  To indirectly evaluate the asymmetry of the radiation drive under limited
measurement conditions in inertial confinement fusion research, we have
proposed an integral method to approximate the three-dimensional self-radiation
distribution of the compressed plasma core using only four pinhole images from
a single laser entrance hole at a maximum projection angle of 10{\deg}. The
simultaneous algebraic reconstruction technique (SART) that uses spatial
constraints provided by the prior structural information and the central
pinhole image is utilized in the simulation. The simulation results showed that
the normalized mean square deviation between the original distribution and
reconstruction results of the central radiation area of the simulated cavity
was 0.4401, and the structural similarity of the cavity radiation distribution
was 0.5566. Meanwhile, using more diagnostic holes could achieve better
structural similarity and lower reconstruction error. In addition, the results
indicated that our new proposed method could reconstruct the distribution of a
compressed plasma core in a vacuum hohlraum with high accuracy.
