Fast Laplace Transforms for the Exponential Radon Transform

被引:0
|
作者
Fredrik Andersson
Marcus Carlsson
Viktor V. Nikitin
机构
[1] Lund University,Centre for Mathematical Sciences
关键词
Exponential Radon transform; Fast Laplace transform; Incomplete data; 65R10; 65R32;
D O I
暂无
中图分类号
学科分类号
摘要
The Fourier slice theorem for the standard Radon transform generalizes to a Laplace counterpart when considering the exponential Radon transform. We show how to use this fact in combination with algorithms for the unequally spaced fast Laplace transform to construct fast and accurate methods for computing both the forward exponential Radon transform and the corresponding back-projection operator.
引用
收藏
页码:431 / 450
页数:19
相关论文
共 50 条
  • [41] Generalized Discrete Radon Transforms and Their Use in the Ridgelet Transform
    Flavia Colonna
    Glenn Easley
    Journal of Mathematical Imaging and Vision, 2005, 23 : 145 - 165
  • [42] Generalized discrete Radon transforms and their use in the ridgelet transform
    Colonna, F
    Easley, G
    JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2005, 23 (02) : 145 - 165
  • [43] IMPROVED FFT-BASED NUMERICAL INVERSION OF LAPLACE TRANSFORMS VIA FAST HARTLEY TRANSFORM ALGORITHM
    HWANG, C
    LU, MJ
    SHIEH, LS
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1991, 22 (01) : 13 - 24
  • [44] A fast, modified parabolic Radon transform
    Abbad, Brahim
    Ursin, Bjorn
    Porsani, Milton J.
    GEOPHYSICS, 2011, 76 (01) : V11 - V24
  • [45] THE LAPLACE TRANSFORM OF ANNUITIES CERTAIN WITH EXPONENTIAL TIME DISTRIBUTION
    DESCHEPPER, A
    GOOVAERTS, M
    DELBAEN, F
    INSURANCE MATHEMATICS & ECONOMICS, 1992, 11 (04): : 291 - 294
  • [46] The Differential Transform Method as a New Computational Tool for Laplace Transforms
    Fatoorehchi, Hooman
    Abolghasemi, Hossein
    Magesh, Nanjundan
    NATIONAL ACADEMY SCIENCE LETTERS-INDIA, 2015, 38 (02): : 157 - 160
  • [47] The Differential Transform Method as a New Computational Tool for Laplace Transforms
    Hooman Fatoorehchi
    Hossein Abolghasemi
    Nanjundan Magesh
    National Academy Science Letters, 2015, 38 : 157 - 160
  • [48] AN ANALYSIS OF BILINEAR TRANSFORM POLYNOMIAL METHODS OF INVERSION OF LAPLACE TRANSFORMS
    GIUNTA, G
    MURLI, A
    SCHMID, G
    NUMERISCHE MATHEMATIK, 1995, 69 (03) : 269 - 282
  • [49] Extraction of the Laplace, Fourier, and Mellin Transforms from the Sumudu Transform
    Khalaf, Rihab F.
    Belgacem, Fethi Bin Muhammad
    10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2014), 2014, 1637 : 1426 - 1432
  • [50] Radon–Kipriyanov Transform of Laplace Series by Weight Spherical Functions
    V. A. Kalitvin
    M. G. Lapshina
    Lobachevskii Journal of Mathematics, 2023, 44 : 3323 - 3330