Compton Tomographic Imaging: Design Aspects and Performance

Guzzardi, R; Zito, Margherita; Mey, M. von der

doi:10.1007/978-94-009-6810-3_7

Cited by 4 publications

(1 citation statement)

References 11 publications

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“…For more than 40 years, transmitted penetrating radiation such as x-or gamma-rays have been routinely used to probe the hidden parts of matter and/or tissues [20][21][22] their attenuation along all possible linear paths in the plane form a set of Radon data, which, once fed into a chosen inversion formula, provides the reconstruction of the probed medium.…”

Section: Compton Scattering Tomographymentioning

confidence: 99%

Inversion of a new circular-arc Radon transform for Compton scattering tomography

Nguyen

Truong

2010

Inverse Problems

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Abstract.A new circular arc Radon transform arising from the mathematical modeling of image formation in a new modality of Compton scattering tomography is introduced. We describe some of its properties and establish its analytic inverse formula. This result demonstrates the feasibility of image reconstruction from Compton scattered radiation in Compton scattering tomography. We also show that it belongs to a larger class of Radon transforms on algebraic curves, which remain invariant under a specific geometric inversion.

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Section: Compton Scattering Tomographymentioning

confidence: 99%

Inversion of a new circular-arc Radon transform for Compton scattering tomography

Nguyen

Truong

2010

Inverse Problems

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X-Ray Tomography Vs Compton Scattering in the Diagnosis of Pulmonary Diseases

Perri

Fedeli

Zito

et al. 1987

Physics and Engineering of Medical Imaging

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Automatic Contour Detection Using a "Fixed-Point Hachimura-Kuwahara Filter" for SPECT Attenuation Correction

Minato

Tang

Bennett

et al. 1987

IEEE Trans. Med. Imaging

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Attenuation correction for single-photon emission computed tomography (SPECT) usually assumes a uniform attenuation distribution within the body surface contour. Previous methods to estimate this contour have used thresholding of a reconstructed section image. This method is often very sensitive to the selection of a threshold value, especially for nonuniform activity distributions within the body. We have proposed the "fixed-point Hachimura-Kuwahara filter" to extract contour primitives from SPECT images. The Hachimura-Kuwahara filter, which preserves edges but smoothes nonedge regions, is applied repeatedly to identify the invariant set-the fixed-point image-which is unchanged by this nonlinear, two-dimensional filtering operation. This image usually becomes a piecewise constant array. In order to detect the contour, the tracing algorithm based on the minimum distance connection criterion is applied to the extracted contour primitives. This procedure does not require choice of a threshold value in determining the contour. SPECT data from a water-filled elliptical phantom containing three sources was obtained and scattered projections were reconstructed. The automatic edge detection procedure was applied to the scattered window reconstruction, resulting in a reasonable outline of the phantom.

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Compton Tomographic Imaging: Design Aspects and Performance

Cited by 4 publications

References 11 publications

Inversion of a new circular-arc Radon transform for Compton scattering tomography

Inversion of a new circular-arc Radon transform for Compton scattering tomography

X-Ray Tomography Vs Compton Scattering in the Diagnosis of Pulmonary Diseases

Automatic Contour Detection Using a "Fixed-Point Hachimura-Kuwahara Filter" for SPECT Attenuation Correction

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