{"version":1,"kind":"Article","sha256":"","slug":"83","location":"","dependencies":[],"doi":"10.54294/ylm7zt","frontmatter":{"title":"Incorporating Metric Flows and Sparse Jacobian Transformations in ITK","abstract":"Various metrics have been proposed in the literature for performing intrinsic automatic image to image registration. Among these measures, mutual information is a very popular one because of its robustness and accuracy for a wide variety of applications. In this paper, we propose a filter for performing non-rigid registration by estimating a dense deformation field derived from the mutual information metric. This filter takes place in the ITK PDE deformable registration design like the Demons algorithm of Thirion. We also show how the concept of metric flow is conceptually linked to the concept of metric derivative for a prior transformation model by the transformation jacobian. We also suggest a sparse implementation of the GetJacobian() method for reducing the computation time of a metric derivative for local transformations models.","license":"You are licensing your work to Kitware Inc. under the\nCreative Commons Attribution License Version 3.0.\n\nKitware Inc. agrees to the following:\n\nKitware is free\n * to copy, distribute, display, and perform the work\n * to make derivative works\n * to make commercial use of the work\n\nUnder the following conditions:\n\\\"by Attribution\\\" - Kitware must attribute the work in the manner specified by the author or licensor.\n\n * For any reuse or distribution, they must make clear to others the license terms of this work.\n * Any of these conditions can be waived if they get permission from the copyright holder.\n\nYour fair use and other rights are in no way affected by the above.\n\nThis is a human-readable summary of the Legal Code (the full license) available at\nhttp://creativecommons.org/licenses/by/3.0/legalcode","keywords":["Non-rigid registration","Metric flow","Local Jacobian"],"authors":[{"name":"De Craene, Mathieu","email":"decraene@gmail.com","affiliations":[]},{"name":"du Bois d'Aische, Aloys","email":"duboisda@tele.ucl.ac.be","affiliations":[]},{"name":"Macq, Benoit","affiliations":[]},{"name":"Warfield, Simon K","email":"simon.warfield@childrens.harvard.edu","affiliations":[]}],"date_submitted":"2006-03-08T10:37:57Z","external_publication_id":83,"revision_cids":["bafkreifqucexyetvx4d3ertvwknmk4jibfmk6el3d5z3agbbetet7jtw2y"]},"mdast":{"type":"root"},"downloads":[{"url":"https://pub.desci.com/ipfs/bafkreibughhl62xqinacyd74woxbt7bp7k5il6r77lmgyqoi2s5e5fond4","title":"root/code/InsightJournal/CompileAll.sh","filename":"CompileAll.sh","extra":{"size_bytes":165,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreiehoazn47qbxgpjdfjhea4b6kmz3afc4ughxavrbgj3l6llksdos4","title":"root/code/InsightJournal/Document/LaTeX/Article.pdf","filename":"Article.pdf","extra":{"size_bytes":617199,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreihzupt44x5cdkh3cya5jbcjmoawqspkexesvvietposecf5gj6c7e","title":"root/code/InsightJournal/Document/LaTeX/Article.tcp","filename":"Article.tcp","extra":{"size_bytes":199,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreigizeny55qfsy5djb2ryuipayygtcxgfxyzlvrcp4wi5qezoaxjwi","title":"root/code/InsightJournal/Document/LaTeX/Article.tex","filename":"Article.tex","extra":{"size_bytes":3350,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreiej3wa25rt4o2kfdplauybtspywmv567dkbt76gczohnvgzznk7dy","title":"root/code/InsightJournal/Document/LaTeX/ArticleExample.tex","filename":"ArticleExample.tex","extra":{"size_bytes":6197,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreia53zt3zfehczv2hjz2cik7lixqgairh5aveggxtpmn5tn5leb6o4","title":"root/code/InsightJournal/Document/LaTeX/Bibliography.bib","filename":"Bibliography.bib","extra":{"size_bytes":52756,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreihbzen774nsc6qa23qiltdecvsxl4dukectp7bewadgxghvrykgea","title":"root/code/InsightJournal/Document/LaTeX/InsightArticle.cls","filename":"InsightArticle.cls","extra":{"size_bytes":4003,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreifciou2aavrwy4btq4eysbcgppc7r5rcvnrisasakz25douasg3by","title":"root/code/InsightJournal/Document/LaTeX/InsightJournal.bib","filename":"InsightJournal.bib","extra":{"size_bytes":159496,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreihhk4q7ji7a7mf5whwhe4cyjse2be35hl22cc23phtitszcfhhxyi","title":"root/code/InsightJournal/Document/LaTeX/InsightJournal.ist","filename":"InsightJournal.ist","extra":{"size_bytes":220,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreifooaxa3pprzuib57fv5nqiy7zwyehpn2ampvrbusyl3kjswdmpge","title":"root/code/InsightJournal/Document/LaTeX/InsightJournal.sty","filename":"InsightJournal.sty","extra":{"size_bytes":35878,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreiagn2rbupt4qzscbj4oixzeflu7symn4tdwv5ckbwgaqe6ldby6tq","title":"root/code/InsightJournal/Document/LaTeX/Makefile","filename":"Makefile","extra":{"size_bytes":520,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreiet7uhlgharf22alaz5xdy5p5oshdd6nenryblibvzhnzupg3kwji","title":"root/code/InsightJournal/Document/LaTeX/algorithm.sty","filename":"algorithm.sty","extra":{"size_bytes":2223,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreifmvoerc5nldoiersgcd433y7zqx2dor5r52x73jhs5fmrlide4ue","title":"root/code/InsightJournal/Document/LaTeX/algorithmic.sty","filename":"algorithmic.sty","extra":{"size_bytes":5564,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreia74prxyxal4wrht3tu25ayv77gd3m4r3z3boglhsqwjcmxl2i6gi","title":"root/code/InsightJournal/Document/LaTeX/amssymb.sty","filename":"amssymb.sty","extra":{"size_bytes":15232,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreidgztcxsqpq2ouxtzvw3xz2l7ljaqkdbj5vu2e4vjtcktudtrnjc4","title":"root/code/InsightJournal/Document/LaTeX/doubleWordCheck.pl","filename":"doubleWordCheck.pl","extra":{"size_bytes":410,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreift6yoe2q2ofarabu7pcv4yal7dc2teqhpdjanybr2emqxyfqdjbi","title":"root/code/InsightJournal/Document/LaTeX/fancyhdr.sty","filename":"fancyhdr.sty","extra":{"size_bytes":14699,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreiahbnr5hf2qmjo6hd2k4ytpq5k7yzwyaf4kd77kypubsu5aurj62a","title":"root/code/InsightJournal/Document/LaTeX/floatflt.sty","filename":"floatflt.sty","extra":{"size_bytes":11060,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreidtzeamzad44vct5y6ehkdpgrzo2phkaqfzvzdmozvb66oswpoe5m","title":"root/code/InsightJournal/Document/LaTeX/fncychap.sty","filename":"fncychap.sty","extra":{"size_bytes":10359,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreiapnjtir36tcynydwjrizc3cm6vskb2m6xq7htskqups2ljaxa5ru","title":"root/code/InsightJournal/Document/LaTeX/times.sty","filename":"times.sty","extra":{"size_bytes":857,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreic3zop32jiiclytrxyzfzselkrb7mt7yvqng3xfsvevc7xwcjrwy4","title":"root/code/InsightJournal/Document/LaTeX/sections/abstract.tex","filename":"abstract.tex","extra":{"size_bytes":1058,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreiatv5ua2mcvenf5zd2mufxkhabbed5qlh7jbw4ornlejzm4opbvdq","title":"root/code/In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