Central trajectory

This project is to compute central trajectories with different methods.

File List

functions.py
minmaxradiuscircle.py
demoMeanMinCircle.py
demoPercentMinCircle.py
demoTrajGraph.py

How to run demo files

functions.py and minmaxradiuscircle.py are header files (not for running).

Open a terminal.
Go to the directory where all files are saved.
Type '''python3 filename.py’’’ for demo———.py files to run the demonstration.

function.py

This file includes functions that are used to compute central trajectories.

minmaxradiuscircle.py

This file includes functions that are used to compute the minimum radius enclosing circle.

demoMeanMinCircle.py

This demo presents the minimum radius enclosing ball of 100% data, its center and the average point as a new point is added by the user.
Input: The x and y coordinates of the starting point.
Output: Minimum radius enclosing ball that includes all data, its center, and the average point of user clicked data points.

demoPercentMinCircle.py

This demo presents the minimum radius enclosing ball using user specified percentage of data and the minimum radius enclosing ball of 100% data as a new point is added by the user.
Input: The x and y coordinates of the starting point and the percent of data that the user wants to include.
Output: One minimum radius enclosing ball that includes all data (red), its center (red), one minimum radius enclosing ball that includes specified percent of data (blue), and its center (blue).

demoTrajGraph.py

This demo presents 3D graphs original trajectory, minimum radius circle trajectory, user specified percent subset minimum radius circle trajectory, and average trajectory.
Input: The number of time steps, x-perturbation constant, y-perturbation constant, and the percentage of data points that the user wants to include.
Output: 3D graphs of original trajectory (black), minimum radius circle trajectory (blue), subset minimum radius circle trajectory (green), and average trajectory (red) using 100 generated trajectories.