Image reconstruction from projections under wavelet constraints

Author

Sahiner, Berkman ; Yagle, Andrew E.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

Volume

41

Issue

12

fYear

1993

fDate

12/1/1993 12:00:00 AM

Firstpage

3579

Lastpage

3584

Abstract

First, the authors discuss how the wavelet transform can be used to perform spatially-varying filtering of an image, suppressing noise locally in smooth regions of the image, and discuss detection of such regions in a noise-corrupted image. Second, they show how to compute the minimum mean-square estimate of an image given: (1) noisy projections of the image; (2) statistics of additive noise in the projections; and (3) constraints on wavelet coefficients of the image. Examples illustrate the resulting procedure

Keywords

filtering and prediction theory; image reconstruction; interference suppression; least squares approximations; spatial filters; wavelet transforms; additive noise; minimum mean-square estimate; noise suppression; noise-corrupted image; noisy projections; projections; smooth regions; spatially-varying filtering; wavelet constraints; wavelet transform; Filtering; Image coding; Image reconstruction; Low pass filters; Signal processing; Signal processing algorithms; Signal resolution; Signal to noise ratio; Spatial resolution; Speech processing;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.258101

Filename

258101