이차 F-베지에 곡선의 등매개변수 곡선의 성질에 관한 연구

Abstract

In this thesis, we consider isoparametric curves of quadratic F-Bezier curves. F-Bezier curves unify C-Bezier curves whose basis is and H-Bezier curves whose basis is . Thus F-Bezier curves are more useful in Geometric Modeling or CAGD(Computer Aided Geometric Design). We derive the relation of quadratic F-Bezier curves and quadratic rational Bezier curves. We also obtain the geometric properties of isoparametric curve of the quadratic F-Bezier curves at both end points and prove the continuity of the isoparametric curve.

Key Words : F-Bezier curve, quadratic rational Bezier curve, isoprametric curve of quadratic F-Bezier curve.