Fundamentals of restricted-orientation convexity

DOI10.1016/0020-0255(96)00056-4zbMath0885.52002OpenAlexW2041547874MaRDI QIDQ1373390

Eugene Fink, Derick Wood

Publication date: 17 December 1997

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: http://repository.ust.hk/ir/bitstream/1783.1-56/1/tr9546.pdf

zbMATH Keywords

convexityorthogonal convexityrestricted-orientation convex set

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (5)

PLANAR STRONG VISIBILITY ⋮ A fast and efficient algorithm for determining the connected orthogonal convex hulls ⋮ On \(k\)-convex polygons ⋮ Computing \(D\)-convex hulls in the plane ⋮ Determination of Q-convex bodies by X-rays

Cites Work

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• On the definition and computation of rectilinear convex hulls
• On the X-Y convex hull of a set of X-Y polygons
• Restricted-oriented convex sets
• Generalized halfspaces in restricted-orientation convexity
• Strong restricted-orientation convexity
• Optimal computation of finitely oriented convex hulls
• A decompositin theorem for convexity spaces
• Staircase visibility and computation of kernels
• On Some Distance Problems in Fixed Orientations
• Optimal algorithms to compute the closure of a set of iso-rectangles
• Dynamic C-oriented polygonal intersection searching
• A fast algorithm for testing for safety and detecting deadlocks in locked transaction systems
• On L n Sets, the Hausdorff Metric, and Connectedness
• Local Convexity and L n Sets
• What is a Convex Set?

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