31 search results - page 1 / 7 » High order approximation of rational curves by polynomial cu... |
CAGD
2006
13 years 5 months ago
2006
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 lowe...
AAECC
2007
Springer
13 years 5 months ago
2007
Springer
Abstract We describe a method to approximate a segment of the intersection curve of two implicitly defined surfaces by a rational parametric curve. Starting from an initial soluti...
AAECC
2007
Springer
13 years 5 months ago
2007
Springer
We present an approximate implicitization method for planar curves. The computed implicit representation is a piecewise rational approximation of the distance function to the given...
TCS
2008
13 years 5 months ago
2008
This paper studies shapes (curves and surfaces) which can be described by (piecewise) polynomial support functions. The class of these shapes is closed under convolutions, offsett...
CAGD
2007
13 years 5 months ago
2007
In this paper, geometric interpolation of certain circle-like curves by parametric polynomial curves is studied. It is shown that such an interpolating curve of degree n achieves ...