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Pattern recognition, ISSN 0031-3203, 2016, Volume 56, pp. 16 - 25
Journal Article
Pattern recognition, ISSN 0031-3203, 2014, Volume 47, Issue 8, pp. 2596 - 2606
Journal Article
Pattern Recognition, ISSN 0031-3203, 2006, Volume 39, Issue 11, pp. 2065 - 2076
This paper presents a novel approach to the fast computation of Zernike moments from a digital image. Most existing fast methods for computing Zernike moments... 
Zernike moments | Symmetry/anti-symmetry | Fast method | Discrete Zernike moments | POLYNOMIALS | discrete Zernike moments | fast method | symmetry/anti-symmetry | ALGORITHM | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Applied and Computational Harmonic Analysis, ISSN 1063-5203, 11/2017, Volume 43, Issue 3, pp. 424 - 448
We implement an efficient method of computation of two dimensional Fourier-type integrals based on approximation of the integrand by Gaussian radial basis... 
Extended Nijboer–Zernike theory | 2D Fourier transform | Radial basis functions | Diffraction integrals | Through-focus characteristics of an optical system | INTERPOLATION | MATHEMATICS, APPLIED | SHAPE | Extended Nijboer-Zernike theory | ALGORITHM | NIJBOER-ZERNIKE APPROACH | PARAMETERS | Usage | Biomedical engineering
Journal Article
Digital signal processing, ISSN 1051-2004, 2018, Volume 79, pp. 75 - 90
Here, a new approach is introduced that tackles the problem of the quantization error generation and accumulation in any algorithm. This approach offers... 
Zernike radial polynomials | Zernike moments | Finite precision error | Quantization error | Polar pixels | Recursive computation of Zernike polynomials | RECOGNITION | ACCURATE CALCULATION | IMAGE-RECONSTRUCTION | FEATURES | ENGINEERING, ELECTRICAL & ELECTRONIC | NUMERICAL STABILITY | POLYNOMIALS
Journal Article
Pattern Recognition, ISSN 0031-3203, 02/2018, Volume 74, Issue C, pp. 110 - 121
•New rotation invariants of vector fields are presented.•The invariants are composed of orthogonal Gaussian–Hermite moments.•The proposed invariants are... 
Zernike moments | Gaussian–Hermite moments | Total rotation | Vector field | Invariants | Numerical stability | RECOGNITION | EFFICIENT ALGORITHM | ZERNIKE | FAST COMPUTATION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | IMAGE-ANALYSIS | Gaussian-Hermite moments | Image processing | Analysis | Algorithms | MATHEMATICS AND COMPUTING
Journal Article
Optical engineering, ISSN 0091-3286, 3/2016, Volume 55, Issue 3, pp. 035101 - 035101
Odd-order surfaces have begun to be used in optics. In order to investigate the aberration characteristics of such surfaces, Zernike expansion is widely used... 
odd-order surface | Schmidt surface | Zernike expansion | differentials of Zernike polynomials | POLYNOMIALS | OPTICS
Journal Article
Optics Express, ISSN 1094-4087, 10/2016, Volume 24, Issue 21, pp. 24649 - 24664
In this work, a model based method is applied to phase measuring deflectometry, named modal phase measuring deflectometry. The height and slopes of the surface... 
3D SHAPE MEASUREMENT | ZERNIKE POLYNOMIALS | WAVE-FRONT RECONSTRUCTION | CALIBRATION | OPTICS | MIRROR | ENGINEERING
Journal Article
BMC bioinformatics, ISSN 1471-2105, 2018, Volume 19, Issue 1, pp. 35 - 23
Journal Article
Optics Letters, ISSN 0146-9592, 05/2004, Volume 29, Issue 9, pp. 935 - 937
We present a procedure for attaining resolution beyond the diffraction limit in ground-based telescopes. This procedure is based on the use of rotationally... 
ZERNIKE POLYNOMIALS | FILTERS | OPTICS
Journal Article
tm - Technisches Messen, ISSN 0171-8096, 04/2016, Volume 83, Issue 4, pp. 182 - 191
Neben den anspruchsvollen Spezifikationen in der Fertigung einzelner optischer Komponenten wird die Komplexität ganzer Systeme stark durch die Positionierung... 
zernike-coefficients | Alignment | Zernike-Koeffizienten | Wavefront sensor | Wellenfrontsensorik
Journal Article
Scientific reports, ISSN 2045-2322, 2017, Volume 7, Issue 1, pp. 1 - 12
Coherence properties of different light sources and how they affect the image quality of holographic display are investigated. Temporal coherence is related to... 
SYSTEM | CITTERT-ZERNIKE THEOREM | STAR TRACKERS | ARRAY | QUALITY | AUTOSTEREOSCOPIC DISPLAY | RECONSTRUCTION | MULTIDISCIPLINARY SCIENCES | RESOLUTION | LIQUID-CRYSTAL | Light emitting diodes | Light sources
Journal Article