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Abstract: INTRODUCTION
The study of convex sets is a branch of geometry, analysis, and linear algebra [5, 7] that has
applications in many practical areas of computer science, including VLSI design, computer
graphics, and motion planning [12]. Researchers have studied many notions of nontraditional
convexity, such as orthogonal convexity [9, 10, 11], finitely oriented convexity [6, 20, 14],
strong convexity [13, 2], NESW convexity [8, 18, 20], and link convexity [1, 19, 17].
Rawlins introduced... (Update)
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Restricted-Orientation Halfspaces - Fink, Wood
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BibTeX entry: (Update)
Eugene Fink and Derick Wood. Generalized halfspaces in restricted-orientation convexity. Unpublished manuscript, 1995. http://citeseer.ist.psu.edu/article/fink95generalized.html More
@misc{ fink95generalized,
author = "E. Fink and D. Wood",
title = "Generalized halfspaces in restricted-orientation convexity",
text = "Eugene Fink and Derick Wood. Generalized halfspaces in restricted-orientation
convexity. Unpublished manuscript, 1995.",
year = "1995",
url = "citeseer.ist.psu.edu/article/fink95generalized.html" }
Citations (may not include all citations):
508
Computational Geometry (context) - Preparata, Shamos - 1985
44
Convex Polytopes (context) - unbaum, Klee et al. - 1967
25
Explorations in Restricted-Orientation Geometry (context) - Rawlins - 1987
24
A fast algorithm for testing for safety and detecting deadlo.. (context) - Lipski, Papadimitriou - 1981
21
Optimal computation of finitely oriented convex hulls (context) - Rawlins, Wood - 1987
20
the definition and computation of rectilinear convex hulls (context) - Ottmann, Soisalon-Soininen et al. - 1984
19
On Generalized Visibility (context) - Schuierer - 1991
19
Restricted-orientation convex sets (context) - Rawlins, Wood - 1991
19
Ortho-convexity and its generalizations (context) - Rawlins, Wood - 1988
17
convex hull of a set of X-Y polygons (context) - Nicholl, Lee et al. - 1983
16
Fundamentals of restricted-orientation convexity
- Fink, Wood - 1997
15
convex hull of a set of x-y polygons (context) - Montuno, Fournier - 1982
14
Local convexity and L n -sets (context) - Valentine - 1965
13
American Mathematical Monthly (context) - Klee, What - 1971
8
Strong restricted-orientation convexity
- Fink, Wood - 1997
6
Three-dimensional strong convexity and visibility
- Fink, Wood - 1995
5
and connectedness (context) - Bruckner, Bruckner et al. - 1962
5
Information Processing Letters (context) - uting, Stabbing - 1983
1
Optimal algorithms to compute the closure of a set of iso-re.. (context) - Soisalon-Soininen, Wood - 1984
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