I have a 2D numpy array that represents the coordinates (x, y) of a curve, and I want to split that curve into parts of the same length, obtaining the coordinates of the division points.
The most easy example is a line defined for two points, for example [[0,0],[1,1]], and if I want to split it in two parts the result would be [0.5,0.5], and for three parts [[0.33,0.33],[0.67,0.67]] and so on.
How can I do that in a large array where the data is less simple? I'm trying to split the array by its length but the results aren't good.
If I understand well, what you want is a simple interpolation. For that, you can use scipy.interpolate (http://docs.scipy.org/doc/scipy/reference/tutorial/interpolate.html):
from scipy.interpolate import interp1d
f = interp1d(x, y) ## for linear interpolation
f2 = interp1d(x, y, kind='cubic') ## for cubic interpolation
xnew = np.linspace(x.min(), x.max(), num=41, endpoint=False)
ynew = f(xnew) ## or f2(xnew) for cubic interpolation
You can create a function that returns the coordinates of the split points, given x, y and the number of desired points:
def split_curve(x, y, npts):
from scipy.interpolate import interp1d
f = interp1d(x, y)
xnew = np.linspace(x.min(), x.max(), num=npts, endpoint=False)
ynew = f(xnew)
return zip(xnew[1:], ynew[1:])
For example,
split_curve(np.array([0, 1]), np.array([0, 1]), 2) ## returns [(0.5, 0.5)]
split_curve(np.array([0, 1]), np.array([0, 1]), 3) ## [(0.33333333333333331, 0.33333333333333331), (0.66666666666666663, 0.66666666666666663)]
Note that x and y are numpy arrays and not lists.