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• W2156877470 abstract "We present in this paper a novel way to adapt a multidimensional wavelet filter bank, based on the nonseparable lifting scheme framework, to any specific problem. It allows the design of filter banks with a desired number of degrees of freedom, while controlling the number of vanishing moments of the primal wavelet (mathtilde <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>N¿</i> moments) and of the dual wavelet ( <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>N¿</i> moments). The prediction and update filters, in the lifting scheme based filter banks, are defined as Neville filters of order mathtilde <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>N¿</i> and <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>N¿</i> , respectively. However, in order to introduce some degrees of freedom in the design, these filters are not defined as the simplest Neville filters. The proposed method is convenient: the same algorithm is used whatever the dimensionality of the signal, and whatever the lattice used. The method is applied to content-based image retrieval (CBIR): an image signature is derived from this new adaptive nonseparable wavelet transform. The method is evaluated on four image databases and compared to a similar CBIR system, based on an adaptive separable wavelet transform. The mean precision at five of the nonseparable wavelet based system is notably higher on three out of the four databases, and comparable on the other one. The proposed method also compares favorably with the dual-tree complex wavelet transform, an overcomplete nonseparable wavelet transform." @default.
• W2156877470 created "2016-06-24" @default.
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• W2156877470 date "2010-01-01" @default.
• W2156877470 modified "2023-10-18" @default.
• W2156877470 title "Adaptive Nonseparable Wavelet Transform via Lifting and its Application to Content-Based Image Retrieval" @default.
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• W2156877470 doi "https://doi.org/10.1109/tip.2009.2030479" @default.
• W2156877470 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/19695999" @default.
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