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DTSTART;TZID=Europe/Stockholm:20220628T090000
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UID:submissions.pasc-conference.org_PASC22_sess181_pos111@linklings.com
SUMMARY:P05 - A Circular Harmonic Oscillator Basis for Image Compression
DESCRIPTION:Poster\n\nP05 - A Circular Harmonic Oscillator Basis for Image
  Compression\n\nBaumeister, Bangun, Weber\n\nPolar coordinates are frequen
 tly used to transform 2D images appearing in 4D scanning transmission elec
 tron microscopy (4D-STEM) as the dominant feature of the ronchigram is a c
 entral spot where the undeflected electron beam hits the detector. The inf
 ormation of interest resides in the deviations from a circular shape of th
 e spot.<br /><br />The function basis of the quantum mechanical harmonic o
 scillator consists of Hermite polynomials and a Gaussian envelope function
  for the one-dimensional problem. For the two-dimensional isotropic proble
 m, the basis can be represented either as a Cartesian product of two 1D ba
 sis functions or in polar coordinates. A unitary transformation connects b
 oth representations.<br /><br />To allow fast and affordable compression o
 f STEM images, we incorporate the Cartesian product representation as it l
 eads to two successive matrix-matrix multiplications. This compression met
 hod is particularly suitable for single-side-band (SSB) ptychography.<br /
 ><br />We present the explicit shape of the associated radial functions of
  a circular harmonic oscillator and compression factors in relation to com
 putational costs for a typical SSB ptychography application.
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