We reexamine fundamental problems from computational geometry in the word RAM model, where input coordinates are integers that fit in a machine word. We develop a new algorithm fo...
Abstract. Hyperbolic area is characterized as the unique continuous isometry invariant simple valuation on convex polygons in H2 . We then show that continuous isometry invariant s...
Range searching is a fundamental problem in computational geometry. The problem involves preprocessing a set of n points in Rd into a data structure, so that it is possible to det...
Sunil Arya, Guilherme Dias da Fonseca, David M. Mo...
Planar point location is among the most fundamental search problems in computational geometry. Although this problem has been heavily studied from the perspective of worst-case que...
Sunil Arya, Siu-Wing Cheng, David M. Mount, Ramesh...