Search for dissertations about: "Doppler Radon transform"

Found 2 swedish dissertations containing the words Doppler Radon transform.

  1. 1. Studies of vector tomography

    University dissertation from Centre for Mathematical Sciences, Lund University

    Author : Kent Stråhlén; Lund University.; Lunds universitet.; [1999]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Doppler tomography; Doppler Radon transform; local tomography; vectorial k-plane transform; vectorial Radon transform; k-plane transform; Radon transform; tomography; vector tomography; Mathematics; Matematik;

    Abstract : The motivation to study the kind of problems appearing in this thesis has been ultrasound measurements of flows, from which velocity spectra along lines can be determined. These velocity spectra can mathematically be described by a new non-linear transform, here called the Doppler Spectral Transform (DST). READ MORE

  2. 2. Inverse Problems in Tomography and Fast Methods for Singular Convolutions

    University dissertation from Centre for Mathematical Sciences, Lund University

    Author : Fredrik Andersson; Lund University.; Lunds universitet.; [2005]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; Unequally spaced FFT; Integral transforms; Singular integrals; Lippmann?Schwinger equation; Helmholtz equation; Inverse problems; Fast Gauss transform; Fast summation; Convolution; Radon transform; Tomography;

    Abstract : There are two, partially interlaced, themes treated in this thesis; inverse problems of tomographic type and fast and accurate methods for the application of convolution operators. Regarding the first theme, the inverse problem of Doppler tomography is considered and the Doppler moment transform is introduced for that purpose. READ MORE