Results 21 to 30 of about 1,461 (175)
Modal Reconstruction Based on Arbitrary High-Order Zernike Polynomials for Deflectometry
Mathematics, 2023 Deflectometry is a non-destructive, full-field phase measuring method, which is usually used for inspecting optical specimens with special characteristics, such as highly reflective or specular surfaces, as well as free-form surfaces.
Duy-Thai Nguyen +5 more
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Zernike by ONE Pascal triangle [PDF]
EPJ Web of ConferencesThis 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
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Using Generalized Basis for Functional Expansion
Journal of Nuclear Engineering, 2021 Functional expansion has been rigorously studied as a promising method in stochastic neutron transport and multi-physics coupling. It is a method to represent data specified on a desired domain as an expansion of basis set in a continuous manner.
Zhuoran Han, Benoit Forget, Kord Smith
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Validation of Mahajan's formula for scaling ocular higher-order aberrations by pupil size
Indian 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
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Wavefront feature extraction for SAR target recognition
The 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
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Applied 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
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Mathematics, 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
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Advanced analytic treatment and efficient computation of the diffraction integrals in the extended Nijboer-Zernike theory [PDF]
Journal 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.
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Morphological analysis of SZ and X-ray maps of galaxy clusters with Zernike polynomials [PDF]
EPJ Web of Conferences, 2022 Several methods are used to evaluate, from observational data, the dynamical state of galaxy clusters. Among them, the morphological analysis of cluster images is well suited for this purpose. We report a new approach to the morphology, which consists in
Capalbo Valentina +8 more
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Zernike polynomials and their applications
Journal 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
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