Fourier-transform method of data compression and temporal fringe pattern analysis

Journal Article · Sun Nov 20 04:00:00 EST 2005 · Applied Optics

DOI:https://doi.org/10.1364/AO.44.007043· OSTI ID:20702665

Ng, Tuck Wah; Ang, Kar Tien

Temporal fringe pattern analysis is invaluable in studies of transient phenomena but necessitates large data storage for two essential sets of data, i.e., fringe pattern intensity and deformation phase. We describe a compression scheme based on the Fourier-transform method for temporal fringe data storage that permits retrieval of both the intensity and the deformation phase. When the scheme was used with simulated temporal wavefront interferometry intensity fringe patterns, a high compression ratio of 10.77 was achieved, with a significant useful data ratio of 0.859. The average root-mean-square error in phase value restored was a low 0.0015 rad. With simulated temporal speckle interferometry intensity fringe patterns, the important paremeters varied with the modulation cutoff value applied. For a zero modulation cutoff value, the ratio of data points and the compression ratio values obtained were roughly the same as in wavelength interferometry, albeit the average root-mean-square error in the phase value restored was far higher. By increasing the modulation cutoff value we attained significant reduction and increase in the ratio of data points and the compression ratio, respectively, whereas the average root-mean-square error in the restored phase values was reduced only slightly.

• OSTI ID: 20702665
• Journal Information: Applied Optics, Journal Name: Applied Optics Journal Issue: 33 Vol. 44; ISSN 0003-6935; ISSN APOPAI
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMPRESSION RATIO
DEFORMATION
ERRORS
FOURIER ANALYSIS
FOURIER TRANSFORMATION
IMAGE PROCESSING
INTERFEROMETRY
MODULATION
VISIBLE RADIATION
WAVELENGTHS