Oblique multiresolution analysis

Author

Tira, Zyed ; Duvaut, PatricDk ; Brunel, Pierre ; Georgel, Bruno

Author_Institution

ETIS-ENSEA, Cergy-Pontoise, France

fYear

1994

fDate

25-28 Oct 1994

Firstpage

377

Lastpage

380

Abstract

We present a new type of multiresolution, called oblique multiresolution (OMR), necessary in the decision context. All the fundamental properties of OMR are given and justified. The aim is to develop a multiresolution analysis which provide a redundant decomposition for use in the detection and classification application. The signal decomposition is computed with pyramidal algorithms. We give a necessary-sufficient conditions to reconstruct the signal from its oblique multiresolution decomposition and show how to compute reconstructing filters

Keywords

filtering theory; signal detection; signal reconstruction; signal resolution; wavelet transforms; decision; fundamental properties; necessary-sufficient conditions; oblique multiresolution; oblique multiresolution decomposition; orthonormal wavelet bases; reconstructing filters; redundant decomposition; signal classification; signal detection; signal reconstruction; Density estimation robust algorithm; Filters; Image coding; Image reconstruction; Multiresolution analysis; Ordinary magnetoresistance; Pattern recognition; Signal detection; Signal resolution; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Time-Frequency and Time-Scale Analysis, 1994., Proceedings of the IEEE-SP International Symposium on

Conference_Location

Philadelphia, PA

Print_ISBN

0-7803-2127-8

Type

conf

DOI

10.1109/TFSA.1994.467332

Filename

467332