One of the properties mentioned in the literature about the lifting wavelet transform is that it can be applied on irregular meshes or grids (i.e. not equally spaced samples); but I don't seem to see that as an option in LiftingWaveletTransform. Any ideas on how to do that using Mathematica's wavelet analysis tools?
2
$\begingroup$
$\endgroup$
1
$\begingroup$
$\endgroup$
Construct an "irregular grid" with a vertical discontinuity:
a = {{ConstantArray[0, {3, 3}], ConstantArray[1, {3, 5}]}, {ConstantArray[0, {5, 3}],
ConstantArray[1, {5, 5}]}}
Use ArrayFlatten to get a rectangular matrix:
b = ArrayFlatten@a
WaveletMatrixPlot[LiftingWaveletTransform[b]]
-
$\begingroup$ Thanks @eldo, but b is just a
{8,8}array and, therefore, representing a signal/function in a regular grid of $(i/8,j/8)$ points, that is not irregular. $\endgroup$ – carlosayam Jun 22 '14 at 19:47
