ortho-poly

This project provides both the MATLAB and C++ implementaitons of the orthorgonal polynomials, including

• Legendre polynomials
• Zernike polynomials
• Chebyshev polynomials (with certain orthogonal compensation)

Examples

Legendre polynomial fitting

Zernike polynomial fitting

Collaborators

Tianyi Wang

References

[1] Virendra N. Mahajan, "Orthonormal aberration polynomials for anamorphic optical imaging systems with rectangular pupils," Appl. Opt. 49, 6924-6929 (2010)

[2] Liu, F., Robinson, B. M., Reardon, P., & Geary, J. M. (2011). Analyzing optics test data on rectangular apertures using 2-D Chebyshev polynomials. Optical Engineering, 50(4), 043609.

[3] Junzheng Peng, Yingjie Yu, and Haifeng Xu, "Compensation of high-order misalignment aberrations in cylindrical interferometry," Appl. Opt. 53, 4947-4956 (2014)