Browsing Mathematics (Faculty of) by Subject "orthogonal"
Now showing items 1-3 of 3
-
Adaptive Range Counting and Other Frequency-Based Range Query Problems
(University of Waterloo, 2012-05-18)We consider variations of range searching in which, given a query range, our goal is to compute some function based on frequencies of points that lie in the range. The most basic such computation involves counting the ... -
Area-Efficient Drawings of Outer-1-Planar Graphs
(University of Waterloo, 2020-09-29)We study area-efficient drawings of planar graphs: embeddings of graphs on an integer grid so that the bounding box of the drawing is minimized. Our focus is on the class of outer-1-planar graphs: the family of planar ... -
Folding Orthogonal Polyhedra
(University of Waterloo, 1999)In this thesis, we study foldings of orthogonal polygons into orthogonal polyhedra. The particular problem examined here is whether a paper cutout of an orthogonal polygon with fold lines indicated folds up into a simple ...