2D-Zernike polynomials and coherent state quantization of the unit disc
Using the orthonormality of the 2D-Zernike polynomials reproducing kernels, reproducing kernel Hilbert spaces and ensuing coherent states are attained. With the aid of the so obtained coherent states the complex unit disc is quantized.
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Transformation matrix for Zernike coefficients between different pupils
, 2018 It’s a Matlab file that return symbolic transformation matrixes of the 36 terms Standard Zernike polynomials and 37 terms Fringe Zernike ...
Lei Li (5559662)
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, 2022 We describe numerical simulations to demonstrate the use of curvature polynomials introduced by Mahajan and Acosta in their paper “Zernike coefficients from wavefront curvature data” for determining the Zernike coefficients from wavefront curvature data.
Guruprasad, Divya
core
On simulation and verification of the atmospheric turbulent phase screen with Zernike polynomials
, 2015 Atmospheric turbulence is one of the main factors that influence the spread of laser communication in the atmosphere affect, which will change the random distribution of the refractive index of air, and affect the image quality of the beam through the ...
Liming Dai +7 more
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orthogonal functions and Zernike polynomials---a random variable interpretation
, 2009 There are advantages in viewing orthogonal functions as functions generated by a random variable from a basis set of functions. Let Y be a random variable distributed uniformly on [0,1].
Withers, C S
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Investigating the potential of Zernike polynomials to characterise spatial distribution of macular pigment. [PDF]
PLoS One, 2019 Allen P +3 more
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Characteristic of entire corneal topography and tomography for the detection of sub-clinical keratoconus with Zernike polynomials using Pentacam. [PDF]
Sci Rep, 2017 Xu Z +9 more
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Identification of Zernike-Polynomial Systematic Pattern with Spatial Variation Spectrum
, 2010 Zernike多項式常於生醫及半導體製造用於描述所觀察到的圓狀表面的系統變異並建立模型。但是因為Zernike多項式包含無數個多項式，故建模時會遭遇多項式選擇的問題。統的Zernike多項式建模選擇方式僅是依照Zernike多項式的順序選擇，並不考慮Zernike多項式與所觀察的圓面間的關係，或採用bootstrap方法，須花費大量時間在計算及模擬所有可能的模型上以期找到最適合的模型。解決上述兩種方法的缺失，本研究提出考慮到圓面及Zernike多項式之關係的多項式選擇方法，目的是分析圓面的系統變異 ...
薛翰, Hsueh, Han
core
Variational calculus approach to Zernike polynomials with application to FCS. [PDF]
Biophys JGligonov I, Enderlein J.
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Using Diffraction Deep Neural Networks for Indirect Phase Recovery Based on Zernike Polynomials. [PDF]
Sensors (Basel)Yuan F +5 more
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