Multiresolution Parameter Choice Method for Total Variation Regularized Tomography

Kati Niinimäki, Matti Lassas, Keijo Hämäläinen, Aki Kallonen, Ville Kolehmainen, Esa Niemi, Samuli Siltanen

Research output: Contribution to journalArticleScientificpeer-review

Original languageEnglish
JournalSIAM journal on imaging sciences
Volume9
Issue number3
Pages (from-to)938-974
Number of pages37
ISSN1936-4954
DOIs
Publication statusPublished - 2016
MoE publication typeA1 Journal article-refereed

Fields of Science

  • total variation regularization
  • parameter choice
  • tomography
  • inverse problem
  • regularization
  • TOTAL-VARIATION MINIMIZATION
  • STATISTICAL ITERATIVE RECONSTRUCTION
  • X-RAY TOMOGRAPHY
  • IMAGE-RESTORATION
  • COMPUTED-TOMOGRAPHY
  • BAYESIAN INVERSION
  • OPTIMIZATION PROBLEM
  • CONVEX-OPTIMIZATION
  • ALGORITHM
  • CONVERGENCE
  • 113 Computer and information sciences
  • 111 Mathematics

Cite this

@article{fc186de03868408cb561c701d3bcabe0,
title = "Multiresolution Parameter Choice Method for Total Variation Regularized Tomography",
keywords = "total variation regularization, parameter choice, tomography, inverse problem, regularization, TOTAL-VARIATION MINIMIZATION, STATISTICAL ITERATIVE RECONSTRUCTION, X-RAY TOMOGRAPHY, IMAGE-RESTORATION, COMPUTED-TOMOGRAPHY, BAYESIAN INVERSION, OPTIMIZATION PROBLEM, CONVEX-OPTIMIZATION, ALGORITHM, CONVERGENCE, 113 Computer and information sciences, 111 Mathematics",
author = "Kati Niinim{\"a}ki and Matti Lassas and Keijo H{\"a}m{\"a}l{\"a}inen and Aki Kallonen and Ville Kolehmainen and Esa Niemi and Samuli Siltanen",
year = "2016",
doi = "10.1137/15M1034076",
language = "English",
volume = "9",
pages = "938--974",
journal = "SIAM journal on imaging sciences",
issn = "1936-4954",
publisher = "Society for Industrial and Applied Mathematics",
number = "3",

}

Multiresolution Parameter Choice Method for Total Variation Regularized Tomography. / Niinimäki, Kati; Lassas, Matti; Hämäläinen, Keijo; Kallonen, Aki; Kolehmainen, Ville; Niemi, Esa; Siltanen, Samuli.

In: SIAM journal on imaging sciences , Vol. 9, No. 3, 2016, p. 938-974.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Multiresolution Parameter Choice Method for Total Variation Regularized Tomography

AU - Niinimäki, Kati

AU - Lassas, Matti

AU - Hämäläinen, Keijo

AU - Kallonen, Aki

AU - Kolehmainen, Ville

AU - Niemi, Esa

AU - Siltanen, Samuli

PY - 2016

Y1 - 2016

KW - total variation regularization

KW - parameter choice

KW - tomography

KW - inverse problem

KW - regularization

KW - TOTAL-VARIATION MINIMIZATION

KW - STATISTICAL ITERATIVE RECONSTRUCTION

KW - X-RAY TOMOGRAPHY

KW - IMAGE-RESTORATION

KW - COMPUTED-TOMOGRAPHY

KW - BAYESIAN INVERSION

KW - OPTIMIZATION PROBLEM

KW - CONVEX-OPTIMIZATION

KW - ALGORITHM

KW - CONVERGENCE

KW - 113 Computer and information sciences

KW - 111 Mathematics

U2 - 10.1137/15M1034076

DO - 10.1137/15M1034076

M3 - Article

VL - 9

SP - 938

EP - 974

JO - SIAM journal on imaging sciences

JF - SIAM journal on imaging sciences

SN - 1936-4954

IS - 3

ER -