NMR in BiomedicineVolume 27, Issue 3 p. 312-319 Research article Background field removal by solving the Laplacian boundary value problem Dong Zhou, Dong Zhou Department of Radiology, Weill Cornell Medical College, New York, NY, USASearch for more papers by this authorTian Liu, Tian Liu Medimagemetric, LLC, New York, NY, USASearch for more papers by this authorPascal Spincemaille, Pascal Spincemaille Department of Radiology, Weill Cornell Medical College, New York, NY, USASearch for more papers by this authorYi Wang, Corresponding Author Yi Wang Department of Radiology, Weill Cornell Medical College, New York, NY, USA Department of Biomedical Engineering, Cornell University, Ithaca, New York, NY, USA Biomedical Engineering, Kyung Hee University, Republic of Korea Correspondence to: Y. Wang, Department of Radiology, Weill Cornell Medical College, New York, NY, USA. E-mail: [email protected]Search for more papers by this author Dong Zhou, Dong Zhou Department of Radiology, Weill Cornell Medical College, New York, NY, USASearch for more papers by this authorTian Liu, Tian Liu Medimagemetric, LLC, New York, NY, USASearch for more papers by this authorPascal Spincemaille, Pascal Spincemaille Department of Radiology, Weill Cornell Medical College, New York, NY, USASearch for more papers by this authorYi Wang, Corresponding Author Yi Wang Department of Radiology, Weill Cornell Medical College, New York, NY, USA Department of Biomedical Engineering, Cornell University, Ithaca, New York, NY, USA Biomedical Engineering, Kyung Hee University, Republic of Korea Correspondence to: Y. Wang, Department of Radiology, Weill Cornell Medical College, New York, NY, USA. E-mail: [email protected]Search for more papers by this author First published: 07 January 2014 https://doi.org/10.1002/nbm.3064Citations: 146Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Abstract The removal of the background magnetic field is a critical step in generating phase images and quantitative susceptibility maps, which have recently been receiving increasing attention. Although it is known that the background field satisfies Laplace's equation, the boundary values of the background field for the region of interest have not been explicitly addressed in the existing methods, and they are not directly available from MRI measurements. In this paper, we assume simple boundary conditions and remove the background field by explicitly solving the boundary value problems of Laplace's or Poisson's equation. The proposed Laplacian boundary value (LBV) method for background field removal retains data near the boundary and is computationally efficient. Tests on a numerical phantom and an experimental phantom showed that LBV was more accurate than two existing methods. Copyright © 2014 John Wiley & Sons, Ltd. Citing Literature Volume27, Issue3March 2014Pages 312-319 RelatedInformation