Treffer: M.Tamer Ozsu and Patrick Valduriez, Principles of distributed database systems

In this paper we prove that digital plane segments and their on the xy-plane are bounded regions, called bases of digital plane segments. So, if the plane � is digitized and if a least-squares plane fit are in one-to-one correspondence, which region Q in the xy-plane is given, then the digital plane gives a simple representation of a digital plane segment by its base description and coefficients of the least-squares plane fit. This leads to a constant space representation of digital rectan-segment P(�, Q) (more precisely, digital plane segment with the base Q) is defined as gles in space. The method used is generalized and modified for constant space representation of sets which may consists of P(�, Q) � �(i, j, ⎣Ai � Bj � C⎦), (i, j) � Q where i and j are integers�. digital surface segments of different kinds. © 1996 Academic Press, Inc. 1.