FOURIER

Before
1: S
fast, charles, via, whose, its, time
2: SU
charles, joseph, finite, spatial, double, complex, using, difference, partial, via, simple, standard, single
2: US
inverse, discrete, complex, direct
3: SUU
fractional, truncated, generalized, optical, temporal, digital, difference, classical, frequency
3: USU
applying
3: UUS
infrared, direct
4: SUUU
generalized
4: USUU
dimensional, continuous, conventional
4: UUSU
exponential, corresponding
After
1: S
sine, modes, plane, space, maps, map, mode, phase, heat, law, terms
2: SU
transform, optics, series, spectrum, spectra, spectral, theorem, method, methods, theory, basis, number, image, power
2: US
transform, transforms, transformed, domain, techniques, technique, theory
3: SUU
integral, filtering, amplitude, synthesis, frequencies, imaging, analyzed, frequency, theory
3: USU
expansions, transforming, inversion, components, expansion, harmonic, component, equation
4: USUU
analysis
4: UUSU
coefficients, transformation, transformations, coefficient, reconstruction
5: UUUSU
decomposition, approximation, representation
Surrounder Phrases
elliptic integrals, integral, partial, filter, equation, shapeexponential smoothing, approximation, integral, phase, equationinfrared spectroscopy, reflectance, spectrometers, spectra, spectrometer, spectrum, spectral, analyzer, imaging, optics, optical, frequenciesreflectance spectroscopy, spectra, infrared, spectrum, mapconvolution integrals, theorem, kernel, integral, algorithm, filter, sumdiscrete cosine, convolution, approximation, frequencies, sine, components, spectrum, spectralspectral reflectance, deconvolution, decomposition, amplitudes, resolution, filtering, analyzer, analysis, acceleration, components, amplitude, smoothing, imaging, analyses, domain, shapeiterative deconvolution, algorithm, reconstruction, methods, method, numerical, technique, approximation, techniquesinverse trigonometric, cosine, filtering, transform, sine, transforms, matrix, transformation, filter, discrete, transformations, exponentialcosine transform, transforms, harmonic, wave, matrix, pulse, filter, transformationsine wave, cosine, transform, pulsespectrum analyzerjean francois, pierre, denonlinear optics, optical, elliptic, filtering, spectroscopy, transformations, finite, iterative, partial, wave, equation, inversion, coefficienttrigonometric sine, serieslinear interpolation, approximation, convolution, transformations, acceleration, elliptic, filtering, fractional, transformation, summation, optics, equationtransform infrared, spectrometers, spectrometer, hologram, spectroscopy, coefficientsconvergent nozzle, lens, series, algorithmimaging spectrometers, spectrometer, techniques, optics, spectroscopy, techniquereflection holograms, coefficient, hologram, coefficients, spectroscopy, spectraquantum optics, theorypierre francois, de, jean, joseph, charleskernel smoothing, modedeconvolution algorithm, techniques, technique, method, methods, analysiscomplex conjugate, amplitudesfinite dimensional, difference, amplitude, numberpulsed nozzle, mode, wave, opticalheat conduction, transfertruncated exponentialdouble sided, exponential, integrals, standard, summationtemporal summation, convolution, resolution, filtering, interpolationspatial resolution, summation, filtering, frequencies, interpolation, frequency, convolution, harmonics, smoothing, representations, domain, filterweighted sum, images, summation, imaging, squared, imageharmonic amplitudes, approximation, expansions, motion, frequencies, analyzer, coefficients, imaging, components, amplitude, wave, component, spectrum, spectra, series, frequency, acceleration, analysisinfinite dimensional, number, series, summationsquared modulus, amplitude, coefficient, magnitudeconjugate pairs, pairsuccessive approximation, phases, expansions, transformationsoptical spectroscopy, spectra, reflectance, imaging, pulse, signal, spectrum, frequencies, components, spectrometer, filteringpulse amplitude, amplitudes, transformer, shape, wavewindowed modematrix inversion, inversetransfer coefficient, coefficientssignal processing, amplitude, amplitudes, analyzerionization spectroscopy, coefficients, coefficient, spectrawave amplitudes, amplitude, inversion, optics, equationgeneralized inverse, linearhologram planedigital imaging, filtering, holograms, signal, hologram, filter, images, imagephase holograms, transformations, transformer, conjugate, inversion, hologramdomain decomposition, integrals, convolutionoptics approximationfractional quantum, ionizationnormalized amplitudes, amplitude, spectral, frequency, spectrafrancois de, pierre, joseph, jeantwodimensional plane, representation, images, space, imageseries expansionsmodulus squaredsmoothing kernel, filter, algorithm, techniques, technique, planedimensional convolution, integrals, space, elliptic, reconstruction, imaging, finite, representations, projection, numerical, representation, harmonic, interpolation, images, nonlinearsimple harmonic, trigonometric, linear, exponentialspectroscopy infraredinterpolation algorithm, filter, method, technique, methods, techniquesfrequency domain, spectrum, harmonics, spectra, componentsintegral equation, transforms, component, convolutionplane waveth harmonic, componentfilter coefficients, kernelexpansion coefficients, coefficientapproximation algorithm, theoremstep forwardfiltering algorithm, techniques, techniquecoefficient matrixamplitude spectra, spectrum, squaredfundamental theorem, frequencynumerical methods, approximation, inversion, algorithm, analysis, coefficientsshape descriptors, descriptordecomposition theorem, algorithmimage processing, deconvolution, analyzerresolution spectrometers, spectroscopy, imaging, spectrometer, spectraprojection lens, optics, matrix, planejoseph francoistransformation matrixmultidimensional spacecontinuous spectrum, waveinversion algorithm, pulse, theoremfast convolutionmode amplitudesmap projectioncharles francoisreconstruction algorithmsided spectralmagnitude squaredconduction equationvia dianalyzed usingsum squaredslice theoremspectrometer resolutionsingle sidedsummation symbolindirect methodclassical opticspower spectrallens opticssubsequent analyses