Fourier Epicycle Drawing

DFT decomposes any closed curve into rotating circles (epicycles). Watch the reconstruction!

Controls

30
1.0

Spectrum

Amplitude spectrum (DFT coefficients)

Info

Any closed path = sum of rotating vectors.
c_n = (1/T)∫ f(t)e^{−2πint/T} dt
Blue: trace | Green: epicycles