Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
The circle as a smoothly joined BR-curve on [0,1]
Computer Aided Geometric Design
Computer Aided Geometric Design
A vegetarian approach to optimal parameterizations
Computer Aided Geometric Design
A Menagerie of Rational B-Spline Circles
IEEE Computer Graphics and Applications
Accurate Parametrization of Conics by NURBS
IEEE Computer Graphics and Applications
Sampling points on regular parametric curves with control of their distribution
Computer Aided Geometric Design
Rational quadratic circles are parametrized by chord length
Computer Aided Geometric Design
Computation of optimal composite re-parameterizations
Computer Aided Geometric Design
Improving angular speed uniformity by optimal C0 piecewise reparameterization
CASC'12 Proceedings of the 14th international conference on Computer Algebra in Scientific Computing
| Hi-index | 0.00 |
This short note presents a simple analytical solution to the problem of determining the optimal parameterization of rational quadratic curves. Optimality is measured with respect to arc length by means of the L"2-norm. The presented result is based on a method of Farouki [Farouki, R.T., 1997. Optimal parameterizations. Computer Aided Geometric Design 14, 153-168] and Juttler [Juttler, B., 1997. A vegetarian approach to optimal parameterizations. Computer Aided Geometric Design 14, 887-890], who solve the optimal parameterization problem analytically in the case of polynomial curves, but suggest a numerical procedure for rational curves.