Extension of proposed family of one-dimensional continuous wavelets to two-dimensional continuous wavelets
Downloads
DOI:
https://doi.org/10.26637/MJM0803/0027Abstract
In this paper, the two-dimensional continuous wavelets are introduced by extending the proposed family of one-dimensional continuous wavelets. The efficiency in detecting singularity, edges and contours of an image are discussed using these wavelets.
Keywords:
Two-dimensional continuous wavelet transform, directional wavelets, edge detectionMathematics Subject Classification:
Mathematics- Pages: 893-897
- Date Published: 01-07-2020
- Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
Addison, Paul S, The Illustrated Wavelet Transform handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance, CRC press, 2017.
J-P. Antoine, P. Carrette, R. Murenzi and B. Piette, Image analysis with two-dimensional continuous wavelet transform, Signal processing, 31(3)(1993), 241-272.
A. Gholizad and H. Safari, Two-dimensional continuous wavelet transform method for multidamage detection of space structures, Journal of Performance of Constructed Facilities, 30(6)(2016).
C. Gonnet and B. Torresani, Local frequency analysis with two-dimensional wavelet transform, Signal Processing, 37(3)(1994), 389-404.
Khalil Ahmad, Firdous Ahmad Shah, Introduction to Wavelet Analysis with Applications, Anshan Publishers, 2009.
Stéphane Mallat and Wen Liang Hwang, Singularity detection and processing with wavelets, IEEE transactions on information theory, 38(2)(1992), 617-643.
Stéphane Mallat and Sifen Zhong, Characterization of signals from multiscale edges, IEEE Transactions on Pattern Analysis & Machine Intelligence, 7(1992), 710732.
Stéphane Mallat, , A Wavelet Tour of Signal Processing, Elsevier, 1999.
MD Rayeezuddin, G Narsimulu and BK Reddy, On comparison of some properties of proposed continuous wavelets with existing one, International Journal of Pure and Applied Mathematics, 118(1)(2018), 87.
Rucka M and Wilde k, Application of continuous wavelet transform in vibration based damage detection method for beams and plates, J Sound Vib, 297(2006), 536-550.
J. Schmeelk, Wavelet transforms on two-dimensional images, Mathematical and computer modelling, 36(2002), 939-948.
N Wang, Chungu Lu, Two-dimensional continuous wavelet analysis and its application to meteorological data, Journal of atmospheric and oceanic technology, 27(4)(2010), 652-666.
W. Xu , M. Radzieński, Ostachowicz W and Cao M, Damage detection in plates using two-dimensional directional Gaussian wavelets and laser scanned operating deflection shapes, Structural Health Monitoring, 12(2013), 457468.
- NA
Similar Articles
- Mohiddin Shaw Shaik, Nagaraju Dasari, Neha Gahlot, An annotation on the prime graph of an integral domain , Malaya Journal of Matematik: Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.