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Measuring the PSF from aperture images of arbitrary shape--an algorithm.

P N H Nakashima1, A W S Johnson

  • 1Department of Physics, University of Western Australia, Nedlands 6907, WesternAustralia.

Ultramicroscopy
|December 31, 2002
PubMed
Summary

A novel algorithm accurately determines the point spread function (PSF) of digital imaging systems using aperture images. This method achieves high accuracy, even with noisy data, advancing digital imaging analysis.

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Area of Science:

  • Digital Imaging
  • Image Analysis
  • Electron Microscopy

Background:

  • Accurate determination of the point spread function (PSF) is crucial for de-convolving images in digital imaging systems.
  • Existing methods may have limitations in handling irregular aperture shapes or varying noise levels.

Purpose of the Study:

  • To present a new algorithm for determining the PSF of digital imaging systems.
  • To validate the algorithm's accuracy and robustness across various conditions, including noise and de-focus.

Main Methods:

  • The algorithm utilizes an image of an aperture, refining its shape to sub-pixel resolution.
  • Point spread function (PSF) is determined via de-convolution, assuming uniform illumination and a step-function edge.
  • The method was tested on theoretical aperture images with varying shapes, PSFs, and noise levels.

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Main Results:

  • The algorithm recovered known PSFs with an accuracy of 0.2% to 0.8%, depending on noise levels.
  • Demonstrated results for a Gatan Image Filter on a Philips EM 430 transmission electron microscope.
  • Included an example of a de-convoluted convergent beam electron diffraction pattern, showing tolerance to minor de-focus.

Conclusions:

  • The developed algorithm provides a robust and accurate method for PSF determination in digital imaging.
  • The technique is effective even with irregular aperture shapes and tolerates some degree of de-focus and noise.