A novel hybrid total variation minimization algorithm for compressed sensing

2017 ◽  
Author(s):  
Hongyu Li ◽  
Yong Wang ◽  
Dong Liang ◽  
Leslie Ying
Keyword(s):  
Compressed Sensing ◽  
Total Variation ◽  
Minimization Algorithm ◽  
Total Variation Minimization

scholarly journals Optimization of STEM‐HAADF Electron Tomography Reconstructions by Parameter Selection in Compressed Sensing Total Variation Minimization‐Based Algorithms

2020 ◽  
Vol 37 (6) ◽  
pp. 2000070
Author(s):  
Juan M. Muñoz‐Ocaña ◽  
Ainouna Bouziane ◽  
Farzeen Sakina ◽  
Richard T. Baker ◽  
Ana B. Hungría ◽  
...  
Keyword(s):  
Compressed Sensing ◽  
Total Variation ◽  
Electron Tomography ◽  
Parameter Selection ◽  
Total Variation Minimization

scholarly journals A General Total Variation Minimization Theorem for Compressed Sensing Based Interior Tomography

2009 ◽  
Vol 2009 ◽  
pp. 1-3 ◽  
Author(s):  
Weimin Han ◽  
Hengyong Yu ◽  
Ge Wang
Keyword(s):  
Compressed Sensing ◽  
Total Variation ◽  
General Theorem ◽  
Region Of Interest ◽  
Delta Function ◽  
Piecewise Constant Function ◽  
Mathematical Tool ◽  
Total Variation Minimization ◽  
Piecewise Constant ◽  
Dirac Delta

Recently, in the compressed sensing framework we found that a two-dimensional interior region-of-interest (ROI) can be exactly reconstructed via the total variation minimization if the ROI is piecewise constant (Yu and Wang, 2009). Here we present a general theorem charactering a minimization property for a piecewise constant function defined on a domain in any dimension. Our major mathematical tool to prove this result is functional analysis without involving the Dirac delta function, which was heuristically used by Yu and Wang (2009).

scholarly journals A constrained, total-variation minimization algorithm for low-intensity x-ray CT

2011 ◽  
Vol 38 (S1) ◽  
pp. S117-S125 ◽  
Author(s):  
Emil Y. Sidky ◽  
Yuval Duchin ◽  
Xiaochuan Pan ◽  
Christer Ullberg
Keyword(s):  
Total Variation ◽  
Minimization Algorithm ◽  
Total Variation Minimization ◽  
X Ray ◽  
Low Intensity
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