Point spread function of the general cone‐beam x‐ray reconstruction formula

G. Wang; T. H. Lin; P. C. Cheng; D. M. Shinozaki

doi:10.1002/sca.4950140402

Point spread function of the general cone‐beam x‐ray reconstruction formula

G. Wang
, T. H. Lin
, P. C. Cheng
, D. M. Shinozaki

Department of Electrical Engineering

SUNY Buffalo
Western University

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

In this paper, the spatially varying point spread function (PSF) of the general cone‐beam x‐ray reconstruction formula is derived. It is proved that the vertical integral of the PSF is a two‐dimensional δ function. Therefore, although the general cone‐beam formula is not exact in nature, the vertical integral of the reconstructed three‐dimensional image is equal to that of the actual image. The band‐limited version of the PSF is also derived. The PSF of the general cone‐beam formula is simulated, based on which the reconstruction resolution can be approximately inferred.

Original language	English
Pages (from-to)	187-193
Number of pages	7
Journal	Scanning
Volume	14
Issue number	4
DOIs	https://doi.org/10.1002/sca.4950140402
State	Published - 1992

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abstract = "In this paper, the spatially varying point spread function (PSF) of the general cone‐beam x‐ray reconstruction formula is derived. It is proved that the vertical integral of the PSF is a two‐dimensional δ function. Therefore, although the general cone‐beam formula is not exact in nature, the vertical integral of the reconstructed three‐dimensional image is equal to that of the actual image. The band‐limited version of the PSF is also derived. The PSF of the general cone‐beam formula is simulated, based on which the reconstruction resolution can be approximately inferred.",

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AU - Wang, G.

AU - Lin, T. H.

AU - Cheng, P. C.

AU - Shinozaki, D. M.

PY - 1992

Y1 - 1992

N2 - In this paper, the spatially varying point spread function (PSF) of the general cone‐beam x‐ray reconstruction formula is derived. It is proved that the vertical integral of the PSF is a two‐dimensional δ function. Therefore, although the general cone‐beam formula is not exact in nature, the vertical integral of the reconstructed three‐dimensional image is equal to that of the actual image. The band‐limited version of the PSF is also derived. The PSF of the general cone‐beam formula is simulated, based on which the reconstruction resolution can be approximately inferred.

AB - In this paper, the spatially varying point spread function (PSF) of the general cone‐beam x‐ray reconstruction formula is derived. It is proved that the vertical integral of the PSF is a two‐dimensional δ function. Therefore, although the general cone‐beam formula is not exact in nature, the vertical integral of the reconstructed three‐dimensional image is equal to that of the actual image. The band‐limited version of the PSF is also derived. The PSF of the general cone‐beam formula is simulated, based on which the reconstruction resolution can be approximately inferred.

UR - https://www.scopus.com/pages/publications/0026669207

U2 - 10.1002/sca.4950140402

DO - 10.1002/sca.4950140402

M3 - Article

AN - SCOPUS:0026669207

SN - 0161-0457

VL - 14

SP - 187

EP - 193

JO - Scanning

JF - Scanning

IS - 4

ER -

Point spread function of the general cone‐beam x‐ray reconstruction formula

Abstract

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