Results 11 to 20 of about 1,511 (175)
Stable Evaluation of 3D Zernike Moments for Surface Meshes
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
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Accuracy and reliability of orthogonal polynomials in representing corneal topography
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
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Simultaneous quantification of longitudinal and transverse ocular chromatic aberrations with Hartmann–Shack wavefront sensor [PDF]
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
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Zernike polynomials and their applications
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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Reconstruction of wavefront distorted by atmospheric turbulence using a Shack-Hartman sensor [PDF]
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
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Zernike integrated partial phase error reduction algorithm
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
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Wavefront Aberration Sensor Based on a Multichannel Diffractive Optical Element
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
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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
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Zernike by ONE Pascal triangle [PDF]
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
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Fringe Pattern Denoising using U-Net based neural network [PDF]
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
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