AffiliationUniv Arizona, Coll Opt Sci
Univ Arizona, Steward Observ
KeywordsSurface measurements, numerical approximation and analysis
Instrumentation, measurement, and metrology
MetadataShow full item record
PublisherKOREAN SOC PRECISION ENG
CitationAftab, M., Burge, J. H., Smith, G. A., Graves, L., Oh, C. J., & Kim, D. W. (2018). Modal data processing for high resolution deflectometry. International Journal of Precision Engineering and Manufacturing-Green Technology, 1-16.
Rights© Korean Society for Precision Engineering 2019.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at email@example.com.
AbstractIn this paper, we present a modal data processing methodology, for reconstructing high resolution surfaces from measured slope data, over rectangular apertures. One of the primary goals is the ability to effectively reconstruct deflectometry measurement data for high resolution and freeform surfaces, such as telescope mirrors. We start by developing a gradient polynomial basis set which can quickly generate a very high number of polynomial terms. This vector basis set, called the G polynomials set, is based on gradients of the Chebyshev polynomials of the first kind. The proposed polynomials represent vector fields that are defined as the gradients of scalar functions. This method yields reconstructions that fit the measured data more closely than those obtained using conventional methods, especially in the presence of defects in the mirror surface and physical blockers/markers such as fiducials used during deflectometry measurements. We demonstrate the strengths of our method using simulations and real metrology data from the Daniel K. Inouye Solar Telescope (DKIST) primary mirror.
Note12 month embargo; first Online: 26 February 2019
VersionFinal accepted manuscript
SponsorsKorea Basic Science Institute; II-VI Foundation Block grant