Abstract
Digital plane and grid point segments are studied in parameter space. Concepts and results on digital straight line segments are extended to two dimensions. Properties of the domain in parameter space of the digital objects are derived. An algorithm, linear in the number of points, to obtain the domain of a given digital object is given. The connection with Diophantine approximations from the theory of numbers is established, number theoretical results are used and approximation algorithms are reviewed for our purpose. Application of the concept of digital grid point segments to processing of halftone pictures is outlined.
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