  We propose a modification of Wigner Distribution Deconvolution (WDD) to
support live processing ptychography. Live processing allows to reconstruct and
display the specimen transfer function gradually while diffraction patterns are
acquired. For this purpose we reformulate WDD and apply a dimensionality
reduction technique that reduces memory consumption and increases processing
speed. We show numerically that this approach maintains the reconstruction
quality of specimen transfer functions as well as reduces computational
complexity during acquisition processes. Although we only present the
reconstruction for Scanning Transmission Electron Microscopy (STEM) datasets,
in general, the live processing algorithm we present in this paper can be
applied to real-time ptychographic reconstruction for different fields of
application.
