Some remarks on Be´zier curves
Computer Aided Geometric Design
Good approximation of circles by curvature-continuous Be´zier curves
Computer Aided Geometric Design
Interpolation with piecewise quadratic visually C2 Be´zier polynomials
Computer Aided Geometric Design
Best approximations of parametric curves by splines
Mathematical methods in computer aided geometric design II
Rational geometric curve interpolation
Mathematical methods in computer aided geometric design II
High accurate rational approximation of parametric curves
Selected papers of the international symposium on Free-form curves and free-form surfaces
Chebyshev approximation of plane curves by splines
Journal of Approximation Theory
Best approximations of symmetric surfaces by biquadratic Be´zier surfaces
Computer Aided Geometric Design
High order approximation method for curves
Computer Aided Geometric Design
Geometric Hermite interpolation
Computer Aided Geometric Design
High-order approximation of conic sections by quadratic splines
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
Approximation of parametric surfaces
Journal of Approximation Theory
Optimal multi-degree reduction of Bézier curves with G2-continuity
Computer Aided Geometric Design
High-order approximation of implicit surfaces by G1 triangular spline surfaces
Computer-Aided Design
Sample-based polynomial approximation of rational Bézier curves
Journal of Computational and Applied Mathematics
Certified approximation of parametric space curves with cubic B-spline curves
Computer Aided Geometric Design
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In this paper we present an overview over the more recent developments of Geometric Hermite Approximation Theory for planar curves. A general method to solve those problems is presented. Emphasis is put on the relations to differential geometry and to invariance against parameter transformations and the motion group of the underlying geometry. However, besides a few elementary cases, this leads to nonlinear systems of algebraic equations.Furthermore we give some geometric interpretations, a couple of examples and a detailed discussion of the case degree n = 4 with one contact point.