Convolution and the Fourier Transform: Math! (in pictures!!)

Do you want to understand how GPS or cell phones work? MP3 or JPEG compression? Are you playing with image processing? Solving PDEs? Learning about how to process ice-penetrating radar data used for studying Antarctica? (errrr...that's me.) Convolution and the Fourier transform are mathematical...

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Bibliographic Details
Main Author: Lindzey, Laura
Format: Article in Journal/Newspaper
Language:English
Published: Confreaks, LLC 2016
Subjects:
Online Access:https://dx.doi.org/10.5446/38546
https://av.tib.eu/media/38546
Description
Summary:Do you want to understand how GPS or cell phones work? MP3 or JPEG compression? Are you playing with image processing? Solving PDEs? Learning about how to process ice-penetrating radar data used for studying Antarctica? (errrr...that's me.) Convolution and the Fourier transform are mathematical tools that make all of these possible. I think that the way these tools are usually presented is intimidating and non-intuitive. I think in pictures, not equations, so this talk attempts to give a graphical intuition of what these techniques actually do and where they can be useful, with examples from my own work.