cplxdual2D: Dual-tree Complex 2D Discrete Wavelet Transform

In waveslim: Basic Wavelet Routines for One-, Two-, and Three-Dimensional Signal Processing

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)

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.

Value

For the analysis of x, the output is

w	wavelet coefficients indexed by [[j]][[i]][[d1]][[d2]], where j=1,…,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.

Author(s)

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

See Also

FSfarras, farras, afb2D, sfb2D.

Examples

## Not run: 
## 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))

## End(Not run)

waveslim documentation built on Aug. 14, 2022, 5:07 p.m.