Results 71 to 80 of about 1,461 (175)

Image Description using Radial Associated Laguerre Moments

Journal of ICT Research and Applications, 2015
This study proposes a new set of moment functions for describing gray-level and color images based on the associated Laguerre polynomials, which are orthogonal over the whole right-half plane.
Bojun Pan, Yihong Li, Hongqing Zhu
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Estimating conformational landscapes from Cryo-EM particles by 3D Zernike polynomials. [PDF]

Nat Commun, 2023
Herreros D, Lederman RR, Krieger JM, Jiménez-Moreno A, Martínez M, Myška D, Strelak D, Filipovic J, Sorzano COS, Carazo JM.   +9 more
europepmc   +1 more source

Generalized Zernike or disc polynomials

Journal of Computational and Applied Mathematics, 2005
The paper is devoted to the study of the generalized Zernike or disc polynomials, which are orthogonal 2D polynomials on the unit disc and can be expressed by Jacobi polynomials of transformed arguments. Two differential equations, a first-order and a second-order one with a certain degree of freedom, and the operators of lowering and raising of the ...
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Resolving capacity of the circular Zernike polynomials

Optics Express, 2015
Circular Zernike polynomials are often used for approximation and analysis of optical surfaces. In this paper, we analyse their lateral resolving capacity, illustrating the effects of a lack of approximation by a finite set of polynomials and answering the following questions: What is the minimum number of polynomials that is necessary to describe a ...
M V, Svechnikov, N I, Chkhalo, M N, Toropov, N N, Salashchenko   +3 more
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A Closed-Form Analytical Conversion between Zernike and Gatinel–Malet Basis Polynomials to Present Relevant Aberrations in Ophthalmology and Refractive Surgery

Photonics
The Zernike representation of wavefronts interlinks low- and high-order aberrations, which may result in imprecise clinical estimates. Recently, the Gatinel–Malet wavefront representation has been introduced to resolve this problem by deriving a new ...
Masoud Mehrjoo, Damien Gatinel, Jacques Malet, Samuel Arba Mosquera   +3 more
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Approximating deformation fields for the analysis of continuous heterogeneity of biological macromolecules by 3D Zernike polynomials. [PDF]

IUCrJ, 2021
Herreros D, Lederman RR, Krieger J, Jiménez-Moreno A, Martínez M, Myška D, Strelak D, Filipovic J, Bahar I, Carazo JM, Sanchez COS.   +10 more
europepmc   +1 more source

Binding site identification of G protein-coupled receptors through a 3D Zernike polynomials-based method: application to C. elegans olfactory receptors. [PDF]

J Comput Aided Mol Des, 2022
Di Rienzo L, De Flaviis L, Ruocco G, Folli V, Milanetti E.   +4 more
europepmc   +1 more source

WFST Astrometric Calibration. I. Modeling Global Geometric Distortion with Zernike Polynomials

The Astronomical Journal
Accurate modeling of geometric distortion (GD) is essential for precise astrometric calibration in wide-field imaging surveys. We present a self-calibration method based on Zernike polynomials, applied to imaging data from the Wide Field Survey Telescope
Chao Yang, Min Fang, Xian Zhong Zheng, Guoliang Li, Binyang Liu, Zheng Lou, Zhen Wan, Miaomiao Zhang, Tian-Rui Sun, Lulu Fan, Xiaoling Zhang, Xu Kong, Yongquan Xue, Wen Zhao, Bin Li, Wentao Luo, Feng Li, Wei Liu, Jian Wang, Hongfei Zhang, Hao Liu, Qinfeng Zhu, Hairen Wang, Dazhi Yao   +23 more
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Multi-order combined diffractive optical elements for identification of different-magnitude wave aberrations

Компьютерная оптика
In this article, multi-order combined diffractive optical elements (DOEs) matched with a set of wave aberrations and Zernike polynomials are proposed and developed.
P.A. Khorin, A.P. Dzyuba, S.N. Khonina
doaj   +1 more source

Quantum aberrations: Entangling photons with Zernike polynomials

Physical Review A
We introduce Zernike polynomials as a novel degree of freedom for encoding quantum information in the spatial structure of photons. Building on their orthogonality and completeness over the unit disk, we develop a framework for generating, manipulating, and detecting photons in Zernike modes, and propose methods for realizing single-photon and two ...
H. Avetisyan, G. Nikoghosyan
openaire   +2 more sources