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B-Spline Based Wavefront Reconstruction for Lateral Shearing Interferometric Measurement of Engineering Surfaces

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Periodical:

Key Engineering Materials (Volumes 238-239)

Pages:

169-174

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.238-239.169

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Online since:

April 2003

Authors:

X. Liu, Y. Gao

Keywords:

B-Spline, Shearing Interferometry, Wavefront Reconstruction

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© 2003 Trans Tech Publications Ltd. All Rights Reserved

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References

[1] M. V. Mantravadi: Lateral shearing Interferometers, Optical Shop Testing, 2 nd ed., Daniel Malacara, John Wiley and Sons, 1992.

Google Scholar

[2] S. Okuda, T. Nomura, K. Kamiya and H. Miyashiro: High-precision analysis of a lateral shearing interferogram by using the integration method and polynomials, App. Opt., Vol. 39 (2000).

DOI: 10.1364/ao.39.005179

Google Scholar

[3] X. Tian, L. Masahide and Toyohiko Yatagai: Simple algorithm for large-grid phase reconstruction of lateral-shearing interferometry, Applied Optics, Vol. 34 (1995).

DOI: 10.1364/ao.34.007213

Google Scholar

[4] B. R. Hunt: Matrix formation of the reconstruction of phase from phase differences, J. Opt. Soc. Am., Vol. 69 (1979), No. 3.

Google Scholar

[5] D. L. Fried: Least-square fitting a wave-front distortion estimate to an array of phasedifference measurements, J. Opt. Soc. Am., Vol. 67 (1977), pp.370-375.

DOI: 10.1364/josa.67.000370

Google Scholar

[6] D. C. Ghiglia and L. A. Romero: Direct phase estimation from phase differences using elliptic partial differential equation solvers, Opt. Lett., Vol. 14 (1989), pp.1107-1109.

DOI: 10.1364/ol.14.001107

Google Scholar

[7] H. Takajo: Least-square phase estimation from the phase difference, J. Opt. Soc. Am., Vol. 5 (1988), No. 3.

Google Scholar

[8] N. H. Davis and T. A. Fritz: Application of zernike polynomials to reduction of wave-front slope data, pp.39-42, Optical Science Center, University of Arizona, 1977.

Google Scholar

[9] Wei Shen, Ming Wen Chang and Der Shen Wan: Zernike polynomial fitting of lateral shearing interferometry, Opt. Eng., Vol. 36 (1997), No. 3.

DOI: 10.1117/1.601600

Google Scholar

[10] G. Harbers, P. J. Kunst and G. W. R. Leibbrandt: Analysis of lateral shearing interferograms by use of zernike polynomials, Applied Optics, Vol. 35 (1996), pp.6162-6172.

DOI: 10.1364/ao.35.006162

Google Scholar

[11] H. Von Brug: Zernike polynomials as a basis for wavefront fitting in lateral shearing interferometry, App. Opt., Vol. 36 (1997), pp.2788-2790.

DOI: 10.1364/ao.36.002788

Google Scholar

[12] P. Dierckx: Curve and surface fitting with splines, Oxford science publications, 1993.

Google Scholar

[13] K. W. Lee: Principles of CAD/CAM/CAE systems, Addison Wesley Longman, 1999.

Google Scholar

[14] Y. S. Chun: The least squares approximation of fixed-form and free form B-spline surfaces and a smoothing technique using reflection, Degree dissertation, 1991.

Google Scholar