scholarly journals Design and Realization of Improved Image Restoration Method Based on Fuzzy Projection onto Convex Sets

2015 ◽  
Author(s):  
Li Xin
Keyword(s):  
Image Restoration ◽  
Convex Sets ◽  
Projection Onto Convex Sets ◽  
Restoration Method

3D interpolation of irregular data with a POCS algorithm

Geophysics ◽  
2006 ◽  
Vol 71 (6) ◽  
pp. E91-E97 ◽  
Author(s):  
Ray Abma ◽  
Nurul Kabir
Keyword(s):  
Seismic Data ◽  
Convex Sets ◽  
Fourier Transforms ◽  
Higher Dimensions ◽  
Seismic Surveys ◽  
Projection Onto Convex Sets ◽  
Irregular Data ◽  
Restoration Method ◽  
The Cost

Seismic surveys generally have irregular areas where data cannot be acquired. These data should often be interpolated. A projection onto convex sets (POCS) algorithm using Fourier transforms allows interpolation of irregularly populated grids of seismic data with a simple iterative method that produces high-quality results. The original 2D image restoration method, the Gerchberg-Saxton algorithm, is extended easily to higher dimensions, and the 3D version of the process used here produces much better interpolations than typical 2D methods. The only parameter that makes a substantial difference in the results is the number of iterations used, and this number can be overestimated without degrading the quality of the results. This simplicity is a significant advantage because it relieves the user of extensive parameter testing. Although the cost of the algorithm is several times the cost of typical 2D methods, the method is easily parallelized and still completely practical.

Image restoration based on projection onto convex sets algorithm for beam modulation CT acquisition

2019 ◽  
Vol 158 ◽  
pp. 199-204 ◽  
Author(s):  
Dohyeon Kim ◽  
Donghoon Lee ◽  
Hyemi Kim ◽  
Zhen Chao ◽  
Minjae Lee ◽  
...  
Keyword(s):  
Image Restoration ◽  
Convex Sets ◽  
Projection Onto Convex Sets ◽  
Beam Modulation

Combined exposure computational imaging system and image restoration method

2021 ◽  
Vol 29 (2) ◽  
pp. 452-462
Author(s):  
Xiao-tian WU ◽  
◽  
Bo LÜ ◽  
Bo LIU ◽  
Hang YANG ◽  
...  
Keyword(s):  
Image Restoration ◽  
Imaging System ◽  
Computational Imaging ◽  
Combined Exposure ◽  
Restoration Method
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