Range theorems and inversion formulas for radon transforms on Grassmann manifolds

被引:3
|
作者
Kakehi, T [1 ]
机构
[1] UNIV TSUKUBA, INST MATH, TSUKUBA, IBARAKI 305, JAPAN
关键词
Grassmann manifold; Integral geometry; Inversion formula; Radon transform; Range theorem;
D O I
10.3792/pjaa.73.89
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we state some results on the range characterization for Radon transforms on Grassmann manifolds and give the explicit inversion formulas.
引用
收藏
页码:89 / 92
页数:4
相关论文
共 50 条
  • [31] Inversion Formulas for a Cylindrical Radon Transform
    Haltmeier, Markus
    SIAM JOURNAL ON IMAGING SCIENCES, 2011, 4 (03): : 789 - 806
  • [32] Radon, Cosine and Sine Transforms on Grassmannian Manifolds
    Zhang, Genkai
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2009, 2009 (10) : 1743 - 1772
  • [33] INVERSION OF SPHERICAL MEANS USING GEOMETRIC INVERSION AND RADON TRANSFORMS
    YAGLE, AE
    INVERSE PROBLEMS, 1992, 8 (06) : 949 - 964
  • [34] INVERSION OF SOME SPHERICAL CAP RADON TRANSFORMS
    Truong, T. T.
    EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 2013, 1 (01): : 78 - 102
  • [35] On the iterative inversion of generalized attenuated Radon transforms
    Miqueles, Eduardo X.
    De Pierro, Alvaro R.
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2013, 21 (05): : 695 - 712
  • [36] Inversion of a Class of Circular and Elliptical Radon Transforms
    Ambartsoumian, Gaik
    Krishnan, Venkateswaran P.
    COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS VI, PT 1: PDE, DIFFERENTIAL GEOMETRY, RADON TRANSFORM, 2015, 653 : 1 - 12
  • [37] Approximate Inversion of a Class of Generalized Radon Transforms*
    Ganster, Kevin
    Rieder, Andreas
    SIAM JOURNAL ON IMAGING SCIENCES, 2023, 16 (02): : 842 - 866
  • [38] Topological radon transforms and degree formulas for dual varieties
    Matsui, Yutaka
    Takeuchi, Kiyoshi
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (07) : 2365 - 2373
  • [39] The range of the Radon transform on the real hyperbolic Grassmann manifold
    Ishikawa, Satoshi
    ACTA SCIENTIARUM MATHEMATICARUM, 2020, 86 (1-2): : 225 - 264
  • [40] Support theorems for the spherical radon transform on manifolds
    Quinto, Eric Todd
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2006, 2006