[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.13160/ricns.2013.6.1.046

Isoparametric Curve of Quadratic F-Bézier Curve

Park, Hae Yeon (Graduate School of Education, Chosun University)
Ahn, Young Joon (Department of Mathematics Education, Chosun University)

Publication Information

Journal of Integrative Natural Science / v.6, no.1, 2013 , pp. 46-52 More about this Journal

Abstract

In this thesis, we consider isoparametric curves of quadratic F-B $\acute{e}$ zier curves. F-B $\acute{e}$ zier curves unify C-B $\acute{e}$ zier curves whose basis is {sint, cos t, t, 1} and H-B $\acute{e}$ zier curves whose basis is {sinht, cosh t, t,1}. Thus F-B $\acute{e}$ zier curves are more useful in Geometric Modeling or CAGD(Computer Aided Geometric Design). We derive the relation between the quadratic F-B $\acute{e}$ zier curves and the quadratic rational B $\acute{e}$ zier curves. We also obtain the geometric properties of isoparametric curve of the quadratic F-B $\acute{e}$ zier curves at both end points and prove the continuity of the isoparametric curve.

Keywords

F-B $\acute{e}$ zier Curve; Quadratic Rational B $\acute{e}$ zier Curve; Isoparametric Curve; Q-B $\acute{e}$ zier Curve; H-B $\acute{e}$ zier Curve;

Citations & Related Records

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