O'Reilly book clarification on 2d linear system
- by Eric
The Oreilly book "Learning openCV" states at page 356 :
Quote
Before we get totally lost, let’s consider a particular realistic situation of taking measurements
on a car driving in a parking lot. We might imagine that the state of the car could
be summarized by two position variables, x and y, and two velocities, vx and vy. These
four variables would be the elements of the state vector xk. Th is suggests that the correct form for F is:
x = [ x;
y;
vx;
vy; ]k
F = [ 1, 0, dt, 0;
0, 1, 0, dt;
0, 0, 1, 0;
0, 0, 0, 1; ]
It seems natural to put 'dt' just there in the F matrix but I just don't get why. What if I have a n states system, how would I spray some "dt" in the F matrix?