Use of Fresnelets for Phase-Shifting Digital Hologram Compression

Author

Darakis, Emmanouil ; Soraghan, John J.

Author_Institution

Dept. of Electron. & Electr. Eng., Univ. of Strathclyde, Glasgow

Volume

15

Issue

12

fYear

2006

Firstpage

3804

Lastpage

3811

Abstract

Fresnelets are wavelet-like base functions specially tailored for digital holography applications. We introduce their use in phase-shifting interferometry (PSI) digital holography for the compression of such holographic data. Two compression methods are investigated. One uses uniform quantization of the Fresnelet coefficients followed by lossless coding, and the other uses set portioning in hierarchical trees (SPIHT) coding. Quantization and lossless coding of the original data is used to compare the performance of the proposed algorithms. The comparison reveals that the Fresnelet transform of phase-shifting holograms in combination with SPIHT or uniform quantization can be used very effectively for the compression of holographic data. The performance of the new compression schemes is demonstrated on real PSI digital holographic data

Keywords

data compression; holographic interferometry; image coding; phase shifting interferometry; trees (mathematics); wavelet transforms; PSI; SPIHT coding; digital hologram compression; fresnelets; phase-shifting interferometry; set portioning-in-hierarchical trees; uniform quantization; wavelet-like base functions; Charge coupled devices; Digital recording; Holography; Image coding; Image reconstruction; Memory; Performance loss; Phase shifting interferometry; Quantization; Wavelet transforms; Fresnelets; image coding; phase-shifting interferometry (PSI) digital holography; wavelet transform;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/TIP.2006.884918

Filename

4011953