Yves
Mineur

University
of Valenciennes

CNRS UMR8530 LAMIH

59313 Valenciennes - France

e-mail:
yves.mineur@univ-valenciennes.fr |
http://www.univ-valenciennes.fr |

**Keywords:** Styling surfaces, Curve fairing, Monotone curvature, Shape preservation.

**Abstract**

The problem of
styling surfaces modeling is tackled. An approach based on section curves
fairing is chosen. The concept of template curves is developed for
approximating profiles with a monotone curvature variation. Constrained Bezier
curves called typical curves are used for that. A curve growing process based on a G^{2} typical curve fitting method, is investigated. It consists first in
determining a seed curve element then by a succession of extrapolating and
fitting operations, to generate a curve segment with a given monotone curvature
variation fitted locally to a data points set.