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The generalized matrix product and the wavelet transform (1993)

Zhu, Huixia ; Ritter, Gerhard X.

Springer

Journal of mathematical imaging and vision 3 (1993), S. 95-104

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ISSN: 1573-7683

Keywords: Fourier—wavelet matrix expansion ; generalized matrix product ; p-product ; wavelet transform

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract This paper provides a new formulation of wavelet transforms in terms of generalized matrix products. After defining the generalized matrix product, a fast algorithm using parallelism for compactly supported wavelet transforms that satisfym-scale scaling equations form ≥ 2 is established. Several special examples, such as the Fourier-wavelet matrix expansion and wavelet decompositions and reconstructions, that demonstrate that the new formulation and algorithm offer unique advantages over existing wavelet algorithms are provided.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01248405

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