Classifying the smoothness of images: theory and applications to wavelet image processing

Author

DeVore, Ronald A. ; Lucier, Bradley J.

Author_Institution

Dept. of Math., South Carolina Univ., Columbia, SC, USA

Volume

2

fYear

1994

fDate

13-16 Nov 1994

Firstpage

6

Abstract

Devore, Jawerth, and Lucier (1992) introduced a definition of the smoothness of images that is directly related to the performance of wavelet compression schemes. The present authors survey previous results on the equivalence between smoothness, rate of decay of the wavelet coefficients, and efficiency of wavelet compression techniques applied to images. They report on other applications including deciding how many pixel quantization intervals are needed to preserve smoothness, and the fast solution of variational problems that arise naturally in several areas of image processing

Keywords

data compression; image classification; image coding; image texture; quantisation (signal); variational techniques; wavelet transforms; classification; compression; efficiency; image processing; pixel quantization intervals; rate of decay; smoothness; variational problems; wavelet coefficient; wavelet image processing; Compression algorithms; Image coding; Image processing; Image reconstruction; Information theory; Mathematics; Pixel; Quantization; Size measurement; Wavelet coefficients;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 1994. Proceedings. ICIP-94., IEEE International Conference

Conference_Location

Austin, TX

Print_ISBN

0-8186-6952-7

Type

conf

DOI

10.1109/ICIP.1994.413520

Filename

413520