scholarly journals Singular Value Decomposition of a Finite Hilbert Transform Defined on Several Intervals and the Interior Problem of Tomography: The Riemann-Hilbert Problem Approach

2014 ◽  
Vol 69 (3) ◽  
pp. 407-477 ◽  
Author(s):  
Marco Bertola ◽  
Alexander Katsevich ◽  
Alexander Tovbis
Keyword(s):  
Singular Value Decomposition ◽  
Hilbert Transform ◽  
Hilbert Problem ◽  
Singular Value ◽  
Finite Hilbert Transform ◽  
Interior Problem ◽  
Value Decomposition ◽  
Several Intervals ◽  
Riemann Hilbert Problem

scholarly journals Exact Interior Reconstruction with Cone-Beam CT

2007 ◽  
Vol 2007 ◽  
pp. 1-5 ◽  
Author(s):  
Yangbo Ye ◽  
Hengyong Yu ◽  
Ge Wang
Keyword(s):  
Singular Value Decomposition ◽  
Convex Set ◽  
Cone Beam Ct ◽  
Singular Value ◽  
Cone Beam ◽  
Filtered Backprojection ◽  
Volume Of Interest ◽  
Interior Problem ◽  
Value Decomposition ◽  
Svd Method

Using the backprojection filtration (BPF) and filtered backprojection (FBP) approaches, respectively, we prove that with cone-beam CT the interior problem can be exactly solved by analytic continuation. The prior knowledge we assume is that a volume of interest (VOI) in an object to be reconstructed is known in a subregion of the VOI. Our derivations are based on the so-called generalized PI-segment (chord). The available projection onto convex set (POCS) algorithm and singular value decomposition (SVD) method can be applied to perform the exact interior reconstruction. These results have many implications in the CT field and can be extended to other tomographic modalities, such as SPECT/PET, MRI.

Improving TF-IDF with Singular Value Decomposition (SVD) for Feature Extraction on Twitter

2017 ◽  
Author(s):  
Ammar Ismael Kadhim ◽  
Yu-N Cheah ◽  
Inaam Abbas Hieder ◽  
Rawaa Ahmed Ali
Keyword(s):  
Feature Extraction ◽  
Singular Value Decomposition ◽  
Singular Value ◽  
Value Decomposition

Multi-scale singular value decomposition polarization image fusion defogging algorithm and experiment

2020 ◽  
Vol 13 (6) ◽  
pp. 1-10
Author(s):  
ZHOU Wen-zhou ◽  
◽  
FAN Chen ◽  
HU Xiao-ping ◽  
HE Xiao-feng ◽  
...  
Keyword(s):  
Singular Value Decomposition ◽  
Image Fusion ◽  
Singular Value ◽  
Multi Scale ◽  
Polarization Image ◽  
Value Decomposition
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