Iterative estimation of coherent-scattering profiles from given positions by use of a single-direction beam

Terabe, Mitsuaki; Okamoto, Hiroyuki; Koshida, Kichiro

doi:10.1007/s12194-012-0159-0

Cited by 3 publications

(3 citation statements)

References 31 publications

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“…( 4) would result in voxels heavily blurred along the beam, a phenomenon that also appears in Ref. [21]. To decouple the scattering direction from different positions along the beam, prior information on the spatial distribution of the sample obtained from AD-CSCT was used to assist the reconstruction.…”

Section: Reconstruction and Resultsmentioning

confidence: 99%

“…can be written in the form of a linear system

g = Hf

, where the system matrix is constructed based on the weight of each object voxel calculated from the term

\frac{Δ^{2}}{w^{2} + {(z_{d} - t)}^{2}} d t d q

. A special case of this model using the scattering images from two detector locations

z_{d}

has been demonstrated …”

Section: Methodsmentioning

confidence: 99%

“…A special case of this model using the scattering images from two detector locations z d has been demonstrated. 21…”

Section: A Direction-dependent X-ray Coherent Scatteringmentioning

confidence: 99%

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Three‐dimensional reciprocal space x‐ray coherent scattering tomography of two‐dimensional object

Zhu

Pang

2018

Medical Physics

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Section: Reconstruction and Resultsmentioning

confidence: 99%

“…can be written in the form of a linear system

g = Hf

, where the system matrix is constructed based on the weight of each object voxel calculated from the term

\frac{Δ^{2}}{w^{2} + {(z_{d} - t)}^{2}} d t d q

. A special case of this model using the scattering images from two detector locations

z_{d}

has been demonstrated …”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Three‐dimensional reciprocal space x‐ray coherent scattering tomography of two‐dimensional object

Zhu

Pang

2018

Medical Physics

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Maximum-likelihood estimation of scatter components algorithm for x-ray coherent scatter computed tomography of the breast

2016

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Coherent scatter computed tomography (CSCT) is a reconstructive x-ray imaging technique that yields the spatially resolved coherent-scatter cross section of the investigated object revealing structural information of tissue under investigation. In the original CSCT proposals the reconstruction of images from coherently scattered x-rays is done at each scattering angle separately using analytic reconstruction. In this work we develop a maximum likelihood estimation of scatter components algorithm (ML-ESCA) that iteratively reconstructs images using a few material component basis functions from coherent scatter projection data. The proposed algorithm combines the measured scatter data at different angles into one reconstruction equation with only a few component images. Also, it accounts for data acquisition statistics and physics, modeling effects such as polychromatic energy spectrum and detector response function. We test the algorithm with simulated projection data obtained with a pencil beam setup using a new version of MC-GPU code, a Graphical Processing Unit version of PENELOPE Monte Carlo particle transport simulation code, that incorporates an improved model of x-ray coherent scattering using experimentally measured molecular interference functions. The results obtained for breast imaging phantoms using adipose and glandular tissue cross sections show that the new algorithm can separate imaging data into basic adipose and water components at radiation doses comparable with Breast Computed Tomography. Simulation results also show the potential for imaging microcalcifications. Overall, the component images obtained with ML-ESCA algorithm have a less noisy appearance than the images obtained with the conventional filtered back projection algorithm for each individual scattering angle. An optimization study for x-ray energy range selection for breast CSCT is also presented.

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Non-invasive classification of breast microcalcifications using x-ray coherent scatter computed tomography

Ghammraoui

Popescu

2017

Phys. Med. Biol.

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We investigate the use of energy dispersive x-ray coherent scatter computed tomography (ED-CSCT) as a non-invasive diagnostic method to differentiate between type I and type II breast calcifications. This approach is sensitive to the differences of composition and internal crystal structure of different types of microcalcifications. The study is carried out by simulating a CSCT system with a scanning pencil beam, considering a polychromatic x-ray source and an energy-resolving photon counting detector. In a first step, the multidimensional angle and energy distributed CSCT data is reduced to the projection-space distributions of only a few components, corresponding to the expected target composition: adipose, glandular tissue, weddellite (calcium oxalate) for type I calcifications, and hydroxyapatite for type II calcifications. The maximum-likelihood estimation of scatter components algorithm used, operating in the projection space, takes into account the polychromatic source, the detector response function and the energy dependent attenuation. In the second step, component images are reconstructed from the corresponding estimated component projections using filtered backprojection. In a preliminary step the coherent scatter differential cross sections for hydroxyapatite and weddellite minerals were determined experimentally. The classification of type I or II calcifications is done using the relative contrasts of their components as the criterion. Simulation tests were carried out for different doses and energy resolutions for multiple realizations. The results were analyzed using relative/receiver operating characteristic methodology and show good discrimination ability at medium and higher doses. The noninvasive CSCT technique shows potential to further improve the breast diagnostic accuracy and reduce the number of breast biopsies.

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Iterative estimation of coherent-scattering profiles from given positions by use of a single-direction beam

Cited by 3 publications

References 31 publications

Three‐dimensional reciprocal space x‐ray coherent scattering tomography of two‐dimensional object

Three‐dimensional reciprocal space x‐ray coherent scattering tomography of two‐dimensional object

Maximum-likelihood estimation of scatter components algorithm for x-ray coherent scatter computed tomography of the breast

Non-invasive classification of breast microcalcifications using x-ray coherent scatter computed tomography

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