A fast tomographic reconstruction algorithm in the 2-D wavelet transform domain

Author

Blanc-Féraud, L. ; Charbonnier, P. ; Lobel, P. ; Barlaud, M.

Author_Institution

CNRS, Nice, France

Volume

v

fYear

1994

fDate

19-22 Apr 1994

Abstract

A new method for tomographic reconstruction using 2-D wavelet transform (WT) is proposed. Computed tomography involves huge matrices which make the reconstruction process costly. The WT can focus the useful information on a small number of entries. Then, the computation time can be significantly reduced by using special algorithms to exploit the sparsity of the matrices. Moreover, computing the solution in the WT domain scatters errors on several resolutions and thus, control the quality of the reconstruction. We also show that the 2-D WT is more efficient than the 1-D WT

Keywords

computational complexity; computerised tomography; image reconstruction; matrix algebra; medical image processing; wavelet transforms; 2-D WT; 2-D wavelet transform; 2D image reconstruction; computation time; computed tomography; fast tomographic reconstruction algorithm; image reconstruction quality; matrices; Coherence; Computed tomography; Equations; Focusing; Image reconstruction; Iterative algorithms; Reconstruction algorithms; Sparse matrices; Wavelet domain; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on

Conference_Location

Adelaide, SA

ISSN

1520-6149

Print_ISBN

0-7803-1775-0

Type

conf

DOI

10.1109/ICASSP.1994.389471

Filename

389471