title: Spirograph theory: a framework for calculations on digitized straight lines.
abstract: Using diagrams called ``spirographs'' a general theory is developed with which one can easily perform calculations on various aspects of digitized straight lines. The mathematics of the theory establishes a link between digitized straight lines and the theory of numbers (Farey series, continued fractions). To show that spirograph theory is a useful unification, we derive two previously known advanced results within the framework of the theory, and new results concerning the accuracy in position of a digitized straight line as a function of its slope and length.
authors.affiliation: Pattern Recognition Group, Department of Applied Physics. Delft University of Technology, Delft, The Netherlands.
authors.forename: L
authors.initials: L
authors.lastname: Dorst
authors.forename: R P
authors.initials: RP
authors.lastname: Duin