Algorithms for surface reconstruction from curvature data for freeform aspherics

Dae Wook Kim, Byoung Chang Kim, Chunyu Zhao, Chang Jin Oh, James H Burge

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)

Abstract

Increasing demand for highly accurate freeform aspheric surfaces requires accurate and efficient measurement techniques. One promising possibility uses a sub-aperture scanning system that measures local curvature variations across the part. In this paper, we develop and demonstrate two different data processing algorithms, a zonal approach using Southwell integration method and a modal approach leveraging Zernike curvature basis, that reconstruct the surface 3-dimensional profiles from the curvature data. The performance of suggested methods and the sensitivity to noise is diagnosed for various SNR (Signal-to-Noise Ratio) cases.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
Volume8838
DOIs
StatePublished - 2013
EventOptical Manufacturing and Testing X - San Diego, CA, United States
Duration: Aug 26 2013Aug 27 2013

Other

OtherOptical Manufacturing and Testing X
CountryUnited States
CitySan Diego, CA
Period8/26/138/27/13

Fingerprint

Surface Reconstruction
Surface reconstruction
Curvature
curvature
Aspheric Surface
Signal to noise ratio
Free-form Surface
Measurement Techniques
Scanning
signal to noise ratios
apertures
scanning
sensitivity
profiles
Demonstrate

Keywords

  • Aspheric metrology
  • Curvature sensing
  • Freeform aspherics
  • Optical testing

ASJC Scopus subject areas

  • Applied Mathematics
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Kim, D. W., Kim, B. C., Zhao, C., Oh, C. J., & Burge, J. H. (2013). Algorithms for surface reconstruction from curvature data for freeform aspherics. In Proceedings of SPIE - The International Society for Optical Engineering (Vol. 8838). [88380B] https://doi.org/10.1117/12.2024285

Algorithms for surface reconstruction from curvature data for freeform aspherics. / Kim, Dae Wook; Kim, Byoung Chang; Zhao, Chunyu; Oh, Chang Jin; Burge, James H.

Proceedings of SPIE - The International Society for Optical Engineering. Vol. 8838 2013. 88380B.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kim, DW, Kim, BC, Zhao, C, Oh, CJ & Burge, JH 2013, Algorithms for surface reconstruction from curvature data for freeform aspherics. in Proceedings of SPIE - The International Society for Optical Engineering. vol. 8838, 88380B, Optical Manufacturing and Testing X, San Diego, CA, United States, 8/26/13. https://doi.org/10.1117/12.2024285
Kim DW, Kim BC, Zhao C, Oh CJ, Burge JH. Algorithms for surface reconstruction from curvature data for freeform aspherics. In Proceedings of SPIE - The International Society for Optical Engineering. Vol. 8838. 2013. 88380B https://doi.org/10.1117/12.2024285
Kim, Dae Wook ; Kim, Byoung Chang ; Zhao, Chunyu ; Oh, Chang Jin ; Burge, James H. / Algorithms for surface reconstruction from curvature data for freeform aspherics. Proceedings of SPIE - The International Society for Optical Engineering. Vol. 8838 2013.
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