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, 2011 Wavelet theory lies on the crossroad of pure and computational mathematics, with connections to audio and video signal processing, data compression, and information transmission. The present book is devoted to a systematic exposition of modern wavelet theory.
Novikov Igor +2 more
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Wavelet Trees: From Theory to Practice
2011 First International Conference on Data Compression, Communications and Processing, 2011The \emph{wavelet tree} data structure is a space-efficient technique for rank and select queries that generalizes from binary characters to an arbitrary multicharacter alphabet. It has become a key tool in modern full-text indexing and data compression because of its capabilities in compressing, indexing, and searching.
GROSSI, ROBERTO, J. S. Vitter, B. Xu
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Wavelet Theory and Application Summarizing
2011The wavelet analysis is the development based on Fourier transform. And it is a breakthrough of the Fourier analysis. The paper reviews the development history of wavelet analysis. Then it discusses the similarities and differences of Fourier transform and wavelet theory.
Hong-Yu Feng +3 more
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The Theory and Use of the Quaternion Wavelet Transform
Journal of Mathematical Imaging and Vision, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Theory of Dual-Tree Complex Wavelets
IEEE Transactions on Signal Processing, 2008We study analyticity of the complex wavelets in Kingsbury's dual-tree wavelet transform. A notion of scaling transformation function that defines the relationship between the primal and dual scaling functions is introduced and studied in detail. The analyticity property is examined and dealt with via the transformation function. We separate analyticity
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