Comparison of interpolation and approximation methods for optical freeform synthesis

Anna Voznesenskaya; Pavel Krizskiy

doi:10.1117/12.2270314

26 June 2017 Comparison of interpolation and approximation methods for optical freeform synthesis

Anna Voznesenskaya, Pavel Krizskiy

Proceedings Volume 10330, Modeling Aspects in Optical Metrology VI; 103301P (2017) https://doi.org/10.1117/12.2270314
Event: SPIE Optical Metrology, 2017, Munich, Germany

Abstract

Interpolation and approximation methods for freeform surface synthesis are analyzed using the developed software tool. Special computer tool is developed and results of freeform surface modeling with piecewise linear interpolation, piecewise quadratic interpolation, cubic spline interpolation, Lagrange polynomial interpolation are considered. The most accurate interpolation method is recommended. Surface profiles are approximated with the square least method. The freeform systems are generated in optical design software.

Citation Download Citation

Anna Voznesenskaya and Pavel Krizskiy "Comparison of interpolation and approximation methods for optical freeform synthesis", Proc. SPIE 10330, Modeling Aspects in Optical Metrology VI, 103301P (26 June 2017); https://doi.org/10.1117/12.2270314

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