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Generalized Halfspaces In Restricted-Orientation Convexity (1995)  (Make Corrections)  (13 citations)
Eugene Fink, Derick Wood



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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)

Cited by:   More
Restricted-Orientation Halfspaces - Fink, Wood   (Correct)
Fundamentals of Restricted-Orientation Convexity - Fink, Wood   (Correct)
Strong Restricted-Orientation Convexity - Fink, Wood (1997)   (Correct)

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28.6%:   Generalized Halfspaces in Restricted-Orientation Convexity - Fink, Wood (1995)   (Correct)

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0.8:   Three-Dimensional Strong Convexity and Visibility - Fink, Wood (1995)   (Correct)
0.7:   Planar Strong Visibility - Fink   (Correct)
0.6:   Three-Dimensional Restricted-Orientation Convexity - Fink, Wood (1996)   (Correct)

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13:   the definition and computation of rectilinear convex hulls (context) - Ottmann, Soisalon-Soininen et al. - 1984
12:   Preparata and Michael (context) - Franco - 1985
12:   Explorations in Restricted-Orientation Geometry (context) - Rawlins - 1987

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 Unpublished manuscript, 1995.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 Unpublished manuscript, 1995.",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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