if the noise component of image data is nonisotropic, i.e., if it has nonco
nstant smoothness or effective point spread function, then theoretical resu
lts for the P value of local maxima and the size of suprathreshold clusters
of a statistical parametric map (SPM) based on random field theory are not
valid. This assumption is reasonable for PET or smoothed fMRI data, but no
t if these data are projected onto an unfolded, inflated, or Battened 2D co
rtical surface. Anatomical data such as structure masks, surface displaceme
nts, and deformation vectors ate also highly nonisotropic. The solution off
ered here is to suppose that the image can be warped or flattened (in a sta
tistical sense) into a space where the data are isotropic. The subsequent c
orrected P values do not depend an finding this warping; it is sufficient o
nly to know that such a warping exists. (C) 1999 Wiley-Liss, Inc.