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If wc is the result of a forward 2d wavelet transform, with wc <- FTWT2_PO(x,L,qmf), then x <- ITWT2_PO(wc,L,qmf) reconstructs x exactly. qmf is a nice qmf, e.g. one made by MakeONFilter.
wc
wc <- FTWT2_PO(x,L,qmf)
x <- ITWT2_PO(wc,L,qmf)
x
qmf
MakeONFilter
ITWT2_PO(wc, L, qmf)
2-d wavelet transform (n by n array, n dyadic).
coarse level.
quadrature mirror filter.
x 2-d signal reconstructed from wc.
FTWT2_PO, MakeONFilter.
FTWT2_PO
# NOT RUN { qmf <- MakeONFilter('Daubechies', 10) L <- 0 x <- matrix(rnorm(2^2), ncol=2) wc <- FTWT2_PO(x, L, qmf) xr <- ITWT2_PO(wc,L,qmf) # }
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