C. du Jeu, “Criterion to appreciate difficulties of aspherical polishing,” Proc. SPIE 5494, 113–121 (2004), doi:10.1117/12.551420.
[Crossref]
F. J. Smith, “An Algorithm for Summing Orthogonal Polynomial Series and their Derivatives with Applications to Curve-Fitting and Interpolation,” Math. Comput. 19, 33–36 (1965).
[Crossref]
C. W. Clenshaw, “A Note on the Summation of Chebyshev Series,” Math. Tables Other Aids Comput. 9, 118–120 (1955), http://www.jstor.org/stable/2002068.
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1978), Chap. 22.
G. W. Forbes and C. P. Brophy, “Designing cost-effective systems that incorporate high-precision aspheric optics”, SPIE Optifab (2009) TD06–25 (1). Available at http://www.qedmrf.com.
C. W. Clenshaw, “A Note on the Summation of Chebyshev Series,” Math. Tables Other Aids Comput. 9, 118–120 (1955), http://www.jstor.org/stable/2002068.
W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes: The Art of Scientific Computing (Cambridge University Press, 1992) Section 2.9.
G. W. Forbes, “Robust and fast computation for the polynomials of optics,” Opt. Express 18, 13851–13862, (2010) http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-13-13851.
[Crossref]
[PubMed]
G. W. Forbes, “Shape specification for axially symmetric optical surfaces,” Opt. Express 15, 5218–5226, (2007) http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-8-5218.
[Crossref]
[PubMed]
G. W. Forbes, “Can you make/measure this asphere for me?”, Frontiers in Optics, OSA Technical Digest (2009), http://www.opticsinfobase.org/abstract.cfm?URI=FiO-2009-FThH1.
G. W. Forbes and C. P. Brophy, “Designing cost-effective systems that incorporate high-precision aspheric optics”, SPIE Optifab (2009) TD06–25 (1). Available at http://www.qedmrf.com.
C. du Jeu, “Criterion to appreciate difficulties of aspherical polishing,” Proc. SPIE 5494, 113–121 (2004), doi:10.1117/12.551420.
[Crossref]
W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes: The Art of Scientific Computing (Cambridge University Press, 1992) Section 2.9.
F. J. Smith, “An Algorithm for Summing Orthogonal Polynomial Series and their Derivatives with Applications to Curve-Fitting and Interpolation,” Math. Comput. 19, 33–36 (1965).
[Crossref]
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1978), Chap. 22.
W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes: The Art of Scientific Computing (Cambridge University Press, 1992) Section 2.9.
W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes: The Art of Scientific Computing (Cambridge University Press, 1992) Section 2.9.
E. W. Weisstein, “Jacobi Polynomial” from MathWorld—A Wolfram Web Resource. http://mathworld.wolfram.com/JacobiPolynomial.html, see esp. Equations (10–14).
F. J. Smith, “An Algorithm for Summing Orthogonal Polynomial Series and their Derivatives with Applications to Curve-Fitting and Interpolation,” Math. Comput. 19, 33–36 (1965).
[Crossref]
C. W. Clenshaw, “A Note on the Summation of Chebyshev Series,” Math. Tables Other Aids Comput. 9, 118–120 (1955), http://www.jstor.org/stable/2002068.
C. du Jeu, “Criterion to appreciate difficulties of aspherical polishing,” Proc. SPIE 5494, 113–121 (2004), doi:10.1117/12.551420.
[Crossref]
E. W. Weisstein, “Jacobi Polynomial” from MathWorld—A Wolfram Web Resource. http://mathworld.wolfram.com/JacobiPolynomial.html, see esp. Equations (10–14).
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1978), Chap. 22.
W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes: The Art of Scientific Computing (Cambridge University Press, 1992) Section 2.9.
A useful overview is given at http://en.wikipedia.org/wiki/Discrete_cosine_transform.
G. W. Forbes, “Can you make/measure this asphere for me?”, Frontiers in Optics, OSA Technical Digest (2009), http://www.opticsinfobase.org/abstract.cfm?URI=FiO-2009-FThH1.
G. W. Forbes and C. P. Brophy, “Designing cost-effective systems that incorporate high-precision aspheric optics”, SPIE Optifab (2009) TD06–25 (1). Available at http://www.qedmrf.com.