NAG Library Function Document

nag_idwt_3d (c09fbc)

1  Purpose

2  Specification

3  Description

4  References

5  Arguments

1:    $\mathbf{m}$ – IntegerInput

On entry: the number of rows of each two-dimensional frame.

Constraint: this must be the same as the value m passed to the initialization function nag_wfilt_3d (c09acc).

2:    $\mathbf{n}$ – IntegerInput

On entry: the number of columns of each two-dimensional frame.

Constraint: this must be the same as the value n passed to the initialization function nag_wfilt_3d (c09acc).

3:    $\mathbf{fr}$ – IntegerInput

On entry: the number two-dimensional frames.

Constraint: this must be the same as the value fr passed to the initialization function nag_wfilt_3d (c09acc).

4:    $\mathbf{lenc}$ – IntegerInput

On entry: the dimension of the array c.

Constraint: $\mathbf{lenc}\ge n_{\mathrm{ct}}$, where $n_{\mathrm{ct}}$ is the total number of wavelet coefficients, as returned by nag_wfilt_3d (c09acc).

5:    $\mathbf{c}\left[\mathbf{lenc}\right]$ – const doubleInput

On entry: the coefficients of the discrete wavelet transform. This will normally be the result of some transformation on the coefficients computed by function nag_dwt_3d (c09fac).

Note that the coefficients in c may be extracted according to type into three-dimensional arrays using nag_wav_3d_coeff_ext (c09fyc), and inserted using nag_wav_3d_coeff_ins (c09fzc).

6:    $\mathbf{b}\left[\mathit{dim}\right]$ – doubleOutput

Note: the dimension, dim, of the array b must be at least $\mathbf{ldb}\times \mathbf{sdb}\times \mathbf{fr}$.

On exit: the $m$ by $n$ by $\mathit{fr}$ reconstructed array, $B$, with $B_{ijk}$ stored in $\mathbf{b}\left[\left(k-1\right)\times \mathbf{ldb}\times \mathbf{sdb}+\left(j-1\right)\times \mathbf{ldb}+i-1\right]$. The reconstruction is based on the input wavelet coefficients and the transform options supplied to the initialization function nag_wfilt_3d (c09acc).

7:    $\mathbf{ldb}$ – IntegerInput

On entry: the stride separating row elements of each of the sets of frame coefficients in the three-dimensional data stored in b.

Constraint: $\mathbf{ldb}\ge \mathbf{m}$.

8:    $\mathbf{sdb}$ – IntegerInput

On entry: the stride separating corresponding coefficients of consecutive frames in the three-dimensional data stored in b.

Constraint: $\mathbf{sdb}\ge \mathbf{n}$.

9:    $\mathbf{icomm}\left[260\right]$ – const IntegerCommunication Array

On entry: contains details of the discrete wavelet transform and the problem dimension as setup in the call to the initialization function nag_wfilt_3d (c09acc).

10:  $\mathbf{fail}$ – NagError *Input/Output

The NAG error argument (see Section 3.6 in the Essential Introduction).

6  Error Indicators and Warnings

NE_ALLOC_FAIL

Dynamic memory allocation failed.
See Section 3.2.1.2 in the Essential Introduction for further information.

NE_BAD_PARAM

On entry, argument $〈\mathit{\text{value}}〉$ had an illegal value.

NE_INITIALIZATION

Either the communication array icomm has been corrupted or there has not been a prior call to the initialization function nag_wfilt_3d (c09acc).

The initialization function was called with $\mathbf{wtrans}=\mathrm{Nag\_MultiLevel}$.

NE_INT

On entry, $\mathbf{fr}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{fr}=〈\mathit{\text{value}}〉$, the value of fr on initialization (see nag_wfilt_3d (c09acc)).

On entry, $\mathbf{m}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{m}=〈\mathit{\text{value}}〉$, the value of m on initialization (see nag_wfilt_3d (c09acc)).

On entry, $\mathbf{n}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{n}=〈\mathit{\text{value}}〉$, the value of n on initialization (see nag_wfilt_3d (c09acc)).

NE_INT_2

On entry, $\mathbf{ldb}=〈\mathit{\text{value}}〉$ and $\mathbf{m}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{ldb}\ge \mathbf{m}$.

On entry, $\mathbf{lenc}=〈\mathit{\text{value}}〉$ and $n_{\mathrm{ct}}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{lenc}\ge n_{\mathrm{ct}}$, where $n_{\mathrm{ct}}$ is the number of DWT coefficients returned by nag_wfilt_3d (c09acc) in argument nwct.

On entry, $\mathbf{sdb}=〈\mathit{\text{value}}〉$ and $\mathbf{n}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{sdb}\ge \mathbf{n}$.

NE_INTERNAL_ERROR

An internal error has occurred in this function. Check the function call and any array sizes. If the call is correct then please contact NAG for assistance.

An unexpected error has been triggered by this function. Please contact NAG.
See Section 3.6.6 in the Essential Introduction for further information.

NE_NO_LICENCE

Your licence key may have expired or may not have been installed correctly.
See Section 3.6.5 in the Essential Introduction for further information.

7  Accuracy

8  Parallelism and Performance

9  Further Comments

10  Example