@techreport{R-86-30, TITLE = {Scanline Algorithms on a Grid}, AUTHOR = {Rolf G. Karlsson and Mark H. Overmars }, YEAR = {1986}, NUMBER = {R-86-30}, INSTITUTION = ida, ADDRESS = idaaddr, ABSTRACTURL = {/publications/cgi-bin/tr-fetch.pl?r-86-30+abstr}, ABSTRACT = {A number of important problems in computational geometry are solved efficiently on 2- or 3-dimensional grids by means of scanline techniques. In the solutions to the maximal elements and closure problems, a factor log n is substituted by loglog u, where n is the set size and u the grid size. Next, by using a data structure introduced in the paper, the interval trie, previous solutions to the rectangle intersection and connected component problems are improved upon. Finally, a fast intersection finding algorithm for arbitrarily oriented line segments is presented.}, IDANR = {LiTH-IDA-R-86-30}