In scientific visualization, we often handle vector or direction fields. An efficient way of visualizing such a vector or direction field is to cover the whole domain studied by a set of streamlines because they give good information about the flow and the topology of the underlying field.
In this article, we propose to optimize already constructed streamlines by defining an optimization criterion related to the length of the line. We propose to use the Particle Swarm Optimization (PSO) method. It makes it possible by inducing the results to converge to the optimum of the objective function related to the defined problem.
The obtained results are encouraging and merit continuity in the enrichment of the objective function.