Issue No. 05 - May (1984 vol. 6)
L. Dorst , Pattern Recognition Group, Department of Applied Physics. Delft University of Technology, Delft, The Netherlands.
R. P. W. Duin , Pattern Recognition Group, Department of Applied Physics. Delft University of Technology, Delft, The Netherlands.
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.
R. P. Duin and L. Dorst, "Spirograph Theory: A Framework for Calculations on Digitized Straight Lines," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 6, no. , pp. 632-639, 1984.