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Correcting the Gaussian Formula (#2249)

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* Correcting the Gaussian Formula

I have added the parenthesis around the 2*sigma^2 term.

* Update gaussian.py

* Update gaussian.py

* Update gaussian.py

* Update gaussian.py

* Update gaussian.py

* Update gaussian.py

Co-authored-by: Christian Clauss <cclauss@me.com>
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aryan26roy 2020-07-30 01:02:36 +05:30 committed by GitHub
parent c7a5f1673e
commit 373f193c6d
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1 changed files with 8 additions and 6 deletions
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maths/gaussian.py
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@ -1,9 +1,5 @@
"""
Reference: https://en.wikipedia.org/wiki/Gaussian_function
python/black : True
python : 3.7.3
"""
from numpy import exp, pi, sqrt
@ -16,6 +12,12 @@ def gaussian(x, mu: float = 0.0, sigma: float = 1.0) -> int:
>>> gaussian(24)
3.342714441794458e-126
>>> gaussian(1, 4, 2)
0.06475879783294587
>>> gaussian(1, 5, 3)
0.05467002489199788
Supports NumPy Arrays
Use numpy.meshgrid with this to generate gaussian blur on images.
>>> import numpy as np
@ -49,8 +51,8 @@ def gaussian(x, mu: float = 0.0, sigma: float = 1.0) -> int:
>>> gaussian(2523, mu=234234, sigma=3425)
0.0
"""
return 1 / sqrt(2 * pi * sigma ** 2) * exp(-((x - mu) ** 2) / 2 * sigma ** 2)
"""
return 1 / sqrt(2 * pi * sigma ** 2) * exp(-((x - mu) ** 2) / (2 * sigma ** 2))
if __name__ == "__main__":