TY - GEN
T1 - Voronoi diagrams of lines in 3-space under polyhedral convex distance functions
AU - Chew, L. Paul
AU - Kedem, Klara
AU - Sharir, Micha
AU - Tagansky, Boaz
AU - Welzin, Emo
N1 - Funding Information:
*Work by Paul Chew and Klara Kedem has been supported by AFOSR Grant AFOSR-91-0328. Work by Paul Chew has also been supported by ONR Grant N00014-89-J-1946 and ARPA under ONR contract N00014-88-K-0591. Work by Micha Sharir and Emo Welzl has been supported by the G.I.F. - the German Israeli Foundation for Scientific Research and Development, and by a Max Planck Research Award. Work by Micha Sharir has also been supported by National Science Foundation Grant CCR-91-22103, and by grants from the U.S.-Israeli Binational Science Foundation, and the Israel Science Fund administered by the Israeli Academy of Sciences. Work by Emo Welzl has also been supported by the EC Basic Research Action, Project ALCOM II.
PY - 1995/1/22
Y1 - 1995/1/22
N2 - The combinatorial complexity of the Voronoi diagram of n lines in three dimensions under a polyhedral convex distance function is shown to be O(n2α(n)logn), where α(n) is a slowly growing inverse of the Ackermann function. The constant of proportionality depends on the number of faces of the polytope inducing the distance function.
AB - The combinatorial complexity of the Voronoi diagram of n lines in three dimensions under a polyhedral convex distance function is shown to be O(n2α(n)logn), where α(n) is a slowly growing inverse of the Ackermann function. The constant of proportionality depends on the number of faces of the polytope inducing the distance function.
UR - http://www.scopus.com/inward/record.url?scp=0040223812&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0040223812
T3 - Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms
SP - 197
EP - 204
BT - Proceedings of the 6th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 1995
PB - Association for Computing Machinery
T2 - 6th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 1995
Y2 - 22 January 1995 through 24 January 1995
ER -