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Creators/Authors contains: "Tamasan, A."

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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
  3. ; (, Applied Numerical Mathematics)
    Full Text Available 
  4. ; (, Inverse problems)
    We propose and study a method for imaging an approximate electrical conductivity from the magnitude of one interior current density field without any knowledge of the boundary voltage potential. Solely from this interior data, the exact conductivity is impossible to recover as non-unique solutions exist. We propose a method to recover a minimum residual type solution. The method is based on a weighted least gradient problem in the subspace of functions of bounded variations with square integrable traces. We prove existence and uniqueness for a nearby problem, and study the continuous dependence data for a regularized problem. The computational effectiveness and numerica 
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    Accepted Manuscript Full Text Available