  The hard X-ray modulation telescope mission HXMT is mainly devoted to
performing an all-sky survey at 1 keV -- 250 keV with both high sensitivity and
high spatial resolution. The observed data reduction as well as the image
reconstruction for HXMT can be achieved by direct demodulation method (DDM).
However the original DDM is computationally too expensive for multi-dimensional
data with high resolution to employ for HXMT data. In this article we propose
an accelerated direct demodulation method adapted for data from HXMT.
Simulations are also presented to demonstrate this method.
