V. A. Ivanov, M. Ya. Marusina, N. G. Rushchenko, V. S. Sizikov
Saint-Petersburg State Institute of Fine Mechanics and Optics (Technical University)
The problem of reconstruction of NMR images subject to inhomogeneities
of the ground magnetic field B and gradient fields Gx,
Gy,
Gz
is considered. The inhomogeneities dB(x,
y), dGx(x,
y),
dGy(x, y), dGz(x,
y) must be
known deterministic monotone functions. The problem is solved by the modified
Kummar-Welti-Ernst method and the Tikhonov regularization method.