An introduction to the wavelet transform (and how to draw with them!)

The wavelet transform allows to change our point of view on a signal. The important information is condensed in a smaller space, allowing to easily compress or filter the signal. A lot of approximations are made in this video, like a lot of missing √2 factors. This choice was made to keep things as simple as possible. You may also notice some oral mistakes, like saying transformation instead transform for example. And sorry for the English pronunciation, it's not my native language! ;) The drawings presented at the end of the video were realized in the context of a scholar project (INSA Toulouse/ENSEEIHT). Participants of the project were Ayoub Alkarim, Benjamin Drai, Sebastian Legrand and myself, under the supervision of Charles Dossal. Link to the 3b1b video presented in the introduction about drawing with the Fourier transform: https://youtu.be/r6sGWTCMz2k The complex wavelet coefficients are extracted from the paper "Complex Daubechies Wavelets" available at https://www.sciencedirect.com/science/article/pii/S1063520385710159 All animations have been realized using the python library ManimCE, a community-maintained fork of the Manim library developed by 3b1b. https://docs.manim.community/en/stable/index.html https://github.com/ManimCommunity/manim This was my first video using Manim, any feedback would be appreciated! All the code is available on GitHub: https://github.com/leleogere/manim-projects/tree/main/wavelet_transform I composed the music specifically for this video. This video is my entry to the 3b1b's SoME1 competition.