Wavelet for multidimensional signals analysis: Difference between revisions

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Applying the 1-D DWT analysis filterbank in dimension {{math|N1}}, it is now split into two chunks of size {{math| {{frac|N1|2}} × N2 × N3}}. Applying 1-D DWT in {{math|N2}} dimension, each of these chunks is split into two more chunks of {{math|{{frac|N1|2}} × {{frac|N2|2}} × N3}}. This repeated in 3-D gives a total of 8 chunks of size {{math| {{frac|N1|2}} × {{frac|N2|2}} × {{frac|N3|2}}}}. The first chunk is passed via a low pass filter in each of these dimensions and the second one via high-pass.
[[File:Filterbank.pdf|thumbnailframed|The figure shows the 3-D analysis filterbank for 3-D separable DWT]]
[[File:Filterbank mod try 2.001.png|1024X1000px|framed|The figure shows the 3-D analysis filterbank for 3-D separable DWT]]