Radiation dose reduction in medical x‐ray CT via Fourier‐based iterative reconstruction

Fahimian, B; Zhao, Yanyan; Huang, Zhifeng; Fung, Russell; Mao, Yu; Zhu, Chun; Khatonabadi, M; DeMarco, John J.; Osher, Stanley; McNitt‐Gray, Michael F.; Miao, Jianwei

doi:10.1118/1.4791644

Cited by 37 publications

(28 citation statements)

References 67 publications

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“…For a given field-of-view, Fig. 7 shows two representations 17 uniform-Cartesian-spatial-resolution-like format. One next step is to consider what these different representative view considerations could mean.…”

Section: Next Stepsmentioning

confidence: 99%

kV x-ray dual digital tomosynthesis for image guided lung SBRT

et al. 2016

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Two simulated sets of digital tomosynthesis images of the lungs, each acquired at a 90 degree angle from the other, with 19 projection images used for each set and SART iterative reconstructed, gives dual tomosynthesis slice image quality approaching that of spiral CT, and with a data acquisition time that is 3% of that of cone beam CT. This fast kV acquisition, should allow near real time tracking of lung tumors in patients receiving SBRT, based on a novel TumoTrak TM multi-source X-ray tube design. Until this TumoTrak TM prototype is completed over the next year, its projected performance was simulated from the DRR images created from a spiral CT data set from a lung cancer patient. The resulting dual digital tomosynthesis reconstructed images of the lung tumor were exceptional and approached that of the gold standard Feldkamp CT reconstruction of breath hold, diagnostic, spiral, multirow, CT data. The relative dose at 46 mAs was less than 10% of what it would have been if the digital tomosynthesis had been done at the 472 mAs of the CT data set. This is for a 0.77 fps imaging rate sufficient to resolve respiratory motion in many free breathing patients during SBRT. Such image guidance could decrease the magnitudes of targeting error margins by as much as 20 mm or more in the craniocaudal direction for lower lobe lesions while markedly reducing dose to normal lung, heart and other critical structures. These initial results suggest a wide range of topics for future work.

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Section: Next Stepsmentioning

confidence: 99%

kV x-ray dual digital tomosynthesis for image guided lung SBRT

et al. 2016

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“…Fourier transform (FT), as a most important tool for spectral analyses, is often encountered in computational physics, including areas such as electromagnetics [1], [2], [3], [4], image processing [5], [6] and acoustics [7], [8].…”

Section: Introductionmentioning

confidence: 99%

An Accurate Conformal Fourier Transform Method for 3D Discontinuous Functions

Zhu

Liu

2015

IEEE Trans. Antennas Propagat.

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Fourier transform of discontinuous functions are often encountered in computational electromagnetics and other areas. In this work, a highly accurate, fast conformal Fourier transform (CFT) algorithm is proposed to evaluate the finite Fourier transform of 3D discontinuous functions. A curved tetrahedron mesh combined with curvilinear coordinate transform, instead of the Cartesian grid, is adopted to flexibly model an arbitrary shape of the discontinuity boundary. This enables us to take full advantages of high order interpolation and Gaussian quadrature methods to achieve highly accurate Fourier integration results with a low sampling density. The 3D nonuniform fast Fourier transform (NUFFT) helps to keep the complexity of the proposed algorithm to that similar to the traditional 3D FFT algorithm. Therefore, the proposed CFT algorithm can achieve order of magnitude higher accuracy than 3D FFT with lower sampling density and similar computation time. The convergence is proved and verified.

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“…Computing the FFT on a non-Cartesian grid can be implemented using one of the available non-equally spaced FFTs (NUFFTs) [8,10,15,14,36,20]. Of particular importance in applications are the polar grids in two and three dimensions, which emerge naturally in a wide range of applications, from computerized tomography to nano-materials to image processing [38,6,44,11,22,30,29,27,4,25]. are available for Toeplitz matrices inversion [42,5].…”

Section: Introductionmentioning

confidence: 99%

Direct Inversion of the Three-Dimensional Pseudo-polar Fourier Transform

Averbuch¹,

Shabat²,

Shkolnisky³

2016

SIAM J. Sci. Comput.

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The pseudo-polar Fourier transform is a specialized non-equally spaced Fourier transform, which evaluates the Fourier transform on a near-polar grid known as the pseudo-polar grid.The advantage of the pseudo-polar grid over other non-uniform sampling geometries is that the transformation, which samples the Fourier transform on the pseudo-polar grid, can be inverted using a fast and stable algorithm. For other sampling geometries, even if the nonequally spaced Fourier transform can be inverted, the only known algorithms are iterative.The convergence speed of these algorithms as well as their accuracy are difficult to control, as they depend both on the sampling geometry as well as on the unknown reconstructed object. In this paper, a direct inversion algorithm for the three-dimensional pseudo-polar Fourier transform is presented. The algorithm is based only on one-dimensional resampling operations, and is shown to be significantly faster than existing iterative inversion algorithms.

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Radiation dose reduction in medical x‐ray CT via Fourier‐based iterative reconstruction

Cited by 37 publications

References 67 publications

kV x-ray dual digital tomosynthesis for image guided lung SBRT

kV x-ray dual digital tomosynthesis for image guided lung SBRT

An Accurate Conformal Fourier Transform Method for 3D Discontinuous Functions

Direct Inversion of the Three-Dimensional Pseudo-polar Fourier Transform

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