Forming a Convex Polygon of Mobile Sensors

A computer implemented method for forming a convex polygon of a plurality of mobile sensors in an area, the computer implemented method comprising:

• analyzing, by a computer, sensor output data received from the plurality of mobile sensors in the area using an optimization problem;
• determining, by the computer, whether the plurality of mobile sensors forms the convex polygon in the area;
• responsive to the computer determining that the plurality of mobile sensors does form the convex polygon in the area, generating, by the computer, an objective function and a set of constraints corresponding to the optimization problem;
• and
• calculating, by the computer, a sparse solution of the optimization problem using the objective function and the set of constraints to determine vector weight values for each of the plurality of mobile sensors.