Approximation-theoretical analysis of translation invariant wavelet expansions

Research output: Contribution to conferencePaper

Abstract

It has been observed from image denoising experiments that translation invariant (TI) wavelet transforms often outperform orthogonal wavelet transforms. This paper compares the two transforms from the viewpoint of approximation theory, extending previous results based on Haar wavelets. The advantages of the TI expansion over orthogonal expansion are twofold: the TI expansion produces smaller approximation error when approximating a smooth function, and it mitigates Gibbs artifacts when approximating a discontinuous function.

Original languageEnglish (US)
Pages622-625
Number of pages4
StatePublished - Jan 1 2001
EventIEEE International Conference on Image Processing (ICIP) 2001 - Thessaloniki, Greece
Duration: Oct 7 2001Oct 10 2001

Other

OtherIEEE International Conference on Image Processing (ICIP) 2001
CountryGreece
CityThessaloniki
Period10/7/0110/10/01

ASJC Scopus subject areas

  • Hardware and Architecture
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Approximation-theoretical analysis of translation invariant wavelet expansions'. Together they form a unique fingerprint.

  • Cite this

    Liu, J., & Moulin, P. (2001). Approximation-theoretical analysis of translation invariant wavelet expansions. 622-625. Paper presented at IEEE International Conference on Image Processing (ICIP) 2001, Thessaloniki, Greece.