Results 81 to 90 of about 2,467 (209)

Generalized Zernike or disc polynomials: An application in quantum optics

, 2007
An application of the “generalized Zernike or disc polynomials”, recently introduced in the literature, is shown, resorting to the Lie algebra based investigation of the dynamics of quantum systems driven by two-mode interaction Hamiltonians.
Torre, A., A. Torre
core   +1 more source

Zernike Polynomials and Optical Aberration

, 2016
The Zernike polynomials are commonly used in the analysis of adaptive optics systems. Annular Zernikes are particularly useful for analyzing the aberrations of telescopes with annular pupils (e.g., Cassegrain telescopes).
Bryant, Jeff, Pavlyk, Oleksandr
core   +1 more source

PSF Estimation of Space-Variant Ultra-Wide Field of View Imaging Systems

Applied Sciences, 2017
Ultra-wide-field of view (UWFOV) imaging systems are affected by various aberrations, most of which are highly angle-dependent. A description of UWFOV imaging systems, such as microscopy optics, security camera systems and other special space-variant ...
Petr Janout, Petr Páta, Petr Skala, Jan Bednář   +3 more
doaj   +1 more source

A new operational matrix method to solve nonlinear fractional differential equations

Nonlinear Engineering
This study aims to propose novel Zernike wavelets and a new method based on the operational matrices for solving nonlinear fractional differential equations. First, non-orthogonal Zernike wavelets are introduced using the Zernike polynomials. Then, a new
Hedayati Maryamsadat, Ezzati Reza
doaj   +1 more source

Orthogonality and convergence of discrete Zernike polynomials

, 2011
The Zernike polynomials are an infinite set of orthogonal polynomials over the unit disk, which are rotationally invariant. They are frequently utilized in optics, opthal- mology, and image recognition, among many other applications, to describe ...
Allen, Joseph
core  

Quantifying the morphology of eyeballs with posterior staphyloma with Zernike polynomials. [PDF]

Front Bioeng Biotechnol, 2023
Rong H, Liu L, Liu Y, Fu W, Xu H, Yu D, Wu D, Du B, Zhang X, Zhang B, Wei R.   +10 more
europepmc   +1 more source

Orthogonality and convergence of discrete Zernike polynomials

, 2010
The Zernike polynomials are an infinite set of orthogonal polynomials over the unit disk, which are rotationally invariant. They are frequently utilized in optics, opthal- mology, and image recognition, among many other applications, to describe ...
Allen, Joseph
core  

ENZ-Based High Fidelity Complex-Field Reconstruction

IEEE Photonics Journal
The Extended Nijboer-Zernike (ENZ) theory, an analytical solution based on Zernike polynomials within Fourier integration, offers unique advantages in characterizing imaging spaces.
Wencan Wei, Fuda Jiang, Chonglei Zhang
doaj   +1 more source

Accuracy of Zernike Polynomials in Characterizing Optical Aberrations and the Corneal Surface of the Eye [PDF]

, 2020
PURPOSE. Zernike polynomials have been successfully used for approximately 70 years in many different fields of optics. Nevertheless, there are some recent discussions regarding the precision and accuracy of these polynomials when applied to surfaces ...
Carvalho, Alberto Luis
core  

Topology Optimization Design of an Active Deformable Mirror Based on Discrete Orthogonal Zernike Polynomials

, 2022
In order to design an active deformation mirror for projection objective aberration imaging quality control, a topology optimization design method of active deformation mirrors based on discrete orthogonal Zernike polynomials is proposed in this paper ...
Zhuanzhe Zhao, Yujian Rui, Manman Xu, Yang Zhou, Yongming Liu   +4 more
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