2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.GT2012
Isotopic Equivalence from Bezier Curve Subdivision
J. Li, T. J . Peters, J. A. Roulier
We prove that the control polygon of a Bezier curve B becomes homeomorphic and ambient isotopic to B via subdivision, and we provide closed-form formulas to compute the number of i…
math.GT2012★ 1 cited
Topology during Subdivision of Bezier Curves I: Angular Convergence & Homeomorphism
J. Li, T. J. Peters, J. A. Roulier
For Bezier curves, subdivision algorithms create control polygons as piecewise linear (PL) approximations that converge in terms of Hausdorff distance. We prove that the exterior a…
math.GT2012★ 2 cited
Angular Convergence during Bezier Curve Approximation
J. Li, T. J. Peters, J. A. Roulier
Properties of a parametric curve in R^3 are often determined by analysis of its piecewise linear (PL) approximation. For Bezier curves, there are standard algorithms, known as subd…