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Fourier Transform Photography A New Method For X-Ray Astronomy

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Fourier transform photography: a new method for X-ray astronomy

    https://www.semanticscholar.org/paper/Fourier-transform-photography%3A-a-new-method-for-Ables/99d55cfdc7410a0eeb533cb2e0a6b2f949f1d279#:~:text=Fourier%20transform%20photography%3A%20a%20new%20method%20for%20X-ray,from%20a%20relative%20dearth%20of%20image%20forming%20devices.
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Fourier Transform Photography: A New Method for X-Ray …

    https://www.cambridge.org/core/journals/publications-of-the-astronomical-society-of-australia/article/abs/fourier-transform-photography-a-new-method-for-xray-astronomy/0DD4A35E3D669C0B46CB66827477E3A8
    In comparison with all other branches of astronomy, X-ray astronomy suffers from a relative dearth of image forming devices. No X-ray lens is known and image formation by reflection requires glancing incidence optics which have small fields of view and are extremely difficult to fabricate, even for the small apertures (about 2 cm 2) now employed.The only other …

Fourier transform photography: a new method for X-ray …

    https://www.semanticscholar.org/paper/Fourier-transform-photography%3A-a-new-method-for-Ables/99d55cfdc7410a0eeb533cb2e0a6b2f949f1d279
    In comparison with all other branches of astronomy, X-ray astronomy suffers from a relative dearth of image forming devices. No X-ray lens is known and image formation by reflection requires glancing incidence optics which have small fields of view and are extremely difficult to fabricate, even for the small apertures (about 2 cm 2 ) now employed. The only other imaging …

FOURIER TRANSFORM PHOTOGRAPHY: A NEW METHOD …

    https://www.osti.gov/scitech/biblio/4774091
    OSTI.GOV Journal Article: FOURIER TRANSFORM PHOTOGRAPHY: A NEW METHOD FOR X-RAY ASTRONOMY. FOURIER TRANSFORM PHOTOGRAPHY: A NEW METHOD FOR X-RAY ASTRONOMY. Full Record; Other Related Research; Authors: Ables, J G Publication Date: Mon Jan 01 00:00:00 EST 1968 Research Org.: Univ. of Adelaide

Fourier transform photography: a new method for X-ray …

    https://ui.adsabs.harvard.edu/abs/1968PASA....1..172A/abstract
    adshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A

X-ray Crystallography and the Fourier Transform - AMS

    https://www.ams.org/publicoutreach/feature-column/fc-2011-10
    The absolute values are the same, but the distributions are different, as shown below. X-ray crystallographers have devised many ways to get around this limitation, called "the phase problem;" they are beyond the scope of this column. The temperature distributions f(x)=cos x+cos 3x f ( x) = cos. ⁡. x + cos. ⁡.

Fourier Slice Photography - Stanford University

    https://graphics.stanford.edu/papers/fourierphoto/fourierphoto-600dpi.pdf
    rive a fast Fourier Slice Digital Refocusing algorithm. This algo-rithm computes photographs by extracting the appropriate 2D slice of the light field’s Fourier transform and performing an inverse Fourier transform. The asymptotic complexity of this algorithm is O(n2 log n), compared to the O(4) approach of existing algo-

A Fourier Transforms‣ Essential Radio Astronomy

    https://www.cv.nrao.edu/~sransom/web/A1.html
    The continuous Fourier transform converts a time-domain signal of infinite duration into a continuous spectrum composed of an infinite number of sinusoids. In astronomical observations we deal with signals that are discretely sampled, usually at constant intervals, and of finite duration or periodic.

Lensless coded-aperture imaging with separable ... - SPIE …

    https://www.spiedigitallibrary.org/journals/Optical-Engineering/volume-54/issue-02/023102/Lensless-coded-aperture-imaging-with-separable-Doubly-Toeplitz-masks/10.1117/1.OE.54.2.023102.full
    The most straightforward approach for inversion of Eq. is by Fourier transform. Our initial investigations using spatial-light-modulator (SLM)-defined masks showed noisy low-contrast recovered images. ... J. G. Ables, “Fourier transform photography: a new method for x-ray astronomy,” Proc. Astron. Soc. Aust., 1 ...

Lecture 8: Fourier transforms - Harvard University

    https://scholar.harvard.edu/files/schwartz/files/lecture8-fouriertransforms.pdf
    takes values from 0 to 255. We can then Fourier transform this function to a function f˜(kx,ky): f˜(k x,ky)= 1 2π Z −∞ ∞ dx Z −∞ ∞ dy f(x,y)e−ikx xe−kyy (20) The 2D Fourier transform is really no more complicated than the 1D transform – we just do two integrals instead of one. So what we do we get? Here’s an example

Coded aperture - Wikipedia

    https://en.wikipedia.org/wiki/Coded_aperture
    Multiple masks, at varying distances from a detector, add flexibility to this tool. Specifically the modulation collimator, invented by Minoru Oda, was used to identify the first cosmic X-ray source and thereby to launch the new field of X-ray astronomy in 1965. Many other applications in other fields, such as tomography, have since appeared

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