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Title: A fast and efficient computational structure for the 2D over-complete wavelet transform
Authors: Law, Ngai-fong Bonnie
Siu, Wan-chi
Subjects: Wavelet transform
Computational complexity
Issue Date: 2003
Publisher: IEEE
Source: 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing : proceedings : April 6-10, 2003, Hong Kong Exhibition and Convention Centre, Hong Kong, p. III309-III312
Abstract: We studied the computational complexity of the over-complete wavelet representation for the commonly used Spline wavelet family with an arbitrary order. By deriving a general expression for the complexity, it is shown that the inverse transform is significantly more costly in computation than the forward transform. In order to reduce the computational complexity, a new spatial implementation is proposed. This new implementation exploits the redundancy between the lowpass and the bandpass outputs that is inherent to the over-complete wavelet scheme. It is shown that the new implementation can greatly simplify the computations, give an efficient inverse structure and allow the use of an arbitrary boundary extension method without affecting the ease of the inverse transform.
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Type: Conference Paper
ISBN: 0-7803-7663-3
Appears in Collections:EIE Conference Papers & Presentations

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