Computing External Farthest Neighbors for a Simple Polygon
Computing External Farthest Neighbors for a Simple Polygon
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Lemma 4. 2 For any point p E V, at least one of 8l{p), l^ip), 8r{p) is in (f>'{p).
Proof: Suppose x G (f)'{p)nV[l{p), f3{p)]. By definitions of'{p) n 'P[(3{p), r{p)] is similar.
D Observe that the proof of the previous Lemma implies that the point(s) of {'(p). Therefore, a representative of'{p) can be located by computing Si{p), I3{p), and Sji{p).
Assume that V is given, CTiiV) has been computed, and the preprocessing for external distance queries has been performed. We will fi ...rst describe how to compute /3(p) for all vertices p G 'P and then present an algorithm that determines 6l{p) for each vertex p.
What to read after Computing External Farthest Neighbors for a Simple Polygon?
You can find similar books in the "Read Also" column, or choose other free books by Pankaj K Agarwal to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Lemma 4. 2 For any point p E V, at least one of 8l{p), l^ip), 8r{p) is in (f>'{p).
Proof: Suppose x G (f)'{p)nV[l{p), f3{p)]. By definitions of
D Observe that the proof of the previous Lemma implies that the point(s) of {'(p). Therefore, a representative of
Assume that V is given, CTiiV) has been computed, and the preprocessing for external distance queries has been performed. We will fi
What to read after Computing External Farthest Neighbors for a Simple Polygon?
You can find similar books in the "Read Also" column, or choose other free books by Pankaj K Agarwal to read onlineMoreLess
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