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# Mahotas – Eccentricity of Image

In this article we will see how we can get the eccentricity of the image in mahotas. Eccentricity measures the shortest length of the paths from a given vertex v to reach any other vertex w of a connected graph. Computed for every vertex v it transforms the connectivity structure of the graph into a set of values. For a connected region of a digital image it is defined through its neighbourhood graph and the given metric.

Below is the lena image

In order to do this we will use mahotas.features.eccentricity( method
Syntax : mahotas.features.eccentricity(img)
Argument : It takes image object as argument
Return : It returns float value

Note : Input image should be filtered or should be loaded as grey
In order to filter the image we will take the image object which is numpy.ndarray and filter it with the help of indexing, below is the command to do this

image = image[:, :, 0]

Below is the implementation

## Python3

 # importing required libraries import mahotas import mahotas.demos from pylab import gray, imshow, show import numpy as np import matplotlib.pyplot as plt     # loading image img = mahotas.demos.load('lena')     # filtering image img = img.max(2)   print("Image")     # showing image imshow(img) show()   # computing eccentricity value value = mahotas.features.eccentricity(img)      # showing value print("Eccentricity value = " + str(value))

Output :

Image

Eccentricity value = 0.0

Another example

## Python3

 # importing required libraries import mahotas import numpy as np from pylab import gray, imshow, show import os import matplotlib.pyplot as plt    # loading image img = mahotas.imread('dog_image.png')     # filtering image img = img[:, :, 0]     print("Image")     # showing image imshow(img) show()   # computing eccentricity value value = mahotas.features.eccentricity(img)      # showing value print("Eccentricity value = " + str(value))

Output :

Image

Eccentricity value = 0.7950893156644899

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