Bandlimited and Haar filtered back-projection reconstructions

Author

Guédon, Jean-Pierre ; Bizais, Yves

Author_Institution

Center for Devices & Radiolog. Health, Rockville, MD, USA

Volume

13

Issue

3

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

430

Lastpage

440

Abstract

A new way to discretize the filtered back-projection (FBP) algorithm is presented. The function basis is the Haar system (2D product of rectangular windows). This scheme allows one to derive the optimal shape of the apodisation window, which is angle varying, and the oversampling ratio between the pixel and the projection cell size. The discrete equivalent filter is also derived. The comparison of standard radial band-limited and separable Haar reconstructions shows that improvements, in terms of linearity, shift-invariance and aliasing, can be obtained even for the case of a limited number of views. Considerations of projection degradations are then analyzed according to a specific imaging device to derive the optimum oversampling ratio

Keywords

image reconstruction; medical image processing; Haar filtered back-projection reconstruction; aliasing; apodisation window; bandlimited reconstructions; limited view number; linearity; medical imaging; optimum oversampling ratio; projection cell size; projection degradations; rectangular windows 2D product; shift-invariance; Biomedical imaging; Degradation; Discrete transforms; Filtering; Filters; Image analysis; Image reconstruction; Linearity; Shape; Spline;

fLanguage

English

Journal_Title

Medical Imaging, IEEE Transactions on

Publisher

ieee

ISSN

0278-0062

Type

jour

DOI

10.1109/42.310874

Filename

310874