A high-speed reconstruction from projections using direct Fourier method with optimized parameters-an experimental analysis

Author

Matej, Samuel ; Bajla, Ivan

Author_Institution

Inst. of Meas. Sci., Slovak Acad. of Sci., Bratislava, Czechoslovakia

Volume

9

Issue

4

fYear

1990

fDate

12/1/1990 12:00:00 AM

Firstpage

421

Lastpage

429

Abstract

Some issues of the direct Fourier method (DFM) implementation are discussed. A hybrid spline-linear interpolation for the DFM is proposed. The results of comprehensive simulation research are presented. The following reconstruction problems and parameters are emphasized: interpolation, increasing the radial density of the polar raster, filtering, the 2-D inverse Fourier transformation dimension, and considering the cases of noiseless and noisy input data. For the a priori prescribed resolution of the reconstructed image, values of reconstruction parameters have been determined which are optimal with regard to reconstruction quality and computation cost. The computational requirements of the DFM algorithm which correspond to distinct interpolation schemes are compared to one another for CT and MR tomography, respectively. The estimations obtained are compared to computational characteristics of the convolution backprojection method

Keywords

Fourier transforms; computerised tomography; computational characteristics; convolution backprojection method; direct Fourier method; filtering; high-speed reconstruction from projections; hybrid spline-linear interpolation; interpolation; noiseless input data; noisy input data; optimized parameters; polar raster; radial density; Computational efficiency; Computed tomography; Convolution; Cost function; Design for manufacture; Filtering; Image reconstruction; Image resolution; Interpolation; Spline;

fLanguage

English

Journal_Title

Medical Imaging, IEEE Transactions on

Publisher

ieee

ISSN

0278-0062

Type

jour

DOI

10.1109/42.61757

Filename

61757