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Smoothing optimization of supporting quadratic surfaces with Zernike polynomials
Author(s): Hang Zhang; Jiandong Lu; Rui Liu; Peifu Ma
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Paper 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.

Paper Details

Date Published: 5 March 2018
PDF: 5 pages
Proc. SPIE 10710, Young Scientists Forum 2017, 107102X (5 March 2018); doi: 10.1117/12.2317455
Show Author Affiliations
Hang Zhang, Zhejiang Univ. of Technology (China)
Jiandong Lu, Zhejiang Univ. of Technology (China)
Rui Liu, Zhejiang Univ. of Technology (China)
Peifu Ma, Zhejiang Univ. of Technology (China)


Published in SPIE Proceedings Vol. 10710:
Young Scientists Forum 2017
Songlin Zhuang; Junhao Chu; Jian-Wei Pan, Editor(s)

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