Smoothing optimization of supporting quadratic surfaces with Zernike polynomials

Hang Zhang; Jiandong Lu; Rui Liu; Peifu Ma

doi:10.1117/12.2317455

5 March 2018 Smoothing optimization of supporting quadratic surfaces with Zernike polynomials

Hang Zhang, Jiandong Lu, Rui Liu, Peifu Ma

Proceedings Volume 10710, Young Scientists Forum 2017; 107102X (2018) https://doi.org/10.1117/12.2317455
Event: Young Scientists Forum 2017, 2017, Shanghai, China

Abstract

A new optimization method to get a smooth freeform optical surface from an initial surface generated by the supporting quadratic method (SQM) is proposed. To smooth the initial surface, a 9-vertex system from the neighbor quadratic surface and the Zernike polynomials are employed to establish a linear equation system. A local optimized surface to the 9-vertex system can be build by solving the equations. Finally, a continuous smooth optimization surface is constructed by stitching the above algorithm on the whole initial surface. The spot corresponding to the optimized surface is no longer discrete pixels but a continuous distribution.

Citation Download Citation

Hang Zhang, Jiandong Lu, Rui Liu, and Peifu Ma "Smoothing optimization of supporting quadratic surfaces with Zernike polynomials", Proc. SPIE 10710, Young Scientists Forum 2017, 107102X (5 March 2018); https://doi.org/10.1117/12.2317455

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