An arbitrary diagram formed by a curve is drawn by a complex Fourier transform.
The points on the curve are reproduced by combining the vectors obtained by the Fourier transform. Because of the complex Fourier transform, all vectors are in constant velocity circular motion.

** Original curve coordinates must already be stored in a.mat file **

Understand the image of the complex Fourier transform and let your students realize the greatness of Joseph Fourier.

Included files
*TwoDFourierVisualization_plain.m: main code.
*.mat files: examples of various curves. Load into main code.

Special Thanks to michio_MWJapan (twitter: @michio_MWJ)