3 ms·
FTA: "... any wavelet can be reconstructed by adding together a finite series of identical wavelets squashed to fractions of its initial width: a half, then a f
by d0mdo0ss 6y ago
FTA: "... any wavelet can be reconstructed by adding together a finite series of identical wavelets squashed to fractions of its initial width: a half, then a fourth, then an eighth and so on."
I may not follow or there's a typo above. Should the first 'wavelet' be replaced with function/signal/distribution/etc?
this sounds a lot like a taylor or fourier analysis
- mhh__ 6y agoA wavelet is a well-defined mathematical idea, not a euphemism for any old function. https://en.wikipedia.org/wiki/Wavelet https://en.wikipedia.org/wiki/Wavelet
- TheOtherHobbes 6y agoWavelets are basically a generalisation of Fourier with an arbitrary basis function which can be selected to highlight/match specific features in the data. They've been used in image filtering for a long time. I remember a wavelet-based grain removal and denoising plugin for Photoshop from around 15 years ago. In this work I suspect that trying to implement wavelets in an audio editor - which generates some useful but slightly quirky representations and editing options - cued the realisation they could be applied to stochastic PDEs.
- deleted 6y ago[deleted]
- chewbaxxa 6y agoYour comment is grey, but I think you’re right.