Title | Background field removal by solving the Laplacian boundary value problem. |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Zhou D, Liu T, Spincemaille P, Wang Y |
Journal | NMR Biomed |
Volume | 27 |
Issue | 3 |
Pagination | 312-9 |
Date Published | 2014 Mar |
ISSN | 1099-1492 |
Keywords | Algorithms, Humans, Magnetic Fields, Magnetic Resonance Imaging, Phantoms, Imaging |
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. |
DOI | 10.1002/nbm.3064 |
Alternate Journal | NMR Biomed |
PubMed ID | 24395595 |
Grant List | R01EB013443 / EB / NIBIB NIH HHS / United States R01NS072370 / NS / NINDS NIH HHS / United States R21CA152275 / CA / NCI NIH HHS / United States R21DK090690 / DK / NIDDK NIH HHS / United States |
Related Institute:
MRI Research Institute (MRIRI)