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Creators/Authors contains: "Fujiwara, H"

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  1. ; ; (, Suuri kaiseki kenkyuujo koukyuuroku)
    Ohe, Takashi (Ed.)
    We explain how the theory of A-analytic maps can apply to a local CT-inversion problem, in which the data is restricted on an arc. 
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    Accepted Manuscript Full Text Available
  2. ; ; ; (, Keisan suri kogaku ronbunshu)
    The present paper proposes a novel numerical scheme to X-ray Computerized Tomography (CT) from partial measurement data. In order to reduce radiation exposure, it is desirable to irradiate X-ray only around region of interest (ROI), while the conventional reconstruction methods such as filtered back projection (FBP) could not work due to its intrinsic limitation of dependency on whole measurement data. The proposed method gives a direct numerical reconstruction employing a Cauchy type boundary integration in $$A$$-analytic theory and a singular integral equation which maps boundary measurement to interior data. Numerical examples using experimental data are also exhibited to show validity of the proposed numerical procedure. 
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    Accepted Manuscript Full Text Available