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A Parametrization of Digital Planes by Least-Squares Fits and Generalizations

✍ Scribed by Reinhard Klette; Ivan Stojmenović; Joviša Žunić

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
290 KB
Volume
58
Category
Article
ISSN
1077-3169

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✦ Synopsis

on the xy-plane are bounded regions, called bases of digital plane segments. So, if the plane Ͱ is digitized and if a

In this paper we prove that digital plane segments and their 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 segment P(Ͱ, Q) (more precisely, digital plane segment base description and coefficients of the least-squares plane fit. with the base Q) is defined as This leads to a constant space representation of digital rectangles in space. The method used is generalized and modified for P(Ͱ, Q) ϭ ͕(i, j, Ai ϩ Bj ϩ C), constant space representation of sets which may consists of (i, j) ʦ Q where i and j are integers͖.

digital surface segments of different kinds.

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