On Limit Properties in Digitization Schemes
Journal of the ACM (JACM)
Convex hulls of finite sets of points in two and three dimensions
Communications of the ACM
Digital Picture Processing
Digital disks and a digital compactness measure
STOC '84 Proceedings of the sixteenth annual ACM symposium on Theory of computing
Digital straightness: a review
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
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We define straightness and convexity of regions in a digital picture. Then it is shown that a few important properties satisfied by convex (Euclidean) regions are also satisfied by convex digital regions. We extend the definition of digital convexity of regions to digital solids. Efficient algorithms are presented that determine whether or not a digital region is convex, a digital arc is a digital straight line segment and a digital solid is convex.