Parameters of Point Set Motion Generator

The Point Set Motion Generator (PSMG) has the following parameters:

number of frames

This is the length of an image sequence. It is an integer between 1 and 20.

number of points

This is the total number of trajectories during an image sequence. It is an integer between 1 and 100. The computational load of the algorithms depends strongly on this parameter. For the algorithms by Sethi and Jain SJ97 and Salari and Sethi SS90, a value not exceeding 40 is recommended.

image size

This is specified by the number of rows and the number of columns. Both are integers between 50 and 500.

velocity mean $v$ and variance $\sigma_v$

These are positive real numbers not exceeding 20.0 and 10.0, respectively. They control the Gaussian-distributed velocities in the first frame, where the points are generated randomly with uniformly distributed initial positions and directions of motion.

variance of change in velocity magnitude $\sigma_{\Delta v}$

This variance controls the Gaussian perturbation of velocity magnitude in the subsequent frames. It is a real number between 0.0 and 10.0, in pixels.

variance of change in velocity direction $\sigma_{\Delta\theta}$

This variance controls the Gaussian perturbation of velocity direction in the subsequent frames. It is a real number between 0.0 and 90.0, in degrees.

probability of occlusions

This specifies how frequently the points disappear for one frame. It is a real number between 0.0 and 0.3.

The speeds generated are cut at the speed limit $v_{max}= v+ 2\sigma_v + 2\sigma_{\Delta v}$. The speed limit is passed to the tracking algorithms.

Click here to test the PSMG and the tracking algorithms.