Results 1 to 10 of about 1,423 (141)
Limitations of Reconstructing Pentacam Rabbit Corneal Tomography by Zernike Polynomials [PDF]
Bioengineering, 2022 The study aims to investigate the likelihood of Zernike polynomial being used for reconstructing rabbit corneal surfaces as scanned by the Pentacam segment tomographer, and hence evaluate the accuracy of corneal power maps calculated from such Zernike ...
Mohamed Baraya +7 more
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Performance of Zernike polynomials in reconstructing raw-elevation data captured by Pentacam HR, Medmont E300 and Eye Surface Profiler [PDF]
Heliyon, 2021 Purpose: To investigate the capability of Zernike polynomials fitting to reconstruct corneal surfaces as measured by Pentacam HR tomographer, Medmont E300 Placido-disc and Eye Surface Profiler (ESP).
Yueying Wei +6 more
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Average gradient of Zernike polynomials over polygons. [PDF]
Opt Express, 2020 Wavefront estimation from slope sensor data is often achieved by fitting measured slopes with Zernike polynomial derivatives averaged over the sampling subapertures. Here we discuss how the calculation of these average derivatives can be reduced to one-dimensional integrals of the Zernike polynomials, rather than their derivatives, along the perimeter ...
Akondi V, Dubra A.
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Zernike basis to cartesian transformations [PDF]
Serbian Astronomical Journal, 2009 The radial polynomials of the 2D (circular) and 3D (spherical) Zernike functions are tabulated as powers of the radial distance. The reciprocal tabulation of powers of the radial distance in series of radial polynomials is also given, based on ...
Mathar R.J.
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Evaluation of optimal Zernike radial degree for representing corneal surfaces.
PLoS ONE, 2022 Tomography data of the cornea usually contain useful information for ophthalmologists. Zernike polynomials are often used to characterize and interpret these data.
Pooria Omidi +2 more
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Applied Sciences, 2021 The results of a study of the wavefront distortions of laser radiation caused by artificial turbulence obtained in laboratory conditions using a fan heater are presented.
Alexey Rukosuev +5 more
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New analytic results for the Zernike circle polynomials from a basic result in the Nijboer-Zernike diffraction theory [PDF]
Journal of the European Optical Society-Rapid Publications, 2011 Several quantities related to the Zernike circle polynomials admit an expression, via the basic identity in the diffraction theory of Nijboer and Zernike, as an infinite integral involving the product of two or three Bessel functions. In this paper these
Janssen A. J. E. M.
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Vector functions for direct analysis of annular wavefront slope data
Results in Optics, 2022 In the aberration analysis of a wavefront over a certain domain, the polynomials that are orthogonal over and represent balanced aberrations for this domain are used.
Virendra N. Mahajan, Eva Acosta
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Photonics, 2022 This article addresses two issues. Firstly, it was shown that if the initial phase of a Gaussian beam is specified by the sum of Zernike polynomials or by a screen simulating atmospheric turbulence, in the process of propagation, singular points appear ...
Feodor Kanev +2 more
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Computing Zernike polynomials of arbitrary degree using the discrete Fourier transform [PDF]
Journal of the European Optical Society-Rapid Publications, 2007 The conventional representation of Zernike polynomials Rmn(ρ) gives unacceptable numerical results for large values of the degree n. We present an algorithm for the computation of Zernike polynomials of arbitrary degree n. The algorithm has the form of a
Janssen Augustus J. E. M., Dirksen Peter
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