  The ``P32'' Astronomical Observation Template (AOT) provided a means to map
large areas of sky (up to 45 x 45 arcmin) in the far-infrared (FIR) at high
redundancy and with sampling close to the Nyquist limit using the ISOPHOT C100
(3 x 3) and C200 (2 x 2) detector arrays on board the Infrared Space
Observatory (ISO). However, the transient response behaviour of the Ga:Ge
detectors, if uncorrected, can lead to severe systematic photometric errors and
distortions of source morphology on maps. We describe the basic concepts of an
algorithm which can successfully correct for transient response artifacts in
P32 observations. Examples are given to demonstrate the photometric and imaging
performance of ISOPHOT P32 observations of point and extended sources corrected
using the algorithm. For extended sources we give the integrated flux densities
of the nearby galaxies NGC6946, M51 and M101 and an image of M101 at 100
micron.
