A set theoretic approach to image reconstruction from projections

Author

Bhumkar, Bhaskar ; Vora, Poorvi L. ; Chandna, B. ; Shankar, K.

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Technol., Bombay, India

Volume

1

fYear

1996

fDate

16-19 Sep 1996

Firstpage

737

Abstract

The reconstruction of an image from incomplete view data requires the use of several constraints not derived from ray sum (projection data) measurements. The constraints can be incorporated through the method of (sequential and parallel) projections onto the constraint sets. These methods for the use of information regarding the noise and the image are implemented and compared. It is shown that the use of noise statistics decreases the mean square error in the image and that the method of parallel projections results in smaller error than the method of sequential projections if a sufficient number of iterations is permitted

Keywords

computerised tomography; image reconstruction; medical image processing; noise; set theory; statistical analysis; algebraic methods; brain; constraint sets; image information; image reconstruction; incomplete view data; iterations; mean square error; noise information; noise statistics; parallel projections; projection data; ray sum measurements; sequential projections; set theory; tomographic problem; Electric variables measurement; Equations; Error analysis; Hafnium; Image reconstruction; Mean square error methods; Pixel; Subspace constraints; Tomography; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 1996. Proceedings., International Conference on

Conference_Location

Lausanne

Print_ISBN

0-7803-3259-8

Type

conf

DOI

10.1109/ICIP.1996.561001

Filename

561001