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kugimasa/cosine_lobe.py

Last active May 26, 2020 04:35
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Sampling a direction on hemisphere using Cosine Lobe
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cosine_lobe.py
import numpy as np
def cosine_lobe(N):
# Sampling 2 random numbers
u_1 = np.random.rand()
u_2 = 1.0 - np.random.rand()
# angles
phi = 2 * np.pi * u_1
theta = np.arccos(np.power(u_2, 1/(N+1)))
x = np.sin(theta) * np.cos(phi)
y = np.sin(theta) * np.sin(phi)
z = np.cos(theta)
return x, y, z
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kugimasa commented May 22, 2020 •
edited
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CosineLobe(N=1)
CosineLobe(N=2)
CosineLobe(N=10)

Using 1000 samples

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