Wavelet image denoising

denoises the grayscale or RGB image `IMDEN`

= wdenoise2(`IM`

)`IM`

using an empirical Bayesian
method. The `bior4.4`

wavelet is used with a posterior median threshold
rule. Denoising is down to the minimum of `floor(log2([M N]))`

and
`wmaxlev([M N],'bior4.4')`

where `M`

and
`N`

are the row and column sizes of the image.
`IMDEN`

is the denoised version of `IM`

.

For RGB images, by default, `wdenoise2`

projects the image onto its
principle component analysis (PCA) color space before denoising. To denoise an RGB image
in the original color space, use the `ColorSpace`

name-value
pair.

denoises the image `IMDEN`

= wdenoise2(`IM`

,`LEVEL`

)`IM`

down to resolution level
`LEVEL`

. `LEVEL`

is a positive integer less than
or equal to `floor(log2(min([M N])))`

where `M`

and
`N`

are the row and column sizes of the image. If unspecified,
`LEVEL`

defaults to the minimum ```
floor(log2(min([M
N])))
```

and `wmaxlev([M N],`

where
*wname*)*wname* is the wavelet used (`'bior4.4'`

by
default).

`[`

returns the scaling and denoised wavelet coefficients in `IMDEN`

,`DENOISEDCFS`

] = wdenoise2(___)`DENOISEDCFS`

using any of the preceding syntaxes.

`[`

returns the scaling and wavelet coefficients of the input image in
`IMDEN`

,`DENOISEDCFS`

,`ORIGCFS`

] = wdenoise2(___)`ORIGCFS`

using any of the preceding syntaxes.

`[`

returns the sizes of the approximation coefficients at the coarsest scale along with the
sizes of the wavelet coefficients at all scales. `IMDEN`

,`DENOISEDCFS`

,`ORIGCFS`

,`S`

] = wdenoise2(___)`S`

is a matrix with
the same structure as the `S`

output of `wavedec2`

.

`[`

returns the shifts along the row and column dimensions for cycle spinning.
`IMDEN`

,`DENOISEDCFS`

,`ORIGCFS`

,`S`

,`SHIFTS`

] = wdenoise2(___)`SHIFTS`

is
2-by-`(numshifts+1)`

matrix where each
column of ^{2}`SHIFTS`

contains the shifts along the row and column
dimension used in cycle spinning and `numshifts`

is the value of
`CycleSpinning`

.

`[___] = wdenoise2(___,`

returns the denoised image with additional options specified by one or more
`Name,Value`

)`Name,Value`

pair arguments, using any of the preceding
syntaxes.

`wdenoise2(___)`

with no output arguments plots the
original image along with the denoised image in the current figure.

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[2] Antoniadis, A., and G. Oppenheim,
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Springer Verlag, 1995.

[3] Donoho, D. L. “Progress in
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[4] Donoho, D. L., I. M. Johnstone.
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