Suppose intruders are in a dark polygonal room and they can move at a finite but unbounded speed, trying to avoid detection. A boundary 1-searcher can move along the polygon bounda...
Tsunehiko Kameda, John Z. Zhang, Masafumi Yamashit...
Every simple planar polygon can undergo only a finite number of pocket flips before becoming convex. Since Erdos posed this as an open problem in 1935, several independent purport...
Erik D. Demaine, Blaise Gassend, Joseph O'Rourke, ...
Polygon clipping is an important operation that computers execute all the time. An algorithm that clips a polygon is rather complex. Each edge of the polygon must be tested against...
In this paper, we introduce a generalized version of the Watchman Route Problem (WRP) where the objective is to plan a continuous closed route in a polygon (possibly with holes) a...
A watchman tour in a polygonal domain (for short, polygon) is a closed curve such that every point in the polygon is visible from at least one point of the tour. The problem of fin...
Let O = {O1, . . . , Om} be a set of m convex polygons in R2 with a total of n vertices, and let B be another convex k-gon. A placement of B, any congruent copy of B (without refle...
Pankaj K. Agarwal, Danny Z. Chen, Shashidhara K. G...
Abstract. Methods for exact computation of irradiance and form factors associated with polygonal objects have ultimately relied on a formula for a differential area to polygon form...
In order to achieve the impression of a smooth surface while rendering a polygon mesh, normal vector vectors may be provided in the vertices of the mesh that are the average of th...
We consider the problems of straightening polygonal trees and convexifying polygons by continuous motions such that rigid edges can rotate around vertex joints and no edge crossing...
The VC-1 is a parallel graphics machine for polygon rendering based on image composition. This paper describes the architecture of the VC-1 along with a parallel polygon rendering...