Results 11 to 20 of about 1,511 (175)

Stable Evaluation of 3D Zernike Moments for Surface Meshes

open access: yesAlgorithms, 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
doaj   +1 more source

Accuracy and reliability of orthogonal polynomials in representing corneal topography

open access: yesMedicine 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
doaj   +1 more source

Simultaneous quantification of longitudinal and transverse ocular chromatic aberrations with Hartmann–Shack wavefront sensor [PDF]

open access: yesJournal 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
doaj   +1 more source

Zernike polynomials and their applications

open access: yesJournal 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
openaire   +1 more source

Reconstruction of wavefront distorted by atmospheric turbulence using a Shack-Hartman sensor [PDF]

open access: yesКомпьютерная 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
doaj   +1 more source

Zernike integrated partial phase error reduction algorithm

open access: yesResults 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
doaj   +1 more source

Wavefront Aberration Sensor Based on a Multichannel Diffractive Optical Element

open access: yesSensors, 2020
We propose a new type of a wavefront aberration sensor, that is, a Zernike matched multichannel diffractive optical filter, which performs consistent filtering of phase distributions corresponding to Zernike polynomials. The sensitivity of the new sensor
Svetlana N. Khonina   +2 more
doaj   +1 more source

A Review on Zernike Coefficient-Solving Algorithms (CSAs) Used for Integrated Optomechanical Analysis (IOA)

open access: yesPhotonics, 2023
An integrated optomechanical analysis (IOA) can predict the response of an optomechanical system to temperature, gravity, vibrations, and other local loadings; thus, the normal operation of instruments under special conditions is guaranteed.
Motong Hu   +3 more
doaj   +1 more source

Zernike by ONE Pascal triangle [PDF]

open access: yesEPJ Web of Conferences
This work discovers two hidden cases of blockwise recurrence in Zernike computations. Based on these findings, a new computation scheme for Zernike polynomials is proposed.
Chen Wei–Jun
doaj   +1 more source

Fringe Pattern Denoising using U-Net based neural network [PDF]

open access: yesEPJ Web of Conferences, 2020
Fringe visibility and noise removal, are key success factors in interferometric techniques, where novel deep learning techniques can be applied. We test the use U-Net deep convolutional network applied to the obtained interference images, trained with an
Crespo J. M.   +4 more
doaj   +1 more source

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