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Correcting the Gaussian Formula #2249

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Merged
cclauss merged 7 commits into from
Jul 29, 2020
Merged

Correcting the Gaussian Formula #2249

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0a8b483
Correcting the Gaussian Formula
aryan26roy Jul 28, 2020
4331794
Update gaussian.py
aryan26roy Jul 28, 2020
f585578
Update gaussian.py
aryan26roy Jul 29, 2020
5c5646d
Update gaussian.py
aryan26roy Jul 29, 2020
5110ace
Update gaussian.py
aryan26roy Jul 29, 2020
f78eee4
Update gaussian.py
aryan26roy Jul 29, 2020
ed8a114
Update gaussian.py
cclauss Jul 29, 2020
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14 changes: 8 additions & 6 deletions maths/gaussian.py
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Original file line number Diff line number Diff line change
@@ -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

Expand All @@ -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

@aryan26roy aryan26roy Jul 29, 2020

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See?

Supports NumPy Arrays
Use numpy.meshgrid with this to generate gaussian blur on images.
>>> import numpy as np
Expand Down Expand Up @@ -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__":
Expand Down