Image reconstruction from few views by non-convex optimization

被引:46
|
作者
Sidky, Emil Y. [1 ]
Chartrand, Rick [2 ]
Pan, Xiaochuan [1 ]
机构
[1] Univ Chicago, Dept Radiol, MC 2026,5841 S Maryland Ave, Chicago, IL 60637 USA
[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
关键词
D O I
10.1109/NSSMIC.2007.4436889
中图分类号
O59 [应用物理学];
学科分类号
摘要
Image reconstruction for fan-beam computed tomography (CT) from projection data containing a small number of views is investigated. An iterative algorithm is developed that seeks to minimize the total p-variation of the reconstructed image subject to the constraint that the estimated projection data agree with the available data to within a specified data tolerance epsilon. A preliminary investigation on the dependence of image quality as a function of p and epsilon is performed.
引用
收藏
页码:3526 / +
页数:3
相关论文
共 50 条
  • [31] Convex and Non-convex Optimization Under Generalized Smoothness
    Li, Haochuan
    Qian, Jian
    Tian, Yi
    Rakhlin, Alexander
    Jadbabaie, Ali
    [J]. ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 36 (NEURIPS 2023), 2023,
  • [32] Combined Energy Minimization for Image Reconstruction from Few Views
    Wei, Wei
    Yang, Xiao-Lin
    Zhou, Bin
    Feng, Jun
    Shen, Pei-Yi
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [33] A new accelerating method for global non-convex quadratic optimization with non-convex quadratic constraints
    Wu, Huizhuo
    Zhang, KeCun
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (02) : 810 - 818
  • [34] A solution algorithm for non-convex mixed integer optimization problems with only few continuous variables
    Schoebel, Anita
    Scholz, Daniel
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2014, 232 (02) : 266 - 275
  • [35] Deep Metacyclic Parameter Search: Non-Convex Optimization Based on Evolutionary Computing with a Few Twists
    Csapo, Adam B.
    [J]. 2019 10TH IEEE INTERNATIONAL CONFERENCE ON COGNITIVE INFOCOMMUNICATIONS (COGINFOCOM 2019), 2019, : 247 - 252
  • [36] STABILITY FOR A CLASS OF NON-CONVEX OPTIMIZATION PROBLEMS
    ZALINESCU, C
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1988, 307 (12): : 643 - 646
  • [37] AN EFFICIENT ALGORITHM FOR NON-CONVEX SPARSE OPTIMIZATION
    Wang, Yong
    Liu, Wanquan
    Zhou, Guanglu
    [J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2019, 15 (04) : 2009 - 2021
  • [38] GloptiNets: Scalable Non-Convex Optimization with Certificates
    Beugnot, Gaspard
    Mairal, Julien
    Rudi, Alessandro
    [J]. ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 36 (NEURIPS 2023), 2023,
  • [39] POLYHEDRAL 2-MANIFOLDS WITH FEW NON-CONVEX VERTICES
    BETKE, U
    GRITZMANN, P
    [J]. MONATSHEFTE FUR MATHEMATIK, 1984, 97 (01): : 1 - 21
  • [40] Variance Reduction for Faster Non-Convex Optimization
    Allen-Zhu, Zeyuan
    Hazan, Elad
    [J]. INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 48, 2016, 48