Did you know a smooth curve can be broken down into simpler waves?
Fourier series
Did you know a smooth curve can be broken down into simpler waves?
Imagine you're trying to smooth out a rough, wavy path in a park. You want to make it as smooth as possible for a walking trail.
Think of the path as a complex wave pattern. By breaking it down into simpler wave patterns like sine and cosine waves, you can reconstruct the original path more smoothly.
Example
If the rough path looks like a jagged line, breaking it into sine and cosine waves can help smooth out the bumps and dips.
Remember this
Fourier series allow us to decompose complex wave patterns into simpler ones, making it easier to smooth out rough paths.
Text adapted from Wikipedia, licensed under CC BY-SA 4.0.
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