FWT2_TI {rwavelet}

2-d Translation Invariant Forward Wavelet Transform

Description

1. qmf filter may be obtained from MakeONFilter. 2. usually, length(qmf) < 2^(L+1). 3. To reconstruct use IWT_TI.

Usage

FWT2_TI(x, L, qmf)

Arguments

x

2-d image (n by n real array, n dyadic).

L

degree of coarsest scale.

qmf

orthonormal quadrature mirror filter.

Value

TIWT translation-invariant wavelet transform table, (3(J-L)+1)n by n.

Examples

x <- matrix(rnorm(2^2), ncol=2)
L <- 0
qmf <- MakeONFilter('Haar')
TIWT <- FWT2_TI(x, L, qmf)