int QccWAVWaveletDWT2D(QccMatrix matrix, int num_rows,
int num_cols, int origin_row, int origin_col, int subsample_pattern_row,
int subsample_pattern_col, int num_scales, const QccWAVWavelet *wavelet);
int QccWAVWaveletInverseDWT2D(QccMatrix matrix, int num_rows, int num_cols,
int origin_row, int origin_col, int subsample_pattern_row, int subsample_pattern_col,
int num_scales, const QccWAVWavelet *wavelet);
QccWAVWaveletInverseDWT2D() performs the corresponding separable 2D inverse DWT of matrix which is assumed to have been produced by QccWAVWaveletDWT2D(). num_scales gives the number of levels of decomposition that exist in matrix. QccWAVWaveletInverseDWT2D() calls QccWAVWaveletSynthesis2D(3) for each level of synthesis.
subsample_pattern_row and subsample_pattern_col indicate the even- or odd-phase subsampling to be used at each level of row and column decomposition. In most applications, even subsampling at all levels is desired, in which case both subsample_pattern_row and subsample_pattern_col should be set to zero. In more general settings, when some mixture of even- and odd-phase subsampling is desired, subsample_pattern_row and subsample_pattern_col can be integers between 0 and (2 ^ num_levels) - 1. In these integers, the jth bit (where j = 1 is the least-significant bit) indicates whether the jth level of decomposition employs even or odd subsampling (0 = even, 1 = odd). For example, if subsample_pattern_row is 5, then the first and third row decompositions use odd-phase subsampling, while all others use even subsampling.
Use QccWAVSubbandPyramidDWT(3) and QccWAVSubbandPyramidInverseDWT(3) to perform a 2D separable DWT or inverse DWT on a QccWAVSubbandPyramid data structure (which is the recommended way to do it, since the QccWAVSubbandPyramid structure stores the number of levels of decomposition along with the transform coefficients).
M. Antonini, M. Barlaud, P. Mathieu, and I. Daubechies, "Image Coding Using Wavelet Transform," IEEE Transactions on Image Processing, vol. 1, pp. 205-220, April 1992.
I. Daubechies and W. Sweldens, "Factoring Wavelet Transforms Into Lifting Steps," J. Fourier Anal. Appl., vol. 4, no. 3, pp. 245-267, 1998.