Quantization of adaptive wavelets for image compression

Author

Piella, Genznza ; Heijmans, H. ; Pesquet-Popescu, B?©atrice

Author_Institution

Dept. of Theor. of Signal & Commun., UPC, Barcelona, Spain

Volume

2

fYear

2004

Abstract

In this paper we investigate the potential of a special class of adaptive wavelet schemes to yield an effective representation for compression purposes. In particular, we analyze the effect of a scalar uniform quantization in an adaptive multiresolution analysis based on a lifting implementation. We provide conditions for recovering the original decisions at synthesis and we provide expressions that relate the reconstruction error to the quantization error. Such an analysis is essential for the application of our adaptive decompositions in lossy image compression algorithms.

Keywords

data compression; image coding; image reconstruction; image representation; quantisation (signal); wavelet transforms; adaptive decomposition; adaptive multiresolution analysis; adaptive wavelet quantization; decision recovery; image representation; lifting implementation; lossy image compression algorithms; quantization error; reconstruction error; scalar uniform quantization; Algorithm design and analysis; Error analysis; Filters; Image analysis; Image coding; Image reconstruction; Multiresolution analysis; Quantization; Signal synthesis; Tensile stress;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2004. MWSCAS '04. The 2004 47th Midwest Symposium on

Print_ISBN

0-7803-8346-X

Type

conf

DOI

10.1109/MWSCAS.2004.1354179

Filename

1354179