Look up Fourier Ptychography, i.e. like this presentation by Guoan Zheng [0]. Fourier Ptychography is basically a variation of Gerchberg-Saxton phase retrieval

Look up Fourier Ptychography, i.e. like this presentation by Guoan Zheng [0]. Fourier Ptychography is basically a variation of Gerchberg-Saxton phase retrieval in the sense that both methods and their variations reconstruct images from constraints. In Ptychography for microscopy they come from low-resolution, small-Field-of-View image captures. You can do superresolution with it and extend your field of view. Usually in microscopy, you have a very limited field of view but with the variations of this method, people have reconstructed multiple square-mm fields of view with a µm resolution. If you have multiple cameras, you can speed up the process [1]. This also has been done for volumetric samples with the ability to refocus. You'd probably need high speed cameras and coherent illumination (for best superresolution results). [0] https://www.youtube.com/watch?v=hece_x37ITg https://www.youtube.com/watch?v=hece_x37ITg [1] http://computationalimaging.rice.edu/databases/towardcca/ http://computationalimaging.rice.edu/databases/towardcca/