Python – How to write simple geometric shapes into numpy arrays

geometryimagenumpypython

I would like to generate a numpy array of 200×200 elements in size and put into it a circle centered into 100,100 coordinates, radius 80 and stroke width of 3 pixels. How to do this in python 2.7 without involving file operations? Possibly using geometry or imaging libraries to allow generalisation to other shapes.

Best Solution

The usual way is to define a coordinate mesh and apply your shape's equations. To do that the easiest way is to use numpy.mgrid:

http://docs.scipy.org/doc/numpy/reference/generated/numpy.mgrid.html

# xx and yy are 200x200 tables containing the x and y coordinates as values
# mgrid is a mesh creation helper
xx, yy = numpy.mgrid[:200, :200]
# circles contains the squared distance to the (100, 100) point
# we are just using the circle equation learnt at school
circle = (xx - 100) ** 2 + (yy - 100) ** 2
# donuts contains 1's and 0's organized in a donut shape
# you apply 2 thresholds on circle to define the shape
donut = numpy.logical_and(circle < (6400 + 60), circle > (6400 - 60))