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7 September 2013 Algorithms for surface reconstruction from curvature data for freeform aspherics
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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.
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Dae Wook Kim, ByoungChang Kim, Chunyu Zhao, ChangJin Oh, and James H. Burge "Algorithms for surface reconstruction from curvature data for freeform aspherics", Proc. SPIE 8838, Optical Manufacturing and Testing X, 88380B (7 September 2013);

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