Given a segment of a conic section in the form of a rational Bézier curve, a quadratic spline
approximation is constructed and an explicit error bound is derived. The convergence order …

In this paper we propose an approximation method for circular arcs by quartic Bézier curves.
Using an alternative error function, we give the closed form of the Hausdorff distance …

In this paper, we present an exact error analysis for circle approximation by Bézier curve.
The approximation method is a special case of Floater's conic approximation method …

For the circular arc of angle 0< α< π we present the explicit form of the best GC3 quartic
approximation and the best GC2 quartic approximations of various types, and give the …

In this paper we present methods for approximating a helix segment by quintic Bézier curves
or quintic rational Bézier curves based on the geometric Hermite interpolation technique in …

Piecewise quartic polynomial curves with a local shape parameter are presented in this
paper. The given blending function is an extension of the cubic uniform B-splines. The …

This paper presents methods for approximating circular arcs using quintic polynomial
curves. Different boundary conditions are considered in the approximation methods, thus …

In this paper we establish a general framework for so-called parametric, polynomial,
interpolation methods for parametric curves. In contrast to traditional methods, which …

My work on intersection algorithms started in 1978 when I was employed at the Central
Institute for Industrial Research (SI) in Oslo, Norway. SI later merged with SINTEF, where I …

In this paper we consider a circular arc approximation by hexic polynomial curves having 12
contacts with the circular arc. We present two methods for obtaining G k approximation …