Int-Haar: Improving Precision of the Haar Interval Wavelet Extension

Author

Dos Santos, Vinicius R. ; Pilla, Manyam ; Reiser, R. ; Kozakevicius, Alice

Author_Institution

Centre for Technol. Dev. (CDTec), Fed. Univ. of Pelotas (UFPEL), Pelotas, Brazil

fYear

2013

Firstpage

92

Lastpage

96

Abstract

This work describes the interval extension of the Haar Wavelet Transform (HWT), implemented with C-XSC, being the first step on the development of the Int-DWTs library, which will provide interval results for several Discrete Wavelet Transforms (DWTs). Optimizations for the normalized formulation of the 1D and 2D transforms in order to increase the accuracy of the results are also presented. In this work, 1D and 2D applications are addressed, as well as the error analysis of the different interval formulations studied for the transformations.

Keywords

Haar transforms; discrete wavelet transforms; error analysis; optimisation; 1D transform; 2D transform; HWT; Haar interval wavelet extension; Haar wavelet transform; Int-DWTs library; Int-Haar library; discrete wavelet transforms; error analysis; interval formulations; optimizations; Algorithm design and analysis; Discrete wavelet transforms; Libraries; Optimization; Standards; Discrete wavelet transform; Haar transform; Int-DWTs library; Int-Haar library; interval techniques; optimization procedure;

fLanguage

English

Publisher

ieee

Conference_Titel

Theoretical Computer Science (WEIT), 2013 2nd Workshop-School on

Conference_Location

Rio Grande

Type

conf

DOI

10.1109/WEIT.2013.16

Filename

6778572