Fourier Method For Correction Of Depth-Dependent Collimator Blurring

Lewitt, R.M.; Edholm, Paul; Xia, Weishi

doi:10.1117/12.953264

Cited by 98 publications

(45 citation statements)

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“…Methods of correcting the effect of the collimator include a method based on a position-independent deblurring filter [8], correction by iterative approach [9][10][11][12], and a correction procedure in Fourier transform domain intended to achieve position-dependent correction [13][14][15]. In this study, a method of performing attenuation correction and aperture correction at the same time [15] is used.…”

Section: Correction Aperturementioning

confidence: 99%

Analytical correction methods for aperture and attenuation effects in SPECT

Ishikawa

Ogawa

2006

Electron Comm Jpn Pt III

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SUMMARYThis paper is concerned with the lowering of spatial resolution by γ ray attenuation and the collimator aperture, which are serious factors degrading the quantitative performance of SPECT (single-photon emission CT). The limit of analytical correction is investigated from the viewpoint of the aperture angle and noise. The methods considered in this paper are the analytical attenuation correction proposed by Kudo and Saito and the analytical aperture correction based on the stationary phase principle proposed by Lewitt and colleagues. Both of these methods are intended to correct projection data affected by attenuation and aperture blur in the Fourier space. Simulation results show that the correction for the attenuation and the aperture is effective if the single-sided aperture is up to 1°. It is also shown that the statistical noise should be carefully handled in applying the correction.

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Section: Correction Aperturementioning

confidence: 99%

Analytical correction methods for aperture and attenuation effects in SPECT

Ishikawa

Ogawa

2006

Electron Comm Jpn Pt III

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“…An alternative CPR algorithm that eliminates these * problems was developed using Fourier expansions. The derivation is simplified over that given by others (9,10 Fig. 2.…”

Section: Fourier Expansion Formulationmentioning

confidence: 99%

Consistent projection reconstruction (CPR) techniques for MRI

Glover

Noll

1993

Magnetic Resonance in Med

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Motion of the subject causes inconsistencies in MR scan data which in turn produce streaks in projection reconstruction (PR) scans or ghosts in 2DFT imaging. It is shown that a data manifold consistent with a static object may be extracted from input scan data by applying consistency criteria based on moment or Fourier expansions of the object's projections. The criteria limit the spectrum of azimuthal variation relative to the radial moments or radial spectral components, and their application diminishes k-space inconsistencies from motion or flow by discarding unallowed expansion terms. This consistent projection reconstruction (CPR) algorithm was applied to the reconstruction of projection data from a moving phantom and from human abdominal sections, and in each case provided reduced motion streaks relative to conventional reconstructions. In addition, CPR was found to be effective when used with 2DFT data by resampling the Cartesian data as radial projections, but to a lesser extent.

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“…The Fourier transforms of these blurring functions have a general form that is satisfied by a Cauchy function exactly and a Gaussian function approximately. Using the frequency distance principle (FDP), alternative approaches were developed [12][13][14] for estimation of the ideal sinogram from the blurred sinogram.…”

Section: Introductionmentioning

confidence: 99%

An innovative method to compensate for distance-dependent blurring in 2D SPECT

Pan

Chen

1998

IEEE Trans. Nucl. Sci.

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In the work reported here, we propose a novel perspective for investigation of the effect of distancedependent blurring in 2D SPECT. Based upon this perspective, we introduce an angular response function that can be related to the distance-dependent blurring function. By using this angular response function, we derive a direct relationship between the blurred and ideal sinograms that provides the mathematical basis for the development of innovative methods, which compensate for the effect of distance-dependent blurring in 2D SPECT. We also show that, under realistic experimental conditions, the blurred sinogram can be approximated as a ID convolution between the ideal sinogram and a modified angular response function. This 1D convolution relationship suggests that the ideal sinogram can be estimated fiom the blurred sinogram by using various 1D deconvolution methods.

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Fourier Method For Correction Of Depth-Dependent Collimator Blurring

Cited by 98 publications

References 0 publications

Analytical correction methods for aperture and attenuation effects in SPECT

Analytical correction methods for aperture and attenuation effects in SPECT

Consistent projection reconstruction (CPR) techniques for MRI

An innovative method to compensate for distance-dependent blurring in 2D SPECT

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