Paper
10 December 1993 Laser interferometry-based characterization of surfaces by data-dependent systems
Sudhakar M. Pandit, Nicholas Jordache, Ghanashyam A. Joshi
Author Affiliations +
Abstract
In the process of surface recovery using interferometric methods, a mixture of artifacts, noise, and errors affect the phase map stage of the process. Based on a methodology called data dependent systems (DDS), a stochastic approach is developed which discerns the phase signal from noisy data points and uses it to reconstruct a clean phase map. Such a phase map is then easily converted to a height distribution. Stepwise, the procedure first identifies the presence of discontinuities, then applies an adaptive thresholding criteria to return an outlier free set of residuals, and finally uses them to reconstruct a clean phase map. The methodology is robust and can handle very complex phase maps. It reduces reliance on complicated and expensive experimental setups and replaces them with relatively inexpensive but reliable computation. Phase unwrapping is shown to be accomplished in a natural way, but the method also provides other benefits such as diagnostic identification of surface defects and other trouble spots.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Sudhakar M. Pandit, Nicholas Jordache, and Ghanashyam A. Joshi "Laser interferometry-based characterization of surfaces by data-dependent systems", Proc. SPIE 2003, Interferometry VI: Techniques and Analysis, (10 December 1993); https://doi.org/10.1117/12.165451
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KEYWORDS
Interferometry

Data modeling

Stochastic processes

Sensors

Autoregressive models

Error analysis

Phase measurement

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