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IEEE Transactions on Power Systems, ISSN 0885-8950, 11/2019, pp. 1 - 1
This letter presents a numerical algorithm for observability analysis. The proposed algorithm is based on a greedy strategy combined with a Gram-Schmidt... 
state estimation | Gram-Schmidt | observability analysis | observability restoration
Journal Article
Science of the Total Environment, ISSN 0048-9697, 12/2019, Volume 696, p. 133817
As the world's largest energy production and demand country, China's energy security is a hot issue concerned by the whole society. Most existing research... 
Energy security | Mahalanobis-Taguchi gram-Schmidt | Set pair analysis | TOPSIS
Journal Article
Optics Letters, ISSN 0146-9592, 07/2018, Volume 43, Issue 13, pp. 3033 - 3036
A fast and accurate wavefront reconstruction method for two-frame phase-shifting interferometry is proposed. The unknown phase step between the two... 
EXTRACTION | PRINCIPAL COMPONENT ANALYSIS | FRINGE PATTERN PHASE | GRAM-SCHMIDT ORTHONORMALIZATION | DEMODULATION ALGORITHM | OPTICS | RETRIEVAL
Journal Article
Optics Letters, ISSN 0146-9592, 10/2018, Volume 43, Issue 19, pp. 4807 - 4810
2-step phase-shifting interferometry (PSI) is an important technology for phase retrieval due to its outstanding performance in balancing detector bandwidth,... 
PRINCIPAL COMPONENT ANALYSIS | DIGITAL HOLOGRAPHY | INTERFEROGRAMS | GRAM-SCHMIDT ORTHONORMALIZATION | DEMODULATION ALGORITHM | OPTICS | INTERFERENCE MICROSCOPY | FRINGE-PATTERN
Journal Article
Applied Physics Letters, ISSN 0003-6951, 09/2019, Volume 115, Issue 12, p. 121107
Random two-frame phase-shifting interferometry (PSI) is an advanced technique to retrieve the phase information from as few as two interferograms with unknown... 
2-DIMENSIONAL FRINGE PATTERNS | WAVE-FRONT RECONSTRUCTION | NATURAL DEMODULATION | EXTRACTION | PHYSICS, APPLIED | ALGORITHM | DECOMPOSITION | GRAM-SCHMIDT ORTHONORMALIZATION | RETRIEVAL
Journal Article
Optics Express, ISSN 1094-4087, 08/2016, Volume 24, Issue 16, pp. 18695 - 18708
Standard phase-shifting interferometry (PSI) generally requires collecting at least three phase-shifted interferograms to extract the physical quantity being... 
EXTRACTION | ASPHERIC WAVE-FRONTS | ALGORITHM | INTERFEROGRAMS | GRAM-SCHMIDT ORTHONORMALIZATION | TRANSFORM | OPTIMIZATION | NONNULL INTERFEROMETER | DEMODULATION | OPTICS | FRINGE PATTERNS
Journal Article
Applied Optics, ISSN 1559-128X, 07/2017, Volume 56, Issue 19, pp. 5489 - 5500
Phase-shifting interferometry is a standard tool in optical metrology. Most frequently, it needs three or more interferograms to solve the system of fringe... 
SHIFT | INTERFEROMETRY | GRAM-SCHMIDT ORTHONORMALIZATION | COMPONENT ANALYSIS | OPTICS | ALGORITHM | Diffraction patterns | Usage | Research | Demodulation (Electronics) | Analysis | Interferometers
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 11/2019
Journal Article
International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences - ISPRS Archives, ISSN 1682-1750, 2013, Volume 40, Issue 1, pp. 239 - 244
Conference Proceeding
Optics Express, ISSN 1094-4087, 09/2017, Volume 25, Issue 18, pp. 21673 - 21683
Fringe analysis in two-shot phase-shifting interferometry is important but meets challenges due to a limited number of images, corrupting noise, and background... 
EXTRACTION | PRINCIPAL COMPONENT ANALYSIS | FRINGE PATTERN PHASE | GLOBAL OPTIMIZATION | INTERFEROGRAMS | GRAM-SCHMIDT ORTHONORMALIZATION | TRANSFORM | NONNULL INTERFEROMETER | NORMALIZATION | OPTICS | 2-STEP DEMODULATION ALGORITHM
Journal Article
Optics Letters, ISSN 0146-9592, 2015, Volume 40, Issue 15, pp. 3460 - 3463
We present an algorithm capable of performing fringe pattern phase demodulation from two frames with unknown, linearly nonuniform phase shift, i.e., under... 
EXTRACTION | GRAM-SCHMIDT ORTHONORMALIZATION | OPTICS | INTERFEROGRAMS | Errors | Filtration | Algorithms | Error analysis | Phase demodulation | Tilt | Mathematical models | Optimization
Journal Article
Applied Energy, ISSN 0306-2619, 04/2018, Volume 215, pp. 131 - 144
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2015, Volume 37, Issue 3, pp. C307 - C330
To orthonormalize the columns of a dense matrix, the Cholesky QR (CholQR) requires only one global reduction between the parallel processing units and performs... 
GPU computation | Orthogonalization | Mixed-precision | orthogonalization | EIGENVALUE PROBLEM | LINEAR-SYSTEMS | mixed-precision | MATHEMATICS, APPLIED | GRAM-SCHMIDT | GMRES | ALGORITHMS | PARALLEL
Journal Article
Optics Express, ISSN 1094-4087, 02/2016, Volume 24, Issue 4, pp. 3202 - 3215
We propose a simple and robust phase demodulation algorithm for two-shot fringe patterns with random phase shifts. Based on a smoothness assumption, the phase... 
PRINCIPAL COMPONENT ANALYSIS | TRACKING TECHNIQUE | FOURIER-TRANSFORM | ALGORITHM | SINGLE INTERFEROGRAM | WAVELET TRANSFORM | GRAM-SCHMIDT ORTHONORMALIZATION | NONNULL INTERFEROMETER | HILBERT TRANSFORM | OPTICS | DIFFERENTIAL EVOLUTION
Journal Article
Applied Mathematics and Information Sciences, ISSN 1935-0090, 03/2018, Volume 12, Issue 2, pp. 317 - 330
Journal Article
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, ISSN 0196-2892, 10/2007, Volume 45, Issue 10, pp. 3230 - 3239
Journal Article
Intelligent Data Analysis, ISSN 1088-467X, 07/2015, Volume 19, Issue 4, pp. 743 - 760
Extreme learning machine (ELM) is a learning algorithm for single-hidden layer feedforward neural networks (SLFNs) which randomly chooses hidden nodes and... 
tensor product matrix | conjugate gram-schmidt process | Extreme learning machine | QR factorization | cholesky factorization of singular matrix | REGRESSION | CLASSIFICATION | FEEDFORWARD NETWORKS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
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