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2003.819299"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1118\/1.3578605"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2013.05.008"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2009.935387"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.cmpb.2010.10.009"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1109\/TITB.2003.808506"},{"key":"19","first-page":"313","volume":"2","year":"2005","journal-title":"GPU Gems"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.cmpb.2009.09.002"},{"year":"2013","key":"22"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1109\/JBHI.2014.2310745"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1016\/j.cmpb.2015.12.018"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1109\/tvcg.2004.1260760"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2007.909412"},{"year":"2015","key":"29"}],"container-title":["Computational and Mathematical Methods in Medicine"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2016\/7419307.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2016\/7419307.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2016\/7419307.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T11:08:02Z","timestamp":1589713682000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/cmmm\/2016\/7419307\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"references-count":22,"alternative-id":["7419307","7419307"],"URL":"https:\/\/doi.org\/10.1155\/2016\/7419307","relation":{},"ISSN":["1748-670X","1748-6718"],"issn-type":[{"type":"print","value":"1748-670X"},{"type":"electronic","value":"1748-6718"}],"subject":[],"published":{"date-parts":[[2016]]}}}