Processing sketch

gistfile1.pde

private ArrayList<Point> points;
private final int NUM_POINTS = 20000;
private final float NOISE_INCREMENT = 0.03;

void setup() {
  size(700,700);
  background(255);
  stroke(0,0,0,10);
  
  points = new ArrayList<Point>();
  
  for(int i = 0; i < NUM_POINTS; i++) {
    PVector loc = new PVector(random(width), random(height));
    float r = random(20);
    float theta = random(2 * PI);
    //PVector vel = new PVector(r * cos(theta), r * sin(theta));
    PVector vel = new PVector(3,3);
    
    points.add(new Point(loc, vel));
  }
}

void draw() {
  for (Point point : points) {
    line(point.prevLoc.x, point.prevLoc.y, point.loc.x, point.loc.y);
    point.update(); 
  }
}

void mousePressed() {
  saveFrame((int) random(100000000) + ".png");
}

public class Point {
  public PVector loc;
  public PVector vel;
  public PVector prevLoc;
  public float noiseCounter = 0;
  
  public Point(PVector loc, PVector vel) {
    this.loc = loc;
    this.vel = vel;
    this.prevLoc = loc.get();
  }
  
  public void update() {
    prevLoc.set(loc.x,loc.y,0);
    float noiseVal = noise(loc.x * NOISE_INCREMENT, loc.y * NOISE_INCREMENT, noiseCounter += NOISE_INCREMENT);
    float angle = noiseVal * 2 * PI;
    loc.set(loc.x + (vel.x * cos(angle)), loc.y + (vel.y * sin(angle)), 0); 
  }
}