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3-D dual-tree complex wavelet transform

```
[a,d] =
dualtree3(x)
```

```
[a,d] =
dualtree3(x,level)
```

```
[a,d] =
dualtree3(___,Name,Value)
```

```
[a,d] =
dualtree3(___,'excludeL1')
```

`[`

specifies
options using name-value pair arguments in addition to any of the
input arguments in previous syntaxes.`a`

,`d`

] =
dualtree3(___,`Name,Value`

)

`[`

excludes the first-level
wavelet (detail) coefficients. Excluding the first-level wavelet coefficients
can speed up the algorithm and saves memory. The first level does
not exhibit the directional selectivity of levels 2 and higher. The
perfect reconstruction property of the dual-tree wavelet transform
holds only if the first-level wavelet coefficients are included. If
you do not specify this option, or append `a`

,`d`

] =
dualtree3(___,'excludeL1')`'includeL1'`

,
then the function includes the first-level coefficients.

[1] Chen, H., and N. G. Kingsbury. “Efficient Registration
of Nonrigid 3-D Bodies.” *IEEE ^{®} Transactions
on Image Processing*. Vol 21, January 2012, pp. 262–272.

[2] Kingsbury, N. G. “Complex Wavelets for Shift Invariant
Analysis and Filtering of Signals.” *Journal of Applied
and Computational Harmonic Analysis*. Vol. 10, May 2001,
pp. 234–253.

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