# Interpolation and Extrapolation in 2D in Python

Learn how to interpolation and extrapolate data in two dimensions

#### New to Plotly?¶

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In [1]:

```
import plotly.plotly as py
import plotly.graph_objs as go
from plotly.tools import FigureFactory as FF
import numpy as np
import pandas as pd
import scipy
```

#### Tips¶

Interpolation refers to the process of generating data points between already existing data points. Extrapolation is the process of generating points outside a given set of known data points.

(*inter* and *extra* are derived from Latin words meaning 'between' and 'outside' respectively)

#### Spline Interpolation¶

Interpolate for a set of points and generate the curve of best fit that intersects all the points.

In [2]:

```
from scipy import interpolate
x = np.arange(-5.0, 5.0, 0.25)
y = np.arange(-5.0, 5.0, 0.25)
xx, yy = np.meshgrid(x, y)
z = np.sin(xx**2+yy**2)
f = interpolate.interp2d(x, y, z, kind='cubic')
xnew = np.arange(-5.0, 5.0, 1e-1)
ynew = np.arange(-5.0, 5.0, 1e-1)
znew = f(xnew, ynew)
trace1 = go.Scatter3d(
x=x,
y=y,
z=z[0, :],
mode='markers',
name='Data',
marker = dict(
size = 7
)
)
trace2 = go.Scatter3d(
x=ynew,
y=xnew,
z=znew[0, :],
marker=dict(
size=3,
),
name='Interpolated Data'
)
layout = go.Layout(
title='Interpolation and Extrapolation in 2D',
scene=dict(
camera= dict(
up=dict(x=0, y=0, z=1),
center=dict(x=0, y=0, z=0),
eye=dict(x=1, y=-1, z=0)
)
)
)
data = [trace1, trace2]
fig = go.Figure(data=data, layout=layout)
py.iplot(fig, filename='interpolation-and-extrapolation-2d')
```

Out[2]: