This paper concerns the spatial and intensity transformations that may
one image onto another. We present a general technique that facilitat
es nonlinear spatial (stereotactic) normalization and image realignmen
t. This technique minimizes the sum of squares between two images foll
owing nonlinear spatial deformations and transformations of the voxel
(intensity) values. The spatial and intensity transformations are obta
ined simultaneously, and explicitly, using a least squares solution an
d a series of linearising devices. The approach is completely noninter
active (automatic), nonlinear, and noniterative. It can be applied in
any number of dimensions. Various applications are considered, includi
ng the realignment of functional magnetic resonance imaging (MRI) time
-series, the linear (affine) and nonlinear spatial normalization of po
sitron emission tomography (PET) and structural MRI images, the coregi
stration of PET to structural MRI, and, implicitly, the conjoining of
PET and MRI to obtain high resolution functional images. (C) 1996 Wile
y Liss, Inc.