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  • Fourier series and Discrete Fourier transform
  • Geometric interpretation
  • Fourier series and epicycles
  • Approximating curves
  • Epicycles tracing out closed curves
  • GGB Script

Fourier series and Discrete Fourier transform

Author:
Juan Carlos Ponce Campuzano
A set of animation showing a geometric representation of the the Discrete Fourier Transform and how to use it to draw closed curves with epicycles.
Fourier series and Discrete Fourier transform

Table of Contents

  • Geometric interpretation

    • Discrete Fourier Transform: A geometric interpretation
  • Fourier series and epicycles

    • The Fourier Transform
    • Fourier Transform animation
    • Fourier Transform animation: Signal
    • Fourier Transform animation: Saw tooth
  • Approximating curves

    • Drawing an elephant with four parameters
    • Fourier transform: Circle - Cat
    • Discrete Fourier Transform: Trigonometric interpolation
  • Epicycles tracing out closed curves

    • Epicycles tracing a square closed curve
    • Drawing a square with epicycles
    • Drawing a Cat with epicycles
    • Drawing Pi with epicycles
    • Drawing a T-Rex with epicycles
    • The animated curves
  • GGB Script

    • Discrete Fourier Transform & Epicycles: Scripting
Next
Discrete Fourier Transform: A geometric interpretation

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