A weighted difference of L1 and L2 on the gradient minimization based on alternating direction method for circular computed tomography

2017 ◽  
Vol 25 (5) ◽  
pp. 813-829 ◽  
Author(s):  
Wanli Lu ◽  
Lei Li ◽  
Ailong Cai ◽  
Hanming Zhang ◽  
Linyuan Wang ◽  
...  
Keyword(s):  
Computed Tomography ◽  
Alternating Direction Method ◽  
Alternating Direction ◽  
L1 And L2

scholarly journals Distributed Reconstruction via Alternating Direction Method

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Linyuan Wang ◽  
Ailong Cai ◽  
Hanming Zhang ◽  
Bin Yan ◽  
Lei Li ◽  
...  
Keyword(s):  
Computed Tomography ◽  
Image Reconstruction ◽  
Total Variation ◽  
Reconstruction Algorithm ◽  
Alternating Direction Method ◽  
Ct Image ◽  
Total Variation Minimization ◽  
Considerable Research ◽  
Alternating Direction ◽  
Ct Image Reconstruction

With the development of compressive sensing theory, image reconstruction from few-view projections has received considerable research attentions in the field of computed tomography (CT). Total-variation- (TV-) based CT image reconstruction has been shown to be experimentally capable of producing accurate reconstructions from sparse-view data. In this study, a distributed reconstruction algorithm based on TV minimization has been developed. This algorithm is very simple as it uses the alternating direction method. The proposed method can accelerate the alternating direction total variation minimization (ADTVM) algorithm without losing accuracy.

GPU Based Cone Beam Computed Tomography Reconstruction by the Inexact Alternating Direction Method

2014 ◽  
Vol 519-520 ◽  
pp. 651-654
Author(s):  
Ai Long Cai ◽  
Lin Yuan Wang ◽  
Lei Li ◽  
Bin Yan ◽  
Xing Wei ◽  
...  
Keyword(s):  
Computed Tomography ◽  
Cone Beam Computed Tomography ◽  
High Speed ◽  
Hardware Acceleration ◽  
Alternating Direction Method ◽  
Cone Beam ◽  
Total Variation Minimization ◽  
Computation Efficiency ◽  
Alternating Direction ◽  
Tomography Reconstruction

GPU based sparse reconstruction shows great significance in cone beam computed tomography (CBCT). This paper proposes a GPU based efficient algorithm for sparse view CBCT reconstruction. The reconstruction problem is converted to a constrained optimization using total variation minimization. The alternating direction method is adopted to solve it efficiently. Furthermore, a linearized proximity and FFT techniques are used for improving computation efficiency. To tackle with the most time consumption of forward and backward projection operation, the GPU hardware acceleration is utilized. The simulation experiments indicate that the new method is able to realize high accuracy reconstruction for CBCT with high speed.

Optimization-based image reconstruction in computed tomography by alternating direction method with ordered subsets

2017 ◽  
Vol 25 (3) ◽  
pp. 429-464 ◽  
Author(s):  
Ailong Cai ◽  
Linyuan Wang ◽  
Lei Li ◽  
Bin Yan ◽  
Zhizhong Zheng ◽  
...  
Keyword(s):  
Computed Tomography ◽  
Image Reconstruction ◽  
Alternating Direction Method ◽  
Alternating Direction
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