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Online Size-exclusion and Ion-exchange Chromatography on a SAXS Beamline

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Mitigating ringing artifacts in diffraction calculations using average subtractions.

Tomoyoshi Shimobaba, Ikuo Hoshi, Harutaka Shiomi

|October 6, 2021

Summary

This summary is machine-generated.

A new de-ringing method effectively reduces artifacts in Fourier transform diffraction calculations. This technique improves computational optics by enhancing accuracy in on-axis and off-axis computations and holography.

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Area of Science:

Computational optics
Digital holography
Image processing

Background:

Fourier transform-based diffraction calculations are crucial in computational optics.
Zero-padding, while useful for convolution and sampling, introduces significant ringing artifacts that corrupt these calculations.

Purpose of the Study:

To introduce a simple and effective de-ringing method for Fourier transform-based diffraction calculations.
To address the issue of ringing artifacts caused by zero-padding.

Main Methods:

Proposed a novel de-ringing technique utilizing average subtractions.
Applied and compared the method with existing techniques: zero-padding, flat-top window, and mirror expansion.
Validated the method on both on-axis and off-axis diffraction calculations.

Main Results:

The proposed average subtraction method significantly reduced ringing artifacts compared to other methods.
Demonstrated the effectiveness of the de-ringing technique in hologram calculations using double phase encoding.
Confirmed successful application in image reconstructions for inline digital holography.

Conclusions:

The proposed average subtraction de-ringing method is a simple yet powerful tool for improving the accuracy of Fourier transform-based diffraction calculations.
This method offers a viable solution for mitigating artifacts in computational optics and digital holography applications.