MULTIWAVE TOMOGRAPHY WITH REFLECTORS: LANDWEBER'S ITERATION

被引：11
|
作者：
Stefanov, Plamen [1 ]
Yang, Yang [1 ]
机构：
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
来源：
INVERSE PROBLEMS AND IMAGING | 2017年 / 11卷 / 02期
关键词：
Thermoacoustic tomography; microlocal analysis; Landweber iterations; medical imaging; PHOTOACOUSTIC TOMOGRAPHY; CONTINUATION; ALGORITHM;
D O I：
10.3934/ipi.2017018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use the Landweber method for numerical simulations for the multiwave tomography problem with a refecting boundary and compare it with the averaged time reversal method. We also analyze the rate of convergence and the dependence on the step size for the Landweber iterations on a Hilbert space.
引用
收藏
页码：373 / 401
页数：29
相关论文
共 50 条
  • [21] A Modified Landweber Iteration for Solving Parameter Estimation Problems
    O. Scherzer
    Applied Mathematics and Optimization, 1998, 38 : 45 - 68
  • [22] THE LANDWEBER ITERATION AND PROJECTION ONTO CONVEX-SETS
    TRUSSELL, HJ
    CIVANLAR, MR
    IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1985, 33 (06): : 1632 - 1634
  • [23] Convergence of projected Landweber iteration for matrix rank minimization
    Lin, Junhong
    Li, Song
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2014, 36 (02) : 316 - 325
  • [24] Improving Angular Resolution Algorithm Based on Landweber's Iteration for Scanning Radar Systems
    Guan, Jinchen
    Yang, Jianyu
    Huang, Yulin
    Li, Wenchao
    Wu, Junjie
    PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON COMMUNICATIONS, SIGNAL PROCESSING, AND SYSTEMS, 2015, 322 : 199 - 207
  • [25] A Modified Landweber Iteration for General Sideways Parabolic Equations
    Jin-bo LIU 1
    Acta Mathematicae Applicatae Sinica, 2011, 27 (04) : 727 - 738
  • [26] Updating the Landweber Iteration Method for Solving Inverse Problems
    Al-Mahdawi, Hassan K. Ibrahim
    Alkattan, Hussein
    Abotaleb, Mostafa
    Kadi, Ammar
    El-kenawy, El-Sayed M.
    MATHEMATICS, 2022, 10 (15)
  • [27] A modified Landweber iteration for general sideways parabolic equations
    Jin-bo Liu
    You-jun Deng
    Acta Mathematicae Applicatae Sinica, English Series, 2011, 27 : 727 - 738
  • [28] A Data-Driven Iteratively Regularized Landweber Iteration
    Aspri, A.
    Banert, S.
    Oktem, O.
    Scherzer, O.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020, 41 (10) : 1190 - 1227
  • [29] A modified Landweber iteration for general sideways parabolic equations
    Liu, Jin-bo
    Deng, You-jun
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 27 (04): : 727 - 738
  • [30] A discrepancy principle for the Landweber iteration based on risk minimization
    Benvenuto, Federico
    Campi, Cristina
    APPLIED MATHEMATICS LETTERS, 2019, 96 : 1 - 6
12345