Fitting freeform shapes with orthogonal bases

被引：42

作者：

Forbes, G. W. ^{[1
]}

机构：

[1] QED Technol Inc, Rochester, NY 14607 USA

来源：

OPTICS EXPRESS | 2013年 / 21卷 / 16期

关键词：

ROBUST;

D O I：

10.1364/OE.21.019061

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Orthogonality is exploited for fitting analytically-specified freeform shapes in terms of orthogonal polynomials. The end result is expressed in terms of FFTs coupled to a simple explicit form of Gaussian quadrature. Its efficiency opens the possibilities for proceeding to arbitrary numbers of polynomial terms. This is shown to create promising options for quantifying and filtering the mid-spatial frequency structure within circular domains from measurements of as-built parts. (c) 2013 Optical Society of America

引用

页码：19061 / 19081

页数：21

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