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Plotting the interpolated function in Scipy

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by shivanisanju03 dot icon Updated: Mar 31, 2023

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Interpolation is a method of constructing data points between given data points. The scipy.interpolate module in Python SciPy contains classes, spline functions, and univariate and multivariate interpolation classes. 


Interpolation is done in many ways, some of which are mentioned below: 

  • 1-D Interpolation 
  • Spline Interpolation 
  • Univariate Spline Interpolation 
  • RBF Interpolation 



Sequential linear interpolation (SLI) is used for approximating multidimensional nonlinear functions. The SLI is a partially separable grid structure that allows us to allocate more grid points to the regions where the function to be interpolated is more nonlinear. 


Please check the below code to learn how to plot interpolated functions in Scipy 


Fig: Preview of the output that you will get on running this code from your IDE

Code

In this solution we're using numpy,matplotlib and Scipy Library

How to use scipy.interpolate to get sequential point interpolation?

PythondotLines of Code : 12dotLicense : Strong Copyleft (CC BY-SA 4.0)

Dependent Libraries : 
import numpy as np
import matplotlib.pyplot as plt
from scipy import interpolate

x =np.array([1,2,3,4,3,2])
y = np.array([1,1,1,1,2,2])
tck, u = interpolate.splprep([x, y], s=0., k=1)
unew = np.arange(0, 1.01, 0.01)
out = interpolate.splev(unew, tck)
plt.plot(x, y, 'o', out[0], out[1], '-')
plt.show()

Instructions

Follow the steps carefully to get the output easily.

  1. Install numpy,matplotlib,Scipy on your IDE(Any of your favorite IDE).
  2. Copy the snippet using the 'copy' and paste it in your IDE.
  3. Run the file to generate the output.


I hope you found this useful. I have added the link to dependent library, version information in the following sections.


I found this code snippet by searching for 'How to use scipy.interpolate to get sequential point interpolation' in kandi. You can try any such use case!


Environment tested


I tested this solution in the following versions. Be mindful of changes when working with other versions.

  1. The solution is created in Pycharm 2022.3.3 (Community Edition)
  2. The solution is tested on Python 3.11.1.


Using this solution, we are able to know how to plot interpolated function in Scipy with simple steps. This process also facilities an easy way to use, hassle-free method to create a hands-on working version of code which would help us to know how to plot interpolated function in Scipy with simple steps


Dependent Library


numpyby numpy

Python doticonstar image 23755 doticonVersion:v1.25.0rc1doticon
License: Permissive (BSD-3-Clause)

The fundamental package for scientific computing with Python.

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            numpyby numpy

            Python doticon star image 23755 doticonVersion:v1.25.0rc1doticon License: Permissive (BSD-3-Clause)

            The fundamental package for scientific computing with Python.
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                      scipyby scipy

                      Python doticonstar image 11340 doticonVersion:v1.11.0rc1doticon
                      License: Permissive (BSD-3-Clause)

                      SciPy library main repository

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                                scipyby scipy

                                Python doticon star image 11340 doticonVersion:v1.11.0rc1doticon License: Permissive (BSD-3-Clause)

                                SciPy library main repository
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                                          matplotlibby matplotlib

                                          Python doticonstar image 17559 doticonVersion:v3.7.1doticon
                                          no licences License: No License (null)

                                          matplotlib: plotting with Python

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                                                    matplotlibby matplotlib

                                                    Python doticon star image 17559 doticonVersion:v3.7.1doticonno licences License: No License

                                                    matplotlib: plotting with Python
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                                                              You can also search for any dependent libraries on kandi like 'numpy' 'scipy' 'matplotlib'

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