High-order approximation of conic sections by quadratic splines
M Floater - Computer Aided Geometric Design, 1995 - Elsevier
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 …
approximation is constructed and an explicit error bound is derived. The convergence order …
An approximation of circular arcs by quartic Bézier curves
SH Kim, YJ Ahn - Computer-Aided Design, 2007 - Elsevier
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 …
Using an alternative error function, we give the closed form of the Hausdorff distance …
[HTML][HTML] Approximation of circular arcs and offset curves by Bézier curves of high degree
YJ Ahn, Y Soo Kim, Y Shin - Journal of Computational and Applied …, 2004 - Elsevier
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 …
The approximation method is a special case of Floater's conic approximation method …
Approximation of circular arcs by Bézier curves
YJ Ahn, HO Kim - Journal of Computational and Applied Mathematics, 1997 - Elsevier
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 …
approximation and the best GC2 quartic approximations of various types, and give the …
High accuracy approximation of helices by quintic curves
X Yang - Computer Aided Geometric Design, 2003 - Elsevier
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 …
or quintic rational Bézier curves based on the geometric Hermite interpolation technique in …
[HTML][HTML] Piecewise quartic polynomial curves with a local shape parameter
X Han - Journal of Computational and Applied Mathematics, 2006 - Elsevier
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 …
paper. The given blending function is an extension of the cubic uniform B-splines. The …
Circular arc approximation by quintic polynomial curves
L Fang - Computer Aided Geometric Design, 1998 - Elsevier
This paper presents methods for approximating circular arcs using quintic polynomial
curves. Different boundary conditions are considered in the approximation methods, thus …
curves. Different boundary conditions are considered in the approximation methods, thus …
A general framework for high-accuracy parametric interpolation
K Mørken, K Scherer - Mathematics of Computation, 1997 - ams.org
In this paper we establish a general framework for so-called parametric, polynomial,
interpolation methods for parametric curves. In contrast to traditional methods, which …
interpolation methods for parametric curves. In contrast to traditional methods, which …
[PDF][PDF] Aspects of intersection algorithms and approximation
T Dokken - Doctor thesis, 1997 - researchgate.net
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 …
Institute for Industrial Research (SI) in Oslo, Norway. SI later merged with SINTEF, where I …
Circular arc approximation by hexic polynomial curves
HM Yoon, YJ Ahn - Computational and Applied Mathematics, 2023 - Springer
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 …
contacts with the circular arc. We present two methods for obtaining G k approximation …