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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:

The generalized Fourier-slice theorem, The FHA cycle & The projection-slice theorem in N dimensions

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The generalized Fourier-slice theorem

2 related topics

The FHA cycle

2 related topics

The projection-slice theorem in N dimensions

1 related topics

Proof in two dimensions

1 related topics

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Overview

The projection-slice theorem in N dimensions

The generalized Fourier-slice theorem

Proof in two dimensions

The FHA cycle

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Projection-slice theorem

Nodes18
Edges17
Triples83
Avg. degree1.89
Density0.111111
Components1

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Projection-slice theorem

Top relations

related to Further reading · 52
Projection-slice theorem → ACM Transactions, America, Aust, Bibcode, Bracewell, Compact Notation, Cone Beam Projections, Daissy, Fourier Slice Photography, Fourier Transforms, Free Source Path, Fully Three-Dimensional Image Reconstruction, Garces, Gaskill, Generalized Fourier Method, Graphics, Halling, Horst, International Meeting, ISBN
related to The FHA cycle · 11
Projection-slice theorem → A1, Abel, Abel-transform, F1, Fourier, Fourier-transform, Hankel, Hankel-transform, If, In, The
related to Proof in two dimensions · 6
Projection-slice theorem → Fourier, If, The, There, Using, Without
related to The generalized Fourier-slice theorem · 6
Projection-slice theorem → For, Fourier-slice, In, N-by-N, N-dimensional, Then
related to Extension to fan beam or cone-beam CT · 4
Projection-slice theorem → CT, It, Shuang-ren Zhao, The
related to The projection-slice theorem in N dimensions · 4
Projection-slice theorem → Fourier, In, N-dimensional, N-dimensional Fourier

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Important terminology

fourier transform theorem projection slice function line projection-slice dimensions two-dimensional onto ct generalized doi 10 image take two reconstruction states

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Projection-slice theoremrelated to Extension to fan beam or cone-beam CTThe0.60section
Projection-slice theoremrelated to Extension to fan beam or cone-beam CTCT0.60section
Projection-slice theoremrelated to Extension to fan beam or cone-beam CTIt0.60section
Projection-slice theoremrelated to Extension to fan beam or cone-beam CTShuang-ren Zhao0.60section
Projection-slice theoremrelated to Further readingBracewell0.60section
Projection-slice theoremrelated to Further readingRonald0.60section
Projection-slice theoremrelated to Further readingNumerical Transforms0.60section
Projection-slice theoremrelated to Further readingScience0.60section
Projection-slice theoremrelated to Further readingBibcode0.60section
Projection-slice theoremrelated to Further readingPMID0.60section
Projection-slice theoremrelated to Further readingS2CID0.60section
Projection-slice theoremrelated to Further readingStrip Integration0.60section

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