I'd strongly recommend ignoring the paper.js and reimplementing this properly. We're seeing a sequence of lines that connect to a historical line of coordinates, based on mouse position, so let's just implement that:
class Point {
float x, y;
Point(float _x, float _y) { x=_x; y=_y; }}
// our list of historical points
ArrayList<Point> points;
// the horizontal spacing of our lines has fixed interval
float interval;
// how many lines do we want to draw?
int steps = 50;
void setup() {
size(500, 500);
// initialise the "history" as just the midpoint
points = new ArrayList<Point>();
for (int i=0; i<steps; i++) {
points.add(new Point(width/2, height/2));
}
// compute the horizontal interval, because it's
// width-dependent. Never hard code dependent values.
interval = width/(float)steps;
// the lower we set this, the slower it animates.
frameRate(60);
}
void draw() {
// white background, black lines
background(255);
stroke(0);
// for each historic point, draw two
// lines. One from height 0 to the point,
// another from height [max] to the point.
Point p;
for (int i=0; i<steps; i++) {
p = points.get(i);
line(interval/2 + i*interval, 0, p.x, p.y);
line(interval/2 + i*interval, height, p.x, p.y);
}
// when we move the mouse, that counts as a new historic point
points.remove(0);
points.add(new Point(mouseX, mouseY));
}
Sketch running in the browser: http://jsfiddle.net/M2LRy/1/
(You could speed this up by using a round-robin array instead of an ArrayList, but ArrayLists are pretty convenient here)