waveslim (version 1.8.5)

cplxdual2D: Dual-tree Complex 2D Discrete Wavelet Transform

Description

Dual-tree complex 2D discrete wavelet transform (DWT).

Usage

cplxdual2D(x, J, Faf, af)
icplxdual2D(w, J, Fsf, sf)

Value

For the analysis of x, the output is

w

wavelet coefficients indexed by [[j]][[i]][[d1]][[d2]], where \(j=1,\ldots,J\) (scale), \(i=1\) (real part) or \(i=2\) (imag part), \(d1=1,2\) and \(d2=1,2,3\) (orientations).

For the synthesis of w, the output is

y

output signal.

Arguments

x

2D array.

J

number of stages.

Faf

first stage analysis filters for tree i.

af

analysis filters for the remaining stages on tree i.

w

wavelet coefficients.

Fsf

last stage synthesis filters for tree i.

sf

synthesis filters for the preceeding stages.

Author

Matlab: S. Cai, K. Li and I. Selesnick; R port: B. Whitcher

See Also

FSfarras, farras, afb2D, sfb2D.

Examples

if (FALSE) {
## EXAMPLE: cplxdual2D
x = matrix(rnorm(32*32), 32, 32)
J = 5
Faf = FSfarras()$af
Fsf = FSfarras()$sf
af = dualfilt1()$af
sf = dualfilt1()$sf
w = cplxdual2D(x, J, Faf, af)
y = icplxdual2D(w, J, Fsf, sf)
err = x - y
max(abs(err))
}