Results 31 to 40 of about 2,467 (209)

Orthonormal vector general polynomials derived from the Cartesian gradient of the orthonormal Zernike-based polynomials [PDF]

open access: yes, 2018
The concept of orthonormal vector circle polynomials is revisited by deriving a set from the Cartesian gradient of Zernike polynomials in a unit circle using a matrix-based approach.
Cosmas Mafusire   +3 more
core   +1 more source

Wavefront feature extraction for SAR target recognition

open access: yesThe Journal of Engineering, 2019
Synthetic aperture radar (SAR) target feature extraction is a key technology for SAR target recognition. The existing SAR feature extraction methods mainly focus on amplitude information of the SAR image in spite of phase information. This study proposes
Jiping Wang   +3 more
doaj   +1 more source

Validation of Mahajan's formula for scaling ocular higher-order aberrations by pupil size

open access: yesIndian Journal of Ophthalmology, 2020
Purpose: Zernike polynomials for describing ocular higher order aberrations are affected by pupil aperture. The current study aimed to validate Mahajan's formula for scaling Zernike polynomials by pupil size.
Henry B Wallace   +2 more
doaj   +1 more source

Some properties of the fractional circle Zernike polynomials [PDF]

open access: yes, 2017
In this paper, we present a fractional extension of the classical circle Zernike polynomials defined via g-Jacobi functions. Some properties of this new class of functions are studied, such as recurrence relations for consecutive and distant ...
Rodrigues, Maria Manuela Fernandes   +3 more
core   +1 more source

The Effect of Spatial Mode Distribution on Coupling Efficiency of Single-Mode Fiber: Theoretical Analysis and Experimental Verification

open access: yesApplied Sciences, 2019
In this study, Zernike polynomials and optical fiber field theory are applied to build a mathematical model of coupling efficiency (CE) and spatial mode of aberrations.
Yongkai Liu   +6 more
doaj   +1 more source

Sage Revised Reiterative Even Zernike Polynomials Neural Network Control with Modified Fish School Search Applied in SSCCRIM Impelled System

open access: yesMathematics, 2020
In light of fine learning ability in the existing uncertainties, a sage revised reiterative even Zernike polynomials neural network (SRREZPNN) control with modified fish school search (MFSS) method is proposed to control the six-phase squirrel cage ...
Chih-Hong Lin
doaj   +1 more source

Advanced analytic treatment and efficient computation of the diffraction integrals in the extended Nijboer-Zernike theory [PDF]

open access: yesJournal of the European Optical Society-Rapid Publications, 2013
The computational methods for the diffraction integrals that occur in the Extended Nijboer-Zernike (ENZ-) approach to circular, aberrated, defocused optical systems are reviewed and updated.
van Haver S., Janssen A. J. E. M.
doaj   +1 more source

2-D generating function of the zernike polynomials and their application for image classification [PDF]

open access: yes, 2019
This work proposes a new approach to find the generating function (GF) of the Zernike polynomials in two dimensional form. Combining the methods of GFs and discrete-time systems, we can develop two dimensional digital systems for systematic generation of
Barmak Honarvar Shakibaei Asli   +5 more
core   +1 more source

Appropriate radial degree of fitted Zernike polynomials for normal subjects.

open access: yes, 2022
Appropriate radial degree of fitted Zernike polynomials for normal subjects.
Alan Cayless (10178644)   +2 more
core   +1 more source

Appropriate radial degree of fitted Zernike polynomials for keratoconus subjects.

open access: yes, 2022
Appropriate radial degree of fitted Zernike polynomials for keratoconus subjects.
Alan Cayless (10178644)   +2 more
core   +1 more source

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