nonlinear conjugate gradient method;
nonlinear least squares;
spectral tomography;
digital breast tomosynthesis;
total variation regularization;
DIGITAL BREAST TOMOSYNTHESIS;
IMAGE-RECONSTRUCTION;
MINIMIZATION;
ALGORITHM;
SYSTEM;
D O I:
10.1088/1361-6420/ab1c94
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Image reconstruction in spectral digital breast tomosynthesis (DBT) requires solving a large-scale nonlinear inverse problem. Most numerical approaches on real data used a simplified linear (and hence incorrect) mathematical model to reduce the computational costs. The aim of this paper is to consider the use of a nonlinear conjugate gradient method for very large-scale nonlinear least squares problems, and apply it to spectral DBT. Numerical experiments on 3-dimensional phantom images illustrate the effectiveness and efficiency of the proposed scheme.
机构:
Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
Jigawa State Coll Educ, Sch Sci, Dept Math, Gumel, Nigeria
Mewar Univ India, Dept Math, NH-48 Gangrar, Chittaurgarh 312901, Rajasthan, IndiaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
Salihu, Sadiq Bashir
Halilu, Abubakar Sani
论文数: 0引用数: 0
h-index: 0
机构:
Sule Lamido Univ, Dept Math, Kafin Hausa, NigeriaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
Halilu, Abubakar Sani
Abdullahi, Muhammad
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h-index: 0
机构:
Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
Sule Lamido Univ, Dept Math, Kafin Hausa, NigeriaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
Abdullahi, Muhammad
Ahmed, Kabiru
论文数: 0引用数: 0
h-index: 0
机构:
Bayero Univ, Dept Math Sci, Kano, NigeriaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
Ahmed, Kabiru
Mehta, Pramod
论文数: 0引用数: 0
h-index: 0
机构:
Mewar Univ India, Dept Math, NH-48 Gangrar, Chittaurgarh 312901, Rajasthan, IndiaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
Mehta, Pramod
Murtala, Salisu
论文数: 0引用数: 0
h-index: 0
机构:
Fed Univ Dutse, Dept Math, Jigawa, NigeriaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
机构:
UMT, Sch Informat & Appl Math, Kuala Terengganu, Terengganu, MalaysiaUMT, Sch Informat & Appl Math, Kuala Terengganu, Terengganu, Malaysia
AwadAbdelrahman
Mamat, Mustafa
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sultan ZainalAbidin, Fac Informat & Comp, Besut, MalaysiaUMT, Sch Informat & Appl Math, Kuala Terengganu, Terengganu, Malaysia
Mamat, Mustafa
bin Mohd, Ismail
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机构:
UMT, Sch Informat & Appl Math, Kuala Terengganu, Terengganu, MalaysiaUMT, Sch Informat & Appl Math, Kuala Terengganu, Terengganu, Malaysia
bin Mohd, Ismail
MohdRivaie
论文数: 0引用数: 0
h-index: 0
机构:
Univ MARA UiTM Terengganu, Dept Comp Sci & Math, Dungun, Terengganu, MalaysiaUMT, Sch Informat & Appl Math, Kuala Terengganu, Terengganu, Malaysia
MohdRivaie
Omer, Osman
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h-index: 0
机构:
UMT, Sch Informat & Appl Math, Kuala Terengganu, Terengganu, MalaysiaUMT, Sch Informat & Appl Math, Kuala Terengganu, Terengganu, Malaysia
Omer, Osman
2ND ISM INTERNATIONAL STATISTICAL CONFERENCE 2014 (ISM-II): EMPOWERING THE APPLICATIONS OF STATISTICAL AND MATHEMATICAL SCIENCES,
2015,
1643
: 577
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