Question: When all obstacles are convex polygons we can improve the shortest path algorithm by only considering common tangents rather than all visibility edges. a .

When all obstacles are convex polygons we can improve the shortest
path algorithm by only considering common tangents rather than all
visibility edges.
a. Prove that the only visibility edges that are required in the shortest
path algorithm are the common tangents of the polygons.
b. Give a fast algorithm to find the common tangents of two disjoint
convex polygons.
c. Give an algorithm to compute those common tangents that are also
visibility edges among a set of convex polygons.
When all obstacles are convex polygons we can improve the shortest

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