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Properties of Natural Splines

import splines

vertices = [
    (0, 0),
    (1, 0),
    (2, 1),
    (3, 1),
]

splines.Natural

s = splines.Natural(vertices)

helper.py

from helper import plot_spline_2d

plot_spline_2d(s)

def plot_natural(*args, **kwargs):
    plot_spline_2d(splines.Natural(*args, **kwargs), chords=False)

plot_natural(vertices, endconditions='natural')
plot_natural(vertices, endconditions=[[0, 0], 'natural'])
plot_natural(vertices, endconditions=[[1, -1], 'natural'])
plot_natural(vertices, endconditions=[[2, -2], 'natural'])

plot_natural(vertices, endconditions='closed')

plot_natural(vertices, endconditions='closed', alpha=0.5)