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The number of digital straight lines on an N×N grid

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3 Author(s)
J. Koplowitz ; Dept. of Electr. & Comput. Eng., Clarkson Univ., Potsdam, NY, USA ; M. Lindenbaum ; A. Bruckstein

The number of digital straight lines on an N×N grid is shown. A digital straight line is equivalent to a linear dichotomy of points on a square grid. The result is obtained by determining a way of counting the number of linearly separable dichotomies of points on the plane that are not necessarily in general position. The analysis is easily modified to provide a simple solution to a similar problem considered by C. Berenstein and D. Lavine (1988) on the number of digital straight lines from a fixed starting point

Published in:

IEEE Transactions on Information Theory  (Volume:36 ,  Issue: 1 )