Abstract
Iterative image reconstruction for positron emission tomography can improve image quality by using spatial regularization. The most commonly used quadratic penalty often oversmoothes sharp edges and fine features in reconstructed images, while nonquadratic penalties can preserve edges and achieve higher contrast recovery. Existing optimization algorithms such as the expectation maximization (EM) and preconditioned conjugate gradient (PCG) algorithms work well for the quadratic penalty, but are less efficient for high-curvature or nonsmooth edge-preserving regularizations. This paper proposes a new algorithm to accelerate edge-preserving image reconstruction by using two strategies: trust surrogate and optimization transfer descent. Trust surrogate approximates the original penalty by a smoother function at each iteration, but guarantees the algorithm to descend monotonically; Optimization transfer descent accelerates a conventional optimization transfer algorithm by using conjugate gradient and line search. Results of computer simulations and real 3-D data show that the proposed algorithm converges much faster than the conventional EM and PCG for smooth edge-preserving regularization and can also be more efficient than the current state-of-art algorithms for the nonsmooth\ell <inf>1</inf> regularization.
| Original language | English (US) |
|---|---|
| Article number | 6966769 |
| Pages (from-to) | 930-939 |
| Number of pages | 10 |
| Journal | IEEE Transactions on Medical Imaging |
| Volume | 34 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 1 2015 |
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Keywords
- Edge-preserving regularization
- image reconstruction
- optimization algorithm
- optimization transfer
- positron emission tomography (PET)
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Computer Science Applications
- Radiological and Ultrasound Technology
- Software
Cite this
Edge-preserving PET image reconstruction using trust optimization transfer. / Wang, Guobao; Qi, Jinyi.
In: IEEE Transactions on Medical Imaging, Vol. 34, No. 4, 6966769, 01.04.2015, p. 930-939.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Edge-preserving PET image reconstruction using trust optimization transfer
AU - Wang, Guobao
AU - Qi, Jinyi
PY - 2015/4/1
Y1 - 2015/4/1
N2 - Iterative image reconstruction for positron emission tomography can improve image quality by using spatial regularization. The most commonly used quadratic penalty often oversmoothes sharp edges and fine features in reconstructed images, while nonquadratic penalties can preserve edges and achieve higher contrast recovery. Existing optimization algorithms such as the expectation maximization (EM) and preconditioned conjugate gradient (PCG) algorithms work well for the quadratic penalty, but are less efficient for high-curvature or nonsmooth edge-preserving regularizations. This paper proposes a new algorithm to accelerate edge-preserving image reconstruction by using two strategies: trust surrogate and optimization transfer descent. Trust surrogate approximates the original penalty by a smoother function at each iteration, but guarantees the algorithm to descend monotonically; Optimization transfer descent accelerates a conventional optimization transfer algorithm by using conjugate gradient and line search. Results of computer simulations and real 3-D data show that the proposed algorithm converges much faster than the conventional EM and PCG for smooth edge-preserving regularization and can also be more efficient than the current state-of-art algorithms for the nonsmooth\ell 1 regularization.
AB - Iterative image reconstruction for positron emission tomography can improve image quality by using spatial regularization. The most commonly used quadratic penalty often oversmoothes sharp edges and fine features in reconstructed images, while nonquadratic penalties can preserve edges and achieve higher contrast recovery. Existing optimization algorithms such as the expectation maximization (EM) and preconditioned conjugate gradient (PCG) algorithms work well for the quadratic penalty, but are less efficient for high-curvature or nonsmooth edge-preserving regularizations. This paper proposes a new algorithm to accelerate edge-preserving image reconstruction by using two strategies: trust surrogate and optimization transfer descent. Trust surrogate approximates the original penalty by a smoother function at each iteration, but guarantees the algorithm to descend monotonically; Optimization transfer descent accelerates a conventional optimization transfer algorithm by using conjugate gradient and line search. Results of computer simulations and real 3-D data show that the proposed algorithm converges much faster than the conventional EM and PCG for smooth edge-preserving regularization and can also be more efficient than the current state-of-art algorithms for the nonsmooth\ell 1 regularization.
KW - Edge-preserving regularization
KW - image reconstruction
KW - optimization algorithm
KW - optimization transfer
KW - positron emission tomography (PET)
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U2 - 10.1109/TMI.2014.2371392
DO - 10.1109/TMI.2014.2371392
M3 - Article
VL - 34
SP - 930
EP - 939
JO - IEEE Transactions on Medical Imaging
JF - IEEE Transactions on Medical Imaging
SN - 0278-0062
IS - 4
M1 - 6966769
ER -