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Optical tolerancing of structured mid-spatial frequency errors on free-form surfaces using anisotropic radial basis functions

We investigate use of the anisotropic radial basis functions expansion as a means to represent aspheric and freeform surfaces. We apply this method to represent surface perturbations for the purpose of optical tolerancing. In our approach both global and localized surface errors can be modeled across wide spatial frequency range. With our method impact of structured surface errors on arbitrary surfaces and applied on standardized image quality metrics can be assessed for the purpose of optical tolerancing.