  X-ray single particle imaging involves the measurement of a large number of
noisy diffraction patterns of isolated objects in random orientations. The
missing information about these patterns is then computationally recovered in
order to obtain a three-dimensional structure of the particle. While the method
has promised to deliver room temperature structures at near-atomic resolution,
there have been significant experimental hurdles in collecting data of
sufficient quality and quantity to achieve this goal. This paper describes two
ways to modify the conventional methodology which significantly ease the
experimental challenges, at the cost of additional computational complexity in
the reconstruction procedure. Both these methods involve the use of holographic
reference objects in close proximity to the sample of interest, whose structure
can be described with only a few parameters. A reconstruction algorithm to
recover the unknown degrees of freedom is also proposed and tested with
toy-model simulations.
