RandomJ: Poisson

General Description

This plugin enables one to contaminate images with random numbers generated using a Poisson random variable.

Dialog Description

Mean. The parameter of the probability mass function of the Poisson random variable:

with α being the mean, which must be non-negative.

Insertion. The random numbers can be inserted into the image either additively, multiplicatively, or modulatory. The first two are self-explanatory. Modulatory insertion means that each image element (pixel, voxel) is assigned a Poisson random number generated with the original value being the mean of the process, that is α in the above formula. The value in the Mean field of the dialog is ignored in that case.

Implementation Details

The generator is based on [1] and uses the Uniform plugin as a source of uniform random numbers. Since the uniform number generator is initialized with a seed derived from the system's current time in milliseconds, the sequence of random numbers will be different for each run of this plugin, provided there is a time interval of at least one millisecond between the runs.

References