Fourier and Images

Fourier and Images is a project that tries to draw images with circles.

Setup

• pip3 install -r requirements.txt
• Modify main.py to reflect where your images are.
• python3 main.py

Note that you'll need ImageMagick only if you want to save stuff to a gif.

Example

Getting one set of circles with one image:

im = Image("pikachu.png", (200, 200)) path = im.sort() period, tupcirclerads, tupcirclelocs = Fourier(napprox = 1000, coord1 = path).get_circles() Plot(period, tupcirclerads, tupcirclelocs, speed = 8).plot()

Pikachu

Getting two sets of circles with one image:

im = Image("einstein.jpg", (200, 200))
path = im.sort()
period, tupcirclerads, tupcirclelocs = Fourier(napprox = 1000, coord1 = path).get_circles(mode=2)
Plot(period, tupcirclerads, tupcirclelocs, speed = 8).plot()

Note that the circle on the bottom left is NOT drawing any particular image.

Einstein

Getting two set of circles with two image:

im_1 = Image("images/formula.jpeg", (200, 200)) im_2 = Image("images/dickbutt.jpg", (200, 200)) path1 = im1.sort() path2 = im2.sort() period, tupcirclerads, tupcirclelocs = Fourier(napprox = 1000, coord1 = path1, coord2 = path2).getcircles() Plot(period, tupcirclerads, tupcirclelocs, speed = 8).plot()

Dickbutt and Euler's Formula

Getting visualization of how number of Fourier Series terms affects the image:

im = Image("images/obama.jpg", (200, 200)) path = im.sort() period, tupcirclerads, tupcirclelocs = Fourier(coord1 = path).getcircles() Plot(period, tupcirclerads, tupcirclelocs, visualize = True).plot()

Obama

Warnings

Too big of an image might cause your computer to freeze! Resizing the image to (200, 200) is a safe choice and anything above (500, 500) starts to get a bit sketchy.

Animation

Anything above 1000 n_approximations takes a bit of time to animate. Recommend speed = 8. In this setting, saving the animation takes about 10 minutes.

Improvements

1) Use FFT to calculate the Fourier Series coefficients 2) Improve edge detection algorithm 3) Improve the function(s) that order the points from the edge detection algorithm

Have fun!