TY - GEN
T1 - Computing the width of a set
AU - Houle, Michael B.
AU - Toussaint, Godfried T.
N1 - Publisher Copyright:
© 1985 ACM.
PY - 1985/6/1
Y1 - 1985/6/1
N2 - Given a set of points P - {p1,p2....Pn} ,n three dimensions, the width of P, W(P)% is defined as the minimum distance between parallel planes of support of P. It is shown that W(P) can be computed in O(n logn time and O(n) space, where / is the number of antipodal pairs? of edges of the convex hull of P, and in the worst case O(n2). [f P is a set of points in the plane, this complexity can be reduced to O(n logn). Finally, for simple polygons linear time suffices.
AB - Given a set of points P - {p1,p2....Pn} ,n three dimensions, the width of P, W(P)% is defined as the minimum distance between parallel planes of support of P. It is shown that W(P) can be computed in O(n logn time and O(n) space, where / is the number of antipodal pairs? of edges of the convex hull of P, and in the worst case O(n2). [f P is a set of points in the plane, this complexity can be reduced to O(n logn). Finally, for simple polygons linear time suffices.
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U2 - 10.1145/323233.323234
DO - 10.1145/323233.323234
M3 - Conference contribution
AN - SCOPUS:0002569347
T3 - Proceedings of the 1st Annual Symposium on Computational Geometry, SCG 1985
SP - 1
EP - 7
BT - Proceedings of the 1st Annual Symposium on Computational Geometry, SCG 1985
PB - Association for Computing Machinery, Inc
T2 - 1st Annual Symposium on Computational Geometry, SCG 1985
Y2 - 5 June 1985 through 7 June 1985
ER -