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BUILT-IN MATHEMATICA SYMBOL
WaveletMapIndexed
WaveletMapIndexed[f, wd]
applies the function f to the arrays of coefficients and indices of a ContinuousWaveletData or DiscreteWaveletData object.
WaveletMapIndexed[f, dwd, wind]
applies f to the DiscreteWaveletData coefficients specified by wind.
WaveletMapIndexed[f, cwd, octvoc]
applies f to the ContinuousWaveletData coefficients specified by octvoc.
Details
- WaveletMapIndexed takes a ContinuousWaveletData or DiscreteWaveletData object and returns an object of the same type.
- For dwd with coefficients
, WaveletMapIndexed[f, dwd] effectively corresponds to DiscreteWaveletData[{wind1->f[coef1, wind1], ...}, ...]. - For cwd with coefficients
, WaveletMapIndexed[f, cwd] effectively corresponds to ContinuousWaveletData[{{oct1, voc1}->f[coef1, {oct1, voc1}], ...}, ...]. - Each
should return an array or Image of the same dimensions as 
. - For Sound and SampledSoundList, each
is given as a list of vectors, each corresponding to a channel of sound samples. - The wavelet index convention is the same as explained in ContinuousWaveletData and DiscreteWaveletData.
Examplesopen all
Basic Examples (2)
Rescale all coefficients of a discrete wavelet transform by 20:
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Normal gives the array of coefficients:
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Compare with the unmodified coefficients:
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Amplify the 
coefficient of the stationary wavelet transform of an image:
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| Out[1]= |  |
| In[2]:= |
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The inverse wavelet transform gives an image with vertical edges sharpened:
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