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Accurate efficient carrier estimation for single-shot digital holographic imaging
Optics Letters
|November 3, 2016
Summary
This study introduces a two-step method to accurately locate carrier frequency peaks in digital holograms, improving image reconstruction. The technique effectively removes residual tilt artifacts for precise demodulation.
Area of Science:
- Optics and Photonics
- Digital Image Processing
Background:
- Off-axis digital holograms are typically processed using Fourier transform methods.
- Standard Fast Fourier Transform (FFT) routines have limitations in peak location accuracy due to pixel size, causing residual carrier components.
Purpose of the Study:
- To develop an efficient, sub-pixel accurate method for cross-term peak location in digital holograms.
- To eliminate residual tilt artifacts in reconstructed holographic images.
Main Methods:
- A two-step process combining standard FFT peak finding with high-resolution Discrete Fourier Transform (DFT) calculation.
- High-resolution DFT is applied at the nominal peak location identified by FFT.
Main Results:
- The method achieves sub-pixel accuracy in carrier frequency peak location.
- Residual tilt artifacts caused by carrier frequency variations or fringe pattern rotation are uniformly removed.
- The computational overhead is marginal for practical applications.
Conclusions:
- The proposed two-step method offers a practical, single-shot solution for accurate demodulation of digital holograms.
- It overcomes the limitations of standard FFT by achieving sub-pixel accuracy and artifact removal.
