Image Compression Using the Overcomplete Discrete Wavelet Transform

Zaciu,; Lamba,; Burlacu,; Nicula,

doi:10.1109/icce.1996.517360

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The Redundant Discrete Wavelet Transform1

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“…The RDWT 1 has a long history, having been independently discovered a number of times and given a number of different names, including the algorithmeà trous [4,5], the undecimated DWT (UDWT) [6], the overcomplete DWT (ODWT) [7], the shift-invariant DWT (SIDWT) [8], and discrete wavelet frames (DWF) [9]. There are several ways to implement the RDWT, and several ways to represent the resulting overcomplete set of coefficients.…”

Section: The Redundant Discrete Wavelet Transformmentioning

confidence: 99%

The redundant discrete wavelet transform and additive noise

Fowler¹

2005

IEEE Signal Process. Lett.

272

145

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Abstract-The behavior under additive noise of the redundant discrete wavelet transform (RDWT), a frame expansion that is essentially an undecimated discrete wavelet transform, is studied. Known prior results in the form of inequalities bound distortion energy in the original signal domain from additive noise in frame-expansion coefficients. In this paper, a precise relationship between RDWT-domain and original-signal-domain distortion for additive white noise in the RDWT domain is derived.Index Terms-redundant wavelet transform, frame expansion, additive noise

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