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
来源：
INVERSE PROBLEMS | 2004年 / 20卷 / 01期
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
  • [41] LOCAL SINGULARITY RECONSTRUCTION FROM INTEGRALS OVER CURVES IN R3
    Quinto, Eric Todd
    Rullgard, Hans
    INVERSE PROBLEMS AND IMAGING, 2013, 7 (02) : 585 - 609
  • [42] USE OF BLOCK-CIRCULATING MATRICES FOR RECONSTRUCTION OF A FUNCTION FROM THEIR LINEAR INTEGRALS
    PASEDACH, K
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1977, 57 (05): : T296 - T297
  • [43] A Calabi-Yau-to-curve correspondence for Feynman integrals
    Jockers, Hans
    Kotlewski, Soeren
    Kuusela, Pyry
    Mcleod, Andrew J.
    Poegel, Sebastian
    Sarve, Maik
    Wang, Xing
    Weinzierl, Stefan
    JOURNAL OF HIGH ENERGY PHYSICS, 2025, (01):
  • [44] Binary objects tomographic reconstruction from few noisy x-ray radiographs using a region based curve evolution method
    Bruandet, JP
    Peyrin, F
    Dinten, JM
    Amadieu, O
    Barlaud, M
    2001 IEEE NUCLEAR SCIENCE SYMPOSIUM, CONFERENCE RECORDS, VOLS 1-4, 2002, : 1717 - 1719
  • [45] RECONSTRUCTION OF ELEMENTARY CHARACTERISTIC CURVE
    LOIKO, VA
    BERDNIK, VV
    ZHURNAL NAUCHNOI I PRIKLADNOI FOTOGRAFII, 1995, 40 (02): : 63 - 69
  • [46] Directional information of the simultaneously active X-ray sources and fast CT reconstruction
    Saha, Sajib
    Tahtali, Murat
    Lambert, Andrew
    Pickering, Mark
    MEDICAL IMAGING 2015: PHYSICS OF MEDICAL IMAGING, 2015, 9412
  • [47] Fractal Reconstruction of Log Curve
    Pan Baozhi
    Journal of Geoscientific Research in Northeast Asia, 1999, (01) : 115 - 119
  • [48] Reconstruction of the initial curve from a two-dimensional shape for the B-spline curve fitting
    Almas Jahanshahloo
    ALireza Ebrahimi
    The European Physical Journal Plus, 137
  • [49] Reconstruction of the initial curve from a two-dimensional shape for the B-spline curve fitting
    Jahanshahloo, Almas
    Ebrahimi, ALireza
    EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (03):
  • [50] On Variational Curve Smoothing and Reconstruction
    Yu Wang
    Desheng Wang
    A. M. Bruckstein
    Journal of Mathematical Imaging and Vision, 2010, 37 : 183 - 203
12345