Reconstruction from ray integrals with sources on a curve

被引:17
|
作者
Palamodov, VP [1 ]
机构
[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
关键词
D O I
10.1088/0266-5611/20/1/014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A new formula is given for the reconstruction of a function in 3D space from a family of its ray integrals. The cost of the reconstruction is two-fold integration.
引用
收藏
页码:239 / 242
页数:4
相关论文
共 50 条
  • [1] Fourier Duality in Integral Geometry and Reconstruction from Ray Integrals
    Palamodov, Victor
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2014, 20 (05) : 947 - 960
  • [2] Fourier Duality in Integral Geometry and Reconstruction from Ray Integrals
    Victor Palamodov
    Journal of Fourier Analysis and Applications, 2014, 20 : 947 - 960
  • [3] CONE BEAM RECONSTRUCTION WITH SOURCES ON A CURVE
    FINCH, DV
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1985, 45 (04) : 665 - 673
  • [4] Approximate reconstruction from ray integrals of a function on a domain with low refraction
    Derevtsov E.Y.
    Maltseva S.V.
    Svetov I.E.
    J. Appl. Ind. Math., 1 (36-46): : 36 - 46
  • [5] RECONSTRUCTION OF X-RAY SOURCES FROM PENUMBRAL IMAGES
    GILLMAN, G
    MACLEOD, I
    COMPUTER GRAPHICS AND IMAGE PROCESSING, 1979, 11 (03): : 227 - 241
  • [6] Inversion of a restricted transverse ray transform with sources on a curve
    Mishra, Rohit Kumar
    Thakkar, Chandni
    INVERSE PROBLEMS, 2024, 40 (04)
  • [7] Tomosynthesis reconstruction from multi-beam X-ray sources
    Lalush, David S.
    Quan, Enzhuo
    Rajaram, Ramya
    Zhang, Jian
    Lu, Jianping
    Zhou, Otto
    2006 3RD IEEE INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING: MACRO TO NANO, VOLS 1-3, 2006, : 1180 - +
  • [8] IMAGE-RECONSTRUCTION FROM STRIP INTEGRALS IN COMPUTER-AIDED X-RAY TOMOGRAPHY
    VERLY, JG
    BRACEWELL, RN
    PHYSICS IN MEDICINE AND BIOLOGY, 1980, 25 (04): : 772 - 772
  • [9] Curve reconstruction from unorganized points
    Lee, IK
    COMPUTER AIDED GEOMETRIC DESIGN, 2000, 17 (02) : 161 - 177
  • [10] Curve reconstruction from noisy samples
    Cheng, SW
    Funke, S
    Golin, M
    Kumar, P
    Poon, SH
    Ramos, E
    COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2005, 31 (1-2): : 63 - 100