Techniques for Down-Sampling a Measured Surface Height Map for Model Validation
- Created on Wednesday, 01 February 2012
This software allows one to down-sample a measured surface map for model validation, not only without introducing any re-sampling errors, but also eliminating the existing measurement noise and measurement errors.
At present, the surface map of an optic is
measured using an interferometric instrument
such as a Zygo interferometer. In
such a case, the measured surface map has
a high resolution and needs to be down-sampled
before using it in model validation
software. The software tool of the current
two new techniques can be used in all
optical model validation processes involving
large space optical surfaces.
Down-sampling of a surface map is accomplished by using the analytical expressions of Zernike-polynomials of the given surface map for a low-spatial frequency component and the spectrum or the power spectral density (PSD) data of the given surface map for mid-spatial frequency component. The challenge is to decrease the matrix size of a measured optical surface height map to match it with a model validation software tool.
During the down-sampling of a surface map, this software tool preserves the lowspatial frequency characteristic of a given surface map through the use of Zernike polynomial fit coefficients, and maintains mid-spatial frequency characteristics of the given surface map by the use of the spectrum or the PSD data of the given surface map calculated from the mid- and the high-spatial frequency components of the original surface map.
These new methods do not introduce any aliasing and interpolation errors as is done by the conventional interpolation and FFT-based spatial-filtering method. Also, they automatically eliminate the measurement noise and other measurement errors such as artificial discontinuity.
This work was done by Erkin Sidick of Caltech for NASA’s Jet Propulsion Laboratory.
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Techniques for Down-Sampling a Measured Surface Height Map for Model Validation (reference NPO-47711) is currently available for download from the TSP library.
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