poisson_noise¶

odl.phantom.noise.poisson_noise(intensity, seed=None)[source]¶

Poisson distributed noise with given intensity.

Parameters:

intensityTensorSpace or ProductSpace element: The intensity (usually called lambda) parameter of the noise.

Returns:

poisson_noiseintensity.space element: Poisson distributed random variable.
seedint, optional: Random seed to use for generating the noise. For None, use the current seed.

See also

white_noise
salt_pepper_noise
uniform_noise
numpy.random.poisson

Notes

For a Poisson distributed random variable $X$ with intensity $\lambda$ , the probability of it taking the value $k \in \mathbb{N}_0$ is given by

$\frac{\lambda^k e^{-\lambda}}{k!}$

Note that the function only takes integer values.