Title :
SSART Being Applied to Approaching Accurate Values of High Frequency Field
Author :
Wei, Benzheng ; Song, Yizhong ; Zhao, Zhimin
Author_Institution :
Nanjing Univ. of Aeronaut. & Astronaut., Nanjing
Abstract :
Simple self-correlative algebraic reconstruction technique (SSART) was applied to reconstructing a high frequency field. It was tested to approach the accurate values with sufficient projections. A high frequency field was designed. It was simulated to project in all directions. Two cross projections was selected to reconstruct the field by SSART. Then, projections were increased step by step. The reconstructed results were studied. As a result, high frequency sections are distorted a lot. With a few projections, the reconstructed result loses the basic characteristics of the model. With projections increasing, the distortion gets lighter and lighter. Near the critical projections, the reconstructed field becomes similar to the model except some high frequency sections. When eighty-four projections are employed, the reconstructed result is in accord with the model. In this case, the mean square error (MSE) is 0.00000011, and the peak error (PE) is 0.000048%. As we know, this is most accurate reconstruction to now. SSART can accurately reconstruct the high frequency field.
Keywords :
algebra; image reconstruction; iterative methods; mean square error methods; algebraic iteration; high frequency field reconstruction; high frequency section; mean square error; peak error; simple self-correlative algebraic reconstruction technique; Art; Frequency; Gaussian processes; Industry applications; Nonlinear distortion; Numerical simulation; Poles and towers; Subspace constraints; Testing; Tomography; Algebraic iteration; Numerical simulation; high frequency field; projection; reconstruction;
Conference_Titel :
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-0-7695-3304-9
DOI :
10.1109/ICNC.2008.811