{"version":1,"kind":"Article","sha256":"","slug":"549","location":"","dependencies":[],"doi":"10.54294/uiiz4t","frontmatter":{"title":"Nonlinear Elastic Registration with Unbiased Regularization in Three Dimensions","abstract":"We propose a new nonlinear image registration model which is based on nonlinear elastic regularization and unbiased registration. The nonlinear elastic and the unbiased regularization terms are simplified using the change of variables by introducing an unknown that approximates the Jacobian matrix of the displacement field. This reduces the minimization to involve linear differential equations. In contrast to recently proposed unbiased fluid registration method, the new model is written in a unified variational form and is minimized using gradient descent. As a result, the new unbiased nonlinear elasticity model is computationally more efficient and easier to implement than the unbiased fluid registration. The unbiased large-deformation nonlinear elasticity method was tested using volumetric serial magnetic resonance images and shown to have some advantages for medical imaging applications.","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":["computational anatomy","unbiased image registration","magnetic resonance imaging","continuum mechanics","information theory"],"authors":[{"name":"Yanovsky, Igor","email":"igor.yanovsky@gmail.com","affiliations":["University of California, Los Angeles"],"corresponding":true},{"name":"Le Guyader, Carole","affiliations":[]},{"name":"Leow, Alex","affiliations":[]},{"name":"Thompson, Paul","affiliations":[]},{"name":"Vese, Luminita","affiliations":[]}],"date_submitted":"2008-05-20T06:15:50Z","external_publication_id":549,"revision_cids":["bafkreiejqvhoikvjkvyjhfoc36dtkwnmvdsdkalrkxxhvqk2nq5yjmpc7u"]},"mdast":{"type":"root"},"downloads":[{"url":"https://ipfs.desci.com/ipfs/bafkreifavd7e577kq5oc6nbht2dm7us36ykut2kzez2cbx32e2pvllwht4","title":"root/insight-journal-metadata.json","filename":"insight-journal-metadata.json","extra":{"size_bytes":10273,"type":"file"}},{"url":"https://ipfs.desci.com/ipfs/bafkreiffj6yq3xoa72z7y7lrcx4ssh7n2mlamfsiwg2u2zyvaqbhpk2e6u","title":"root/reviews.md","filename":"reviews.md","extra":{"size_bytes":2579,"type":"file"}},{"url":"https://dweb.link/ipfs/bafybeig3un2rwhdeujgvo3wiirlmbfq2ndkd7xcrzyxseixzypjlvq33mm","title":"root/article.pdf","filename":"article.pdf","extra":{"size_bytes":4186457,"type":"file"}}],"references":{"cite":{"order":["ref1","ref2","ref3","ref4","ref5","ref6","ref7","ref8","ref9","ref10","ref11","ref12"]},"data":{"ref1":{"label":"ref1","enumerator":"1","url":"https://doi.org/10.1007/bfb0046964","html":"Fast fluid registration of medical images+In Visualization in Biomedical Computing+267+276+1996+M. 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