Balanced spatial and frequency localised 2-D nonseparable wavelet filters

In this paper, we focus on the design of oversampled filter banks and the resulting framelets. The framelets obtained exhibit improved shift invariant properties over decimated wavelet transform. Shift invariance has applications in many areas, particularly denoising, coding and compression. Our contribution here is on filter bank completion. In addition, we propose novel factorization methods to design wavelet filters from given scaling filters.

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Comparative Analysis of Wavelet Filters Using Objective Quality Measures

2009 IEEE International Advance Computing Conference ◽

10.1109/iadcc.2009.4809044 ◽

2009 ◽

Cited By ~ 2

Author(s):

Bhawna Rani ◽

R. K. Bansal ◽

Savina Bansal

Keyword(s):

Comparative Analysis ◽

Quality Measures ◽

Wavelet Filters ◽

Objective Quality

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Digital creation of Chuck Close block-style portraits using wavelet filters

Journal of Mathematics and the Arts ◽

10.1080/17513472.2010.486701 ◽

2010 ◽

Vol 4 (4) ◽

pp. 201-211 ◽

Cited By ~ 3

Author(s):

Edward Aboufadel ◽

Sarah Boyenger ◽

Clara Madsen

Keyword(s):

Wavelet Filters

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A unified framework for the design of low-complexity wavelet filters

International Journal of Wavelets Multiresolution and Information Processing ◽

10.1142/s0219691317500540 ◽

2017 ◽

Vol 15 (06) ◽

pp. 1750054 ◽

Cited By ~ 2

Author(s):

Ameya K. Naik ◽

Raghunath S. Holambe

Keyword(s):

Feature Extraction ◽

Compact Support ◽

Low Complexity ◽

Design Parameters ◽

Unified Framework ◽

Vanishing Moments ◽

Wavelet Filters ◽

Design Variables ◽

Optimum Filter ◽

Simulation Results

An outline is presented for construction of wavelet filters with compact support. Our approach does not require any extensive simulations for obtaining the values of design variables like other methods. A unified framework is proposed for designing halfband polynomials with varying vanishing moments. Optimum filter pairs can then be generated by factorization of the halfband polynomial. Although these optimum wavelets have characteristics close to that of CDF 9/7 (Cohen-Daubechies-Feauveau), a compact support may not be guaranteed. Subsequently, we show that by proper choice of design parameters finite wordlength wavelet construction can be achieved. These hardware friendly wavelets are analyzed for their possible applications in image compression and feature extraction. Simulation results show that the designed wavelets give better performances as compared to standard wavelets. Moreover, the designed wavelets can be implemented with significantly reduced hardware as compared to the existing wavelets.

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