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 language | English (US) |
|---|---|
| Pages | 622-625 |
| Number of pages | 4 |
| State | Published - 2001 |
| Event | IEEE International Conference on Image Processing (ICIP) 2001 - Thessaloniki, Greece Duration: Oct 7 2001 → Oct 10 2001 |
Other
| Other | IEEE International Conference on Image Processing (ICIP) 2001 |
|---|---|
| Country/Territory | Greece |
| City | Thessaloniki |
| Period | 10/7/01 → 10/10/01 |
ASJC Scopus subject areas
- Hardware and Architecture
- Computer Vision and Pattern Recognition
- Electrical and Electronic Engineering