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- W2143143864 abstract "Three dimensional-discrete wavelet transform (3D-DWT) shows its advantages in the volumetric data compression. Some algorithms and architectures have been proposed for the 3D-DWT, but most of them perform the transform by applying three separate 1D transforms, or by applying inter-frame transform and spatial transform separately. In this paper, we choose 9/7 filter along the three directions to do the transform based on lifting scheme. Using multilinear algebra (L.D. Lathauwer, 1997), this paper let Xn operation stand for a high order tensor's linear transform in its nth dimension. Then we successfully extend spatial combinative lifting algorithm (SCLA)(H. Meng and Z. Wang, 2000) to its 3D application. Matrices A,B,C,D,E for lifting algorithm of 9/1 filter (H. Meng and Z. Wang, 2000) can be multiplied step by step to get the final result of one level decomposition of 3D-DWT. The operation on matrix A could be represented as X1A X2A X3A." @default.
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- W2143143864 date "2008-03-01" @default.
- W2143143864 modified "2023-09-27" @default.
- W2143143864 title "A Three Dimensional Combinative Lifting Algorithm for Wavelet Transform Using 9/7 Filter" @default.
- W2143143864 cites W2048582401 @default.
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- W2143143864 doi "https://doi.org/10.1109/dcc.2008.20" @default.
- W2143143864 hasPublicationYear "2008" @default.
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