We provide new combinatorial bounds on the complexity of a face in an arrangement of segments in the plane. In particular, we show that the complexity of a single face in an arran...
Esther M. Arkin, Dan Halperin, Klara Kedem, Joseph...
Given a tree T spanning a set of points S in the plane, we study the problem of drawing T using only line segments aligned with a fixed set of directions C. The vertices in the dra...
Joachim Gudmundsson, Marc J. van Kreveld, Damian M...
Abstract Data-parallel algorithms for R-trees, a common spatial data structure are presented, in the domain of planar line segment data e.g., Bureau of the Census TIGER Line les....
This paper presents an algorithm for matching line segments in two images which are related by an affine transformation. Images are represented as patterns of line segments. Areas...
The application of Hough Transform (HT) has been limited to small-size images for a long time. For large-size images, the peak detection and the line verification become much more...
We introduce a novel and general approach for digitalization of line segments in the plane that satisfies a set of axioms naturally arising from Euclidean axioms. In particular, ...
We present two new fundamental lower bounds on the worst-case combinatorial complexity of sets of free lines and sets of maximal free line segments in the presence of balls in thr...
The number of location-aware mobile devices has been rising for several years. As this trend continues, these devices may be able to use their location information to provide inte...
Snap Rounding (SR for short) is a method for converting arbitrary-precision arrangements of line segments into a fixed-precision representation. In the previous years two variant...
Abstract— We consider the problem of approximating a continuous curve by a piecewise linear one whose segments are assumed to be connected by universal joints. Rather than taking...