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Issue No.06 - June (1994 vol.16)
pp: 647-652
ABSTRACT
<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>
INDEX TERMS
computational geometry; rectangular surface segments; evenness; digital straight lines; necessary and sufficient condition; digital arc segment; digital plane segment; arbitrarily extendable even set
CITATION
P. Veelaert, "Digital Planarity of Rectangular Surface Segments", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol.16, no. 6, pp. 647-652, June 1994, doi:10.1109/34.295909
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