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cplxdual

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.
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.

Author(s)

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

References

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

See Also

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

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

v1.8.2
BSD_3_clause + file LICENSE
Authors
Brandon Whitcher
Initial release
2020-02-13

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