26 June 2017 Comparison of interpolation and approximation methods for optical freeform synthesis
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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.
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Anna Voznesenskaya, Anna Voznesenskaya, Pavel Krizskiy, 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); doi: 10.1117/12.2270314; https://doi.org/10.1117/12.2270314
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