# 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.

`mahotas.demos.load('lena')`

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

 `# importing required libraries ` `import` `mahotas ` `import` `mahotas.demos ` `from` `pylab ``import` `gray, imshow, show ` `import` `numpy as np ` `import` `matplotlib.pyplot as plt ` `   `  `# loading iamge ` `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

 `# importing required libraries ` `import` `mahotas ` `import` `numpy as np ` `from` `pylab ``import` `gray, imshow, show ` `import` `os ` `import` `matplotlib.pyplot as plt ` `  `  `# loading iamge ` `img ``=` `mahotas.imread(``'dog_image.png'``) ` ` `  ` `  `# fltering 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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