Title
Area Bounds of Rectilinear Polygons Realized by Angle Sequences.
Abstract
Given a sequence S of angles at n vertices of a rectilinear polygon, S directly defines (or realizes) a set of rectilinear polygons in the integer grid. Among such realizations, we consider the one P(S) with minimum area. Let delta(n) be the minimum of the area of P(S) over all angle sequences S of length n, and Delta(n) be the maximum. In this paper, we provide the explicit formula for delta(n) and Delta(n).
Year
DOI
Venue
2012
10.1007/978-3-642-35261-4_65
ALGORITHMS AND COMPUTATION, ISAAC 2012
Field
DocType
Volume
Integer,Discrete mathematics,Monotonic function,Combinatorics,Rectilinear polygon,Polygon,Vertex (geometry),Computer science,Smoothing group,Simple polygon,Grid
Conference
7676
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
4
3
Name
Order
Citations
PageRank
Sang Won Bae118931.53
Yoshio Okamoto217028.50
Chan-su Shin320626.76