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Keywords:
Bézier curve; rational Bézier curve; curve of genus 0; integral point
Bézier curve; rational Bézier curve; curve of genus 0; integral point
Summary:
In this paper we consider rational Bézier curves with control points having rational coordinates and rational weights, and we give necessary and sufficient conditions for such a curve to have infinitely many points with integer coefficients. Furthermore, we give algorithms for the construction of these curves and the computation of theirs points with integer coefficients.
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