Good approximation of circles by curvature-continuous Be´zier curves
Computer Aided Geometric Design
Approximation of circular arcs by cubic polynomials
Computer Aided Geometric Design
Ten lectures on wavelets
A metric for parametric approximation
Proceedings of the international conference on Curves and surfaces in geometric design
Geometric Hermite interpolation
Computer Aided Geometric Design
An O(h2n) Hermite approximation for conic sections
Computer Aided Geometric Design
A general framework for high-accuracy parametric interpolation
Mathematics of Computation
Optimal geometric Hermite interpolation of curves
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
G3 approximation of conic sections by quintic polynomial curves
Computer Aided Geometric Design
A parametric quartic spline interpolant to position, tangent and curvature
Computing - Geometric modelling dagstuhl 2002
An approximation of circular arcs by quartic Bézier curves
Computer-Aided Design
A simple method for approximating rational Bézier curve using Bézier curves
Computer Aided Geometric Design
Computational Geometry: Theory and Applications
Sample-based polynomial approximation of rational Bézier curves
Journal of Computational and Applied Mathematics
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We show that many rational parametric curves can be interpolated, in a Hermite sense, by polynomial curves whose degree, relative to the number of data being interpolated, is lower than usual. The construction unifies and generalizes the families of circle and conic approximations of Lyche and Mørken and the author in which the approximation order is twice the degree of the polynomial.