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Digital planarity of rectangular surface segments

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1 Author(s)
Veelaert, P. ; Dept. of Electron. & Inf. Syst., Ghent Univ., Belgium

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

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:16 ,  Issue: 6 )