  The application of a matrix-based reconstruction protocol for obtaining
Molecular Frame (MF) photoelectron angular distributions (MFPADs) from
laboratory frame (LF) measurements (LFPADs) is explored. Similarly to other
recent works on the topic of MF reconstruction, this protocol makes use of
time-resolved LF measurements, in which a rotational wavepacket is prepared and
probed via photoionization, followed by a numerical reconstruction routine;
however, in contrast to other methodologies, the protocol developed herein does
not require determination of photoionization matrix elements, and consequently
takes a relatively simple numerical form (matrix transform making use of the
Moore-Penrose inverse). Significantly, the simplicity allows application of the
method to the successful reconstruction of MFPADs for polyatomic molecules. The
scheme is demonstrated numerically for two realistic cases, $N_2$ and $C_2H_4$.
The new technique is expected to be generally applicable for a range of MF
reconstruction problems involving photoionization of polyatomic molecules.
