Input: a sequence of sets X_1, ..., X_n
Output: a shorter sequence of sets Y_1, ..., Y_m with m ≤ n such that ⋃ X_i ⊆ ⋃ Y_j.
This is useful for a hybrid systems reachability algorithm. See, e.g., the SpaceEx paper where a combination of convex hull and template hull is used.
So another input to the function could be a predefined error bound or the number of sets that should be returned.
Input: a sequence of sets
X_1, ..., X_n
Output: a shorter sequence of setsY_1, ..., Y_m
withm ≤ n
such that⋃ X_i ⊆ ⋃ Y_j
.This is useful for a hybrid systems reachability algorithm. See, e.g., the SpaceEx paper where a combination of convex hull and template hull is used. So another input to the function could be a predefined error bound or the number of sets that should be returned.