Results 11 to 20 of about 6,949 (194)
Zernike polynomials and their applications
Journal of Optics, 2022 Abstract The Zernike polynomials are a complete set of continuous functions orthogonal over a unit circle. Since first developed by Zernike in 1934, they have been in widespread use in many fields ranging from optics, vision sciences, to image processing.
Kuo Niu, Chao Tian
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Stable Evaluation of 3D Zernike Moments for Surface Meshes
Algorithms, 2022 The 3D Zernike polynomials form an orthonormal basis of the unit ball. The associated 3D Zernike moments have been successfully applied for 3D shape recognition; they are popular in structural biology for comparing protein structures and properties. Many
Jérôme Houdayer, Patrice Koehl
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Accuracy and reliability of orthogonal polynomials in representing corneal topography
Medicine in Novel Technology and Devices, 2022 Fitting of corneal topography data to analytical surfaces has been necessary in many clinical and experimental applications, yet absolute superiority of fitting methods was still unclear, and their overfitting risks were not well studied.
Junjie Wang +9 more
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Simultaneous quantification of longitudinal and transverse ocular chromatic aberrations with Hartmann–Shack wavefront sensor [PDF]
Journal of Innovative Optical Health Sciences, 2018 A simple method to objectively and simultaneously measure eye’s longitudinal and transverse chromatic aberrations was proposed. A dual-wavelength wavefront measurement system using two Hartmann–Shack wavefront sensors was developed. The wavefronts of the
Yangchun Deng +3 more
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Zernike functions, rigged Hilbert spaces, and potential applications [PDF]
, 2019 Producción CientíficaWe revise the symmetries of the Zernike polynomials that determine the Lie algebra su(1, 1) ⊕ su(1, 1). We show how they induce discrete as well as continuous bases that coexist in the framework of rigged Hilbert spaces.
Celeghini, Enrico +2 more
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Reconstruction of wavefront distorted by atmospheric turbulence using a Shack-Hartman sensor [PDF]
Компьютерная оптика, 2019 The reconstruction of a wave front containing random phase distortions of the light field is considered. The reconstruction is performed by a Hartmann method based on the approximation of the wave function by Zernike polynomials using estimates of local ...
Vitaly Lavrinov, Lidiya Lavrinova
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Classes of Bivariate Orthogonal Polynomials [PDF]
, 2016 We introduce a class of orthogonal polynomials in two variables which generalizes the disc polynomials and the 2-$D$ Hermite polynomials. We identify certain interesting members of this class including a one variable generalization of the 2-$D$ Hermite ...
Ismail, Mourad E. H., Zhang, Ruiming
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Zernike integrated partial phase error reduction algorithm
Results in Optics, 2021 A modification to the error reduction algorithm is reported in this paper for determining the prescription of an imaging system in terms of Zernike polynomials.
Stephen C. Cain
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Revisiting PSF models: Unifying framework and high-performance implementation. [PDF]
J MicroscAbstract Localisation microscopy often relies on detailed models of point‐spread functions. For applications such as deconvolution or PSF engineering, accurate models for light propagation in imaging systems with a high numerical aperture are required. Different models have been proposed based on 2D Fourier transforms or 1D Bessel integrals.
Liu Y +7 more
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Higher order Laguerre-Gauss mode degeneracy in realistic, high finesse cavities [PDF]
, 2011 Higher order Laguerre-Gauss (LG) beams have been proposed for use in future gravitational wave detectors, such as upgrades to the Advanced LIGO detectors and the Einstein Telescope, for their potential to reduce the effects of the thermal noise of the ...
A. Freise +9 more
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