Issue No. 06 - June (1994 vol. 16)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/34.295909
<p>We generalize the concept of evenness which has been developed for digital straight lines. Evenness is a necessary and sufficient condition for a digital arc segment to be a digital straight line segment. We prove that evenness is also a necessary and sufficient condition for a rectangular surface segment to be a digital plane segment. This is not true for surface segments of arbitrary shape. To clarify the relation between shape and evenness we introduce the notion of a regular shape and of an arbitrarily extendable even set.</p>
computational geometry; rectangular surface segments; evenness; digital straight lines; necessary and sufficient condition; digital arc segment; digital plane segment; arbitrarily extendable even set
P. Veelaert, "Digital Planarity of Rectangular Surface Segments," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 16, no. , pp. 647-652, 1994.