Error correction with frames: the Burt-Laplacian pyramid

Author

Rakshit, Subrata ; Anderson, Charles H.

Author_Institution

Dept. of Anatomy & Neurobiol., Washington Univ. Sch. of Med., St. Louis, MO, USA

Volume

41

Issue

6

fYear

1995

fDate

11/1/1995 12:00:00 AM

Firstpage

2091

Lastpage

2093

Abstract

The study of multiresolution representations of images led to the development of the pyramid and wavelet representations. The redundancy in the pyramid representation bestows on it the properties of an error-correcting code. The error-correcting properties of the pyramids studied are a property of the representation itself and not a result of making any assumptions about the original images. The article extends the error-reduction properties of frames to an error-correcting routine. It leads to complete noise removal for sparse noise for a class of frames. The results for images using Laplacian pyramids show an additional 10-dB improvement over the previously demonstrated noise reduction for frames

Keywords

error correction; error correction codes; image coding; image representation; image resolution; noise; Burt-Laplacian pyramid; error correcting code; error correction; error reduction properties; frames; multiresolution image representations; noise reduction; noise removal; pyramid representation; redundancy; sparse noise; Dynamic range; Error correction; Error correction codes; Frequency; Image reconstruction; Iterative algorithms; Laplace equations; Noise reduction; Pixel; Redundancy;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.476342

Filename

476342