VLSI implementation of shape-adaptive discrete wavelet transform

In this paper, several VLSI architectures and implementations of Shape-Adaptive Discrete Wavelet Transform (SADWT) with odd symmetric biorthogonal filters are presented. The hardware implementation issues of SA-DWT algorithm are first addressed, and one lifting scheme together with some appropriate shape information processing units is introduced for the 1-D SA-DWT architectures. These architectures can efficiently perform 1-D length-adaptive DWT on continuous line segments and solve the corresponding boundary extension and subsampling problems without any overhead. In addition to 1-D architectures, two 2-D SA-DWT architectures are also proposed. One is the direct method, which uses the 1-D SA-DWT architectures as basis to extend to 2-D SA-DWT by direct row-column approach. The other is the line-based method, which is an efficient and feasible architecture that uses internal line buffers rather than external frame memory. These two 2-D SA-DWT architectures are both VLSI implemented by using cell-based chip design flow. The Daubechies (9,7) filter is used for the implementation by direct method, and the Daubechies (9,3) filter is used for the line-based implementation. The proposed architectures can be applied both in arbitrarily shaped visual objects coding such as MPEG-4 still texture coding and rectangular region image coding such as JPEG2000 still image coding.