Abstract
The study of convex sets is a branch of geometry, analysis and linear algebra, which has numerous connections with other areas of mathematics, including topology, number theory and combinatorics [6, 14, 21]. Researchers have explored not only mathematical properties of convex sets, but also related computational problems [5, 13, 34], and applied the resulting algorithms in many practical areas, such as graphics, finite-element analysis, VLSI design and motion planning. They have also studied several types of nontraditional convexity, such as ortho-convexity [28, 30], restricted-orientation convexity [35], NESW convexity [25, 49, 50] and link convexity [2, 52].
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© 2004 Springer-Verlag Berlin Heidelberg
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Fink, E., Wood, D. (2004). Introduction. In: Restricted-Orientation Convexity. Monographs in Theoretical Computer Science. An EATCS Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18849-7_1
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DOI: https://doi.org/10.1007/978-3-642-18849-7_1
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