Reparameterization of piecewise rational Bezier curves and its applications |
| |
Authors: | Yoshimasa Tokuyama Kouichi Konno |
| |
Affiliation: | (1) RICOH Co., Ltd. Software Research Center, 1-1-17 Koishikawa, Bunkyo-ku, Tokyo 112-0002, Japan E-mail: tei@src.ricoh.co.jp, JP;(2) Lattice Technology Inc., Internet Graphics Division, 3-8-11 Kudan-Minami, Chiyoda-ku, Tokyo 102-0074, Japan E-mail: kkon@net.email.ne.jp, JP |
| |
Abstract: | degree . Although the curve segments are C
1 continuous in three dimensions, they may be C
0 continuous in four dimensions. In this case, the multiplicity of each interior knot cannot be reduced and the B-spline basis
function becomes C
0 continuous. Using a surface generation method, such as skinning these kinds of rational B-spline curves to construct an interpolatory
surface, may generate surfaces with C
0 continuity. This paper presents a reparameterization method for reducing the multiplicity of each interior knot to make the
curve segments C
1 continuous in four dimensions. The reparameterized rational B-spline curve has the same shape and degree as before and also
has a standard form. Some applications in skinned surface and ruled surface generation based on the reparameterized curves
are shown.
Published online: 19 July 2001 |
| |
Keywords: | : Piecewise rational Bezier curve – Rational B-spline curve – Reparameterization – Skinning – Ruled |
本文献已被 SpringerLink 等数据库收录! |
|