Adaptive update lifting with a decision rule based on derivative filters

Author

Piella, Gemma ; Pesquet-Popescu, Béatrice ; Heijmans, Henk

Author_Institution

Centre for Math. & Comput. Sci., Amsterdam, Netherlands

Volume

9

Issue

10

fYear

2002

Firstpage

329

Lastpage

332

Abstract

This letter treats a class of adaptive update-lifting schemes that do not require bookkeeping for perfect reconstruction. The choice of the update-lifting filter is triggered by a binary threshold criterion based on a generalized gradient that is chosen in such a way that it only smooths homogeneous regions. This criterion can be chosen so that it ignores portions of a signal that are polynomial up to a given order. The update-lifting filter modifies the signal in these polynomial regions but leaves other portions unaffected.

Keywords

adaptive filters; decision theory; filtering theory; polynomials; signal reconstruction; smoothing methods; adaptive update-lifting schemes; binary threshold criterion; decision map; decision rule; derivative filters; generalized gradient; homogeneous regions smoothing; perfect reconstruction; polynomial regions; Adaptive filters; Data analysis; Filter bank; Image reconstruction; Image representation; Information filtering; Information filters; Nonlinear filters; Polynomials; Signal processing;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2002.804563

Filename

1043871