waveslim (version 1.4)

Dualtree Complex: Dual-tree Complex 2D Discrete Wavelet Transform

Usage

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

Arguments

x

2D array.

w

wavelet coefficients.

J

number of stages.

Faf

first stage analysis filters for tree $i$.

af

analysis filters for the remaining stages on tree $i$.

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.

References

WAVELET SOFTWARE AT POLYTECHNIC UNIVERSITY, BROOKLYN, NY http://taco.poly.edu/WaveletSoftware/

See Also

FSfarras, farras, afb2D, sfb2D.

Examples

## 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))