Compression of digital holograms is a major challenge that needs to be resolved to enable the efficient storage, transmission and rendering of macroscopic holographic signals. In this work, we propose to deploy the wave atom transform that has been utilized before for interferometric modalities such as acoustic and seismic signals. This non-adaptive multi- resolution transform has good space-frequency localization and its orthonormal basis is suitable for sparsifying holographic signals. By replacing the CDF 9/7 wavelet transform stage in a JPEG 2000 codec with the proposed wave atom transform, we did assess its suitability for coding complex amplitude wavefronts. Experimental results demonstrate improved rate-distortion performance with respect to JPEG 2000 and H.265/HEVC for a set of computer-generated, diffuse, macroscopic holograms.
Birnbaum, T, Ahar, A, Schretter, C, Blinder, D, Kozacki, T & Schelkens, P 2019, Wave Atoms for Lossy Compression of Digital Holograms. in J Serra-Sagrista, A Bilgin, JA Storer & MW Marcellin (eds), 2019 Data Compression Conference (2019). 2019 edn, 8712768, 2019 DATA COMPRESSION CONFERENCE (DCC), IEEE, pp. 398-407, Data Compression Conference (DCC 2019), Snowbird, Utah, United States, 26/03/19. https://doi.org/10.1109/DCC.2019.00048
Birnbaum, T., Ahar, A., Schretter, C., Blinder, D., Kozacki, T., & Schelkens, P. (2019). Wave Atoms for Lossy Compression of Digital Holograms. In J. Serra-Sagrista, A. Bilgin, J. A. Storer, & M. W. Marcellin (Eds.), 2019 Data Compression Conference (2019) (2019 ed., pp. 398-407). Article 8712768 (2019 DATA COMPRESSION CONFERENCE (DCC)). IEEE. https://doi.org/10.1109/DCC.2019.00048
@inproceedings{f2914626da5547b7828628aa94390adb,
title = "Wave Atoms for Lossy Compression of Digital Holograms",
abstract = "Compression of digital holograms is a major challenge that needs to be resolved to enable the efficient storage, transmission and rendering of macroscopic holographic signals. In this work, we propose to deploy the wave atom transform that has been utilized before for interferometric modalities such as acoustic and seismic signals. This non-adaptive multi- resolution transform has good space-frequency localization and its orthonormal basis is suitable for sparsifying holographic signals. By replacing the CDF 9/7 wavelet transform stage in a JPEG 2000 codec with the proposed wave atom transform, we did assess its suitability for coding complex amplitude wavefronts. Experimental results demonstrate improved rate-distortion performance with respect to JPEG 2000 and H.265/HEVC for a set of computer-generated, diffuse, macroscopic holograms.",
keywords = "Holography, compression, hologram, wave atoms, image coding",
author = "Tobias Birnbaum and Ayyoub Ahar and Colas Schretter and David Blinder and Tomasz Kozacki and Peter Schelkens",
year = "2019",
month = may,
day = "10",
doi = "10.1109/DCC.2019.00048",
language = "English",
series = "2019 DATA COMPRESSION CONFERENCE (DCC)",
publisher = "IEEE",
pages = "398--407",
editor = "Joan Serra-Sagrista and Ali Bilgin and Storer, \{James A.\} and Marcellin, \{Michael W.\}",
booktitle = "2019 Data Compression Conference (2019)",
edition = "2019",
note = "Data Compression Conference (DCC 2019) ; Conference date: 26-03-2019 Through 29-03-2019",
url = "https://www.cs.brandeis.edu/\textasciitilde{}dcc/Programs/Program2019.pdf",
}