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Stereoscopic Two-Dimensional Fourier Transform
2021In this chapter, we present elements for calculating and plotting stereoscopic two-dimensional Fourier transforms. Figure 18-1 provides two screenshots from an Android cell phone. On the left is a two-dimensional spatial function, and on the right is a corresponding Fourier transform obtained with the program.
Moisés Cywiak, David Cywiak
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Two-Dimensional Radon-Fourier Transformer
Optical Engineering, 1985The well-known central-slice, or projection-slice, theorem states that the Radon transform can be used to reduce a two-dimensional Fourier transform to a series of one-dimensional Fourier transforms. In this paper we describe a practical system for implementing this theorem.
Anthony J. Ticknor +2 more
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Two-dimensional Fourier-transform spectrometer
Optical Society of America Annual Meeting, 1990A Fourier-transform spectrometer has been built by using a common-path ring design for the as interferometer and a two-dimensional charge-coupled device array for the detector. The detector records the Fourier-Fraunhofer hologram that is produced by the sheared images of the source.
Joel C. Berlinghieri, Russell O. Hilleke
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Two-dimensional visible-infrared Fourier transform spectroscopy
The Thirteenth International Conference on Ultrafast Phenomena, 2002We demonstrate here two-dimensional spectroscopy of a phase-matched sample of known non-linear response by means of coherent measurement of the emitted infrared field after a visible double-pulse excitation.
Belabas, N, Joffre, M
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Two dimensional properties of discrete fourier transform
Calcolo, 1976Two significant two-dimensional decomposition rules for the Discret Fourier Transform of a set of N data (N=2p) are considered. It is shown that the two-dimensional processing performed according to such rules involves exactly the same operations on the same data as the one-dimensional processing.
Bongiovanni G., Corsini P., Frosini G.
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Two-dimensional complex Fourier transform via the Radon transform
Applied Optics, 1985A hybrid system has been constructed to perform the complex Fourier transform of real 2-D data. The system is based on the Radon transform; i.e., operations are performed on 1-D projections of the data. The projections are derived optically from transmissive or reflective objects, and the complex Fourier transform is performed with SAW filters via the ...
R L, Easton, A J, Ticknor, H H, Barrett
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Two-dimensional Fourier transform electronic spectroscopy
The Journal of Chemical Physics, 2001Two-dimensional Fourier transform electronic spectra of the cyanine dye IR144 in methanol are used to explore new aspects of optical 2D spectroscopy on a femtosecond timescale. The experiments reported here are pulse sequence and coherence pathway analogs of the two-dimensional magnetic resonance techniques known as COSY (correlated spectroscopy) and ...
John D. Hybl +2 more
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Two dimensional Fourier transform using MATLAB
Proceedings of the 14th International Carpathian Control Conference (ICCC), 2013Two dimensional Fourier transform is a powerful tool for image processing, especially in the field of image restoration and filtration. But also it is useful for detection of periodicities at any angle with respect to the image edge. This paper describes the use of two dimensional Fourier transform in the MATLAB environment to compute the length of a ...
Jaromir Zavadil +4 more
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Two-Dimensional Discrete Fourier Transform
2010Two-dimensional DFT has applications in image/video processing. The extension from 1-D to 2-D for the DFT is straightforward.
K. R. Rao, D. N. Kim, J. J. Hwang
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Two-dimensional Fourier transform ESR spectroscopy
The Journal of Chemical Physics, 1986New Fourier transform ESR techniques, which permit rapid data acquisition of ESR spectra, now allow one to perform a variety of two-dimensional ESR experiments. Two prototype experiments on a fast motional nitroxide spectrum are described. The first is based upon detection of the Han echo and may be used for discriminating the homogeneous broadening of
Jeff Gorcester, Jack H. Freed
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