Physical constraints to directly control the output restoration are in
troduced in each iteration of solving the spectral or image formation
equation. For the purpose of increasing the restoration sensitivity an
d the capability of smoothing noises, the fitting technique is used to
reform the resolved equation. Our reconstruction results for Monte Ca
rlo samples and observation data from space high energy astronomy show
that, in comparison with traditional restorations, the direct method
has high sensitivity, high resolution ability and capability of effect
ively reducing the effect of statistical fluctuation in data and can b
e used in the case of poor statistics. This method is model independen
t and has the capability to simultaneously represent both the extended
and discrete features in object.