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_A form of single-particle imaging has been experimentally realized where near-identical copies of a single target particle are interrogated (and destroyed) by diffractive imaging. Although each target particle produces an extremely noisy diffraction data of unknown orientation, a successful assembly of very many such data into the target's original 3D diffraction intensities not only reduces noise but can also in turn be used for structure determination. Using a simpler toy model, I will plainly describe how the EMC reconstruction framework \[1\] can accommodate such noise and orientational uncertainty: by requiring that all the collected 2D diffraction data fit agreeably with a set of common, reconstructed 3D intensities distribution. The ultimate challenge, naturally, is to recover such a set of 3D intensities distribution, with only the most general sample-independent assumptions.  To conclude, I will show how this EMC framework was modified and already successfully applied to experimental diffraction data \[2\]._

\[1\] N. D. Loh and V. Elser; Phys. Rev. E 80:026705, 2009.