Fig. 2

An example that illustrates the discretize operator. I₁..I₇ are intervals in the input track that are allowed to overlap with each other, while I_r1..I_r9 are non-overlapping intervals in the resulting track after the discretization operation. Each resulting interval is defined by the boundary positions of some input intervals. For example, I_r1’s starting position is the same as I₁’s starting position, and its ending position is equal to I₂’s starting position minus one. It should be noted that the output intervals I_r8 and I_r9 are adjacent to each other since they were produced from input intervals that were also adjacent (I₅ and I₆/I₇)