Fast calculation of continuous wavelet transform using polynomial

Masako Omachi, Shinichiro Omachi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper proposes an efficient calculation method of the continuous wavelet transform (CWT) at various scales. In the proposed method, the mother wavelet is represented by a polynomial. Then an efficient incremental algorithm for calculating the convolutions necessary for CWT using the polynomial is presented. Experimental results using two-dimensional data clarifies that the proposed method is much faster than the traditional methods.

Original languageEnglish
Title of host publicationProceedings of the 2007 International Conference on Wavelet Analysis and Pattern Recognition, ICWAPR '07
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1688-1691
Number of pages4
ISBN (Print)1424410665, 9781424410668
DOIs
Publication statusPublished - 2007 Jan 1
Event2007 International Conference on Wavelet Analysis and Pattern Recognition, ICWAPR '07 - Beijing, China
Duration: 2007 Nov 22007 Nov 4

Publication series

NameProceedings of the 2007 International Conference on Wavelet Analysis and Pattern Recognition, ICWAPR '07
Volume4

Other

Other2007 International Conference on Wavelet Analysis and Pattern Recognition, ICWAPR '07
CountryChina
CityBeijing
Period07/11/207/11/4

Keywords

  • Fast calculation
  • Mother wavelet
  • Polynomial
  • Wavelet transform

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Vision and Pattern Recognition
  • Signal Processing
  • Numerical Analysis

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