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Fourier Slice Photography Theorem

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Refocusing light field images via Fourier Slice Photograph theorem

    https://physics.stackexchange.com/questions/540421/refocusing-light-field-images-via-fourier-slice-photograph-theorem#:~:text=In%20words%2C%20the%20Fourier%20Slice%20photograph%20theorem%20means,in%20python%20to%20an%20acquired%20light%20field%20image.
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Fourier Slice Photography - Stanford …

    https://graphics.stanford.edu/papers/fourierphoto/fourierphoto-600dpi.pdf
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Fourier Slice Photography - Stanford University

    https://graphics.stanford.edu/papers/fourierphoto/
    The main result is a theorem that, in the Fourier domain, a photograph formed by a full lens aperture is a 2D slice in the 4D light field. Photographs focused at different depths correspond to slices at different trajectories in the 4D space. The paper demonstrates the utility of this theorem in two different ways.

Fourier slice photography | ACM Transactions on Graphics

    https://dl.acm.org/doi/10.1145/1073204.1073256
    The main result is a theorem that, in the Fourier domain, a photograph formed by a full lens aperture is a 2D slice in the 4D light field. Photographs focused at different depths correspond to slices at different trajectories in the 4D space. The paper demonstrates the utility of this theorem in two different ways.

Fourier slice photography - ResearchGate

    https://www.researchgate.net/publication/220184642_Fourier_slice_photography
    The main result is a theorem that, in the Fourier domain, a photograph formed by a full lens aperture is a 2D slice in the 4D light field. Photographs …

Fourier Slice Theorem - YouTube

    https://www.youtube.com/watch?v=YIvTpW3IevI
    The Fourier Slice Theorem is the basis of the Filtered Backprojection reconstruction method.This video is part of the "Computed Tomography and the ASTRA Tool...

Fourier slice photography | ACM SIGGRAPH 2005 Papers

    https://dl.acm.org/doi/abs/10.1145/1186822.1073256
    The main result is a theorem that, in the Fourier domain, a photograph formed by a full lens aperture is a 2D slice in the 4D light field. Photographs focused at different depths correspond to slices at different trajectories in the 4D space. The paper demonstrates the utility of this theorem in two different ways.

Slice Theorem - an overview | ScienceDirect Topics

    https://www.sciencedirect.com/topics/engineering/slice-theorem
    The Fourier slice-projection theorem gives an important – if basic – connection between (the Fourier transform of) an object and (the Fourier transform of) its projections, though it is limited with respect to how tomographic projection is actually performed – for reasons of polar/Cartesian sampling and extension to divergent beams.

Refocusing light field images via Fourier Slice …

    https://physics.stackexchange.com/questions/540421/refocusing-light-field-images-via-fourier-slice-photograph-theorem
    Fourier Slice Photograph theorem. P a = F − 2 ∘ B a ∘ F 4. Where P is the refocused photograph, F is either inverse or forward Fourier transform, and B is the Fourier photographic imaging operator, which he gives as. B a [ G] ( k x, k y) = 1 F G ( α k x, α k y, ( 1 − α) k x, ( 1 − α) k y) which is given in equation 5.6.

Projection-slice theorem - Wikipedia

    https://en.wikipedia.org/wiki/Projection-slice_theorem
    In mathematics, the projection-slice theorem, central slice theorem or Fourier slice theorem in two dimensions states that the results of the following two calculations are equal: Take a two-dimensional function f, project it onto a line, and do a Fourier transform of that projection. Take that same function, but do a two-dimensional Fourier transform first, and then slice it through …

Projection-Slice Theorem

    https://cfmriweb.ucsd.edu/ttliu/be280a_15/BE280A15_ctf5.pdf
    Projection-Slice Theorem 1! TT Liu, BE280A, UCSD Fall 2015! Bioengineering 280A" Principles of Biomedical Imaging" " Fall Quarter 2015" CT/Fourier Lecture 5! TT Liu, BE280A, UCSD Fall 2015! Projection-Slice Theorem! Modified from Prince&Links 2006! k x k y k µ(x,y)U(k x ,k y k x =kcosθ k y =ksinθ k=k x 2+k y 2 G(k,θ)=g(l,θ)e−j2πkl ∫∞dl U(k x ,k y

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