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. 1982 Jun;4(6):612-8.
doi: 10.1109/tpami.1982.4767314.

Convex digital solids

C E Kim  1 , A Rosenfeld
Affiliations

Convex digital solids

C E Kim et al. IEEE Trans Pattern Anal Mach Intell. 1982 Jun.

Abstract

A definition of convexity of digital solids is introduced. Then it is proved that a digital solid is convex if and only if it has the chordal triangle property. Other geometric properties which characterize convex digital regions are shown to be only necessary, but not sufficient, conditions for a digital solid to be convex. An efficient algorithm that determines whether or not a digital solid is convex is presented.

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