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Convex and anti-convex languages
International Journal of Computer Mathematics, 1998We define here the counterpart of Jensen convex and anti-convex sets of real numbers for the case of languages. We investigate the existence of languages consisting only of strings in which a set of symbols is convex or anti-convex, as well as the place of such languages in Chomsky hierarchy. Local convexity is also briefly investigated.
Jürgen Dassow +2 more
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The American Mathematical Monthly, 2002
(2002). A Convexity Inequality. The American Mathematical Monthly: Vol. 109, No. 1, pp. 64-70.
ROSELLI, PAOLO, Willem, M.
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(2002). A Convexity Inequality. The American Mathematical Monthly: Vol. 109, No. 1, pp. 64-70.
ROSELLI, PAOLO, Willem, M.
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Convex approximation to convex data [PDF]
, 1990 Summary: In the present paper we consider a problem of convexity (or concavity) preserving approximation of plane convex (or concave) data by use of simple rational splines of continuity class \(C^ 2\).
TOGASHI, Akira, SAKAI, Manabu
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Digital Convexity, Straightness, and Convex Polygons
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1982New schemes for digitizing regions and arcs are introduced. It is then shown that under these schemes, Sklansky's definition of digital convexity is equivalent to other definitions. Digital convex polygons of n vertices are defined and characterized in terms of geometric properties of digital line segments.
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