@inproceedings{adea4c3a5917470ba50cd3c4da615cce,
title = "Determining the separation of preprocessed polyhedra — A unified approach",
abstract = "We show how (now familiar) hierarchical representations of (convex) polyhedra can be used to answer various separation queries efficiently (in a number of cases, optimally). Our emphasis is i) the uniform treatment of polyhedra separation problems, ii) the use of hierarchical representations of primitive objects to provide implicit representations of composite or transformed objects, and iii) applications to natural problems in graphics and robotics. Among the specific results is an O(log|P|·log|Q|) algorithm for determining the separation of polyhedra P and Q (which have been individually preprocessed in at most linear time).",
author = "Dobkin, {David P.} and Kirkpatrick, {David G.}",
note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1990.; 17th International Colloquium on Automata, Languages and Programming, 1990 ; Conference date: 16-07-1990 Through 20-07-1990",
year = "1990",
doi = "10.1007/bfb0032047",
language = "English (US)",
isbn = "9783540528265",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "400--413",
editor = "Paterson, {Michael S.}",
booktitle = "Automata, Languages and Programming - l7th International Colloquium, Proceedings",
address = "Germany",
}