Issue No. 05 - May (1984 vol. 6)
Chul E. Kim , Department of Computer Science, Washington State University, Pullman, WA 99164.
Definitions of 3-D digital surface and plane are introduced. Many geometric properties of these objects are examined. In particular, it is shown that digital convexity is neither a necessary nor a sufficient condition for a digital surface element to be a convex digital plane element, but it is both necessary and sufficient for a digital surface to be a digital plane. Also algorithms are presented to determine whether or not a finite set of digital points is a (convex) digital plane element.
C. E. Kim, "Three-Dimensional Digital Planes," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 6, no. , pp. 639-645, 1984.