Isoparametric Curve of Quadratic F-Bézier Curve

Abstract

AbstractIn this thesis, we consider isoparametric curves of quadratic F-Bezier curves. F-Bezier curves unify C-Bezier curves whose basis is aš•
’iŠ–š
’i
’iIae and H-Bezier curves whose basis is aš•
’iŠ–š
’i
’iIae . Thus F-Bezier curves are more useful in Geometric Modeling or CAGD(Computer Aided Geometric Design). We derive the relation between the quadratic F-Bezier curves and the quadratic rational Bezier curves. We also obtain the geometric properties of isoparametric curve of the quadraticF-Bezier curves at both end points and prove the continuity of the isoparametric curve. Key words : F-Bezier Curve, Quadratic Rational Bezier Curve, Isoparametric Curve, Q-Bezier Curve, H-Bezier Curve 1 Graduate School of Education, Chosun University, Gwangju 501-759, Korea 2 Department of Mathematics Education, Chosun University, Gwangju 501-759, Korea † Corresponding Author : ahn@chosun.ac.kr(Received : January 2, 2013, Revised : March 20, 2013, Accepted : March 25, 2013) 1. Introduction C-Bezier curve