通过质心移动几何

Question

I have a collection of points:

[[2000,3000], [2000,12000], [10000,120000], [10000,3000], [2000,3000]]

and it has a center at coordinates [6000, 7500]

What is a way to shift all the coordinates around a new center [x_new, y_new] ? Example, if I wanted to shift all the x/y's around [0,0] instead of the current center but I want to retain the shape.

The shapes vertices are not always rectangles, I am just using that for a simple example.

I want to limit 3rd party modules to numpy and the standard python library.

Thanks!

Answer 1

Shifting a group of points in lockstep is achieved by adding the same displacement vector to each of them.

This is easy using numpy

import numpy as np
points = np.array([[2000,3000], [2000,12000], [10000,120000], [10000,3000], [2000,3000]])
com = np.mean(points, axis=0)
delta = np.array((0, 0)) - com
shifted_points = points + delta