Framework for freeform complex surface reconstruction by combining Zernike polynomials with radial basis function method

Jingfei Ye; Zhishan Gao; Wei Wang

doi:10.1117/12.2068532

18 September 2014 Framework for freeform complex surface reconstruction by combining Zernike polynomials with radial basis function method

Jingfei Ye, Zhishan Gao, Wei Wang

Author Affiliations +

Proceedings Volume 9282, 7th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment; 92820L (2014) https://doi.org/10.1117/12.2068532
Event: 7th International Symposium on Advanced Optical Manufacturing and Testing Technologies (AOMATT 2014), 2014, Harbin, China

Abstract

Freeform complex surfaces with steep variations in local areas cannot be fitted by analytical functions with high accuracy in the whole aperture in optics. A framework with a combination of Zernike polynomials as base function with radial basis function method is presented to improve reconstruction accuracy for freeform complex surfaces with circular aperture. The algorithm of the framework is analyzed, and the performance of the method is investigated and verified by numerical experiments. The proposed method is accurate and highly adaptable, which could be applied in modern optical manufacturing and measurement.

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Jingfei Ye, Zhishan Gao, and Wei Wang "Framework for freeform complex surface reconstruction by combining Zernike polynomials with radial basis function method", Proc. SPIE 9282, 7th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment, 92820L (18 September 2014); https://doi.org/10.1117/12.2068532

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