convert linear graph to exponential graph based on the values

Question

I want to convert the linear graph to exponential graph. There are 2 values generated on x-axis value of SCORE which ranges from [-1,-0.9,-0.8,..0,0.1,0.2,....1] and y-axis value range from [0,255]

The linear graph generated is

And I want the exponential graph as given in the below image to be generated

I want to scale the y-values in such a way they have an exponential shape and their maximum value is 255.

Do you want to plot both lines or only the exponential scaled one? — Pablo C, Dec 01 '20 at 05:59
so in the y-axis you want to plot values from 0 to e²⁵⁵? — Pablo C, Dec 01 '20 at 06:14
@PabloC I don`t know but just need to convert linear to exponential curve, i am confused how it done — Krupali Mistry, Dec 01 '20 at 06:21

Pablo C · Accepted Answer · 2020-12-01T06:48:28.987

2

You only need to scale the values for the y-axis, but first you need to do some simple math. As you want your largest y-value to be 255, you need to solve:

eq1

which results in:

eq2

So, you have to scale by this number. Now let's see the code

import numpy as np
import matplotlib.pyplot as plt

x = np.linspace(-1,1,21)
y = np.linspace(0,255,21)

#scaling here
y = (np.e**(np.log(255)/255))**y

plt.xlabel("Score")
plt.ylabel("Pixel")
plt.plot(x,y)
plt.show()

edited Dec 01 '20 at 06:48

answered Dec 01 '20 at 06:38

Pablo C

4,005
2
3
20

according to the score I have pixel values so when I am trying to plot it its not the exponential curve – Krupali Mistry Dec 01 '20 at 07:14
I don't understand, sorry. Are you trying to fit this plot with an existing curve? – Pablo C Dec 01 '20 at 07:41
I got it your answer is correct , I was trying to fit my calculated values. – Krupali Mistry Dec 01 '20 at 07:45

convert linear graph to exponential graph based on the values

1 Answers1