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Wave atoms for digital hologram compression.

Tobias Birnbaum, Ayyoub Ahar, David Blinder

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    This summary is machine-generated.

    Wave atom coding (WAC) offers a new solution for compressing macroscopic digital holograms. This method significantly outperforms JPEG 2000 and rivals H.265/HEVC, especially for computer-generated holograms.

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    Area of Science:

    • Digital holography
    • Image compression
    • Signal processing

    Background:

    • Macroscopic digital hologram compression is crucial for multimedia applications.
    • Existing compression methods struggle with holographic data, limiting holography's potential.
    • The optimal representation for hologram compression remains an open research question.

    Purpose of the Study:

    • To investigate the effectiveness of the wave atom transform for macroscopic digital hologram compression.
    • To develop and evaluate a novel Wave Atom Coding (WAC) method for hologram compression.
    • To compare WAC performance against established compression standards like JPEG 2000 and H.265/HEVC.

    Main Methods:

    • Sparsification of macroscopic digital holograms using the wave atom transform.
    • Experimentation on four large-scale diffuse macroscopic holograms.
    • Testing compressibility in object, Fourier, and defocused plane representations.
    • Integration of wave atom transform into a Wave Atom Coding (WAC) codec.
    • Comparative analysis with JPEG 2000 variants and H.265/HEVC.

    Main Results:

    • Wave atom transform is a suitable nonadaptive, sparsifying transform for Fourier or defocused hologram content.
    • The WAC method demonstrates superior performance compared to JPEG 2000 variants (0.9-7.9 dB Bjøntegaard-Delta improvement).
    • WAC achieves performance comparable to or better than H.265/HEVC for very deep computer-generated holograms.

    Conclusions:

    • Wave atom coding (WAC) presents a promising approach for macroscopic digital hologram compression.
    • WAC offers significant improvements over existing methods, particularly for Fourier and defocused holograms.
    • This research advances the feasibility of holography in multimedia contexts by addressing compression challenges.