Yet another 14 Feb project. This time it is 2D line drawing with Fourier series.

The input to the program is a SVG file. It gets transformed to Fourier series and gets fed to a drawing program. Which then simulates series as epicycles.

Drawing a rose isn't a bad idea: see demo.

Find complete workflow in design section below.

Complex Fourier series: any function can be expressed as sum of sine and cosine functions, and as the number of such functions approach ∞, the sum approaches original function. "Complex" because all this can be achieved with complex vectors rotating in complex plane each with some frequency.

Motivation: What is fourier series? (YouTube)

Fourier transforms, Bazier curves, Affine transformation, P5js, Blender