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Sampling a direction on hemisphere uniformly
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| import numpy as np | |
| def uniform_hemisphere(): | |
| # Sampling 2 random numbers | |
| u_1 = np.random.rand() | |
| u_2 = np.random.rand() | |
| # Angles | |
| phi = 2 * np.pi * u_1 | |
| theta = np.pi / 2 * u_2 | |
| 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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Using 1000 samples