Geometric Properties of Ribs and Fans of a Bezier Curve

Geometric Properties of Ribs and Fans of a Bézier Curve

Ribs and fans are interesting geometric entities that are derived from a given Béezier curve or surface based on the recent theory of rib and fan decomposition. In this paper, we present some of new geometric properties of ribs and fans for a Béezier curve including composite fans, rib-invariant deformation, and fan-continuity in subdivision. We also give some examples for the presented properties. A preliminary version of this paper appeared in Proc. the 1st Korea-China Joint Conference on Geometric and Visual Computing. Joo-Haeng Lee received his B.S., M.S., and Ph.D. degrees in computer science from POSTECH, Korea, in 1994, 1996 and 1999, respectively. He joined ETRI (Electronics and Telecommunications Research Institute), Korea in 1999, and is currently a senior researcher at Digital Contents Division. His research interests include geometric modeling and processing algorithms for computer graphics, CAD, and robotics. Hyungjun Park is a professor of industrial engineering at Chosun University, Korea. He received his B.S., M.S., and Ph.D. degrees in industrial engineering from POSTECH, Korea, in 1991, 1993, and 1996, respectively. From 1996 to 2001, he worked as a senior researcher at Samsung Electronics, Korea. His current research interests include geometric modeling, computational geometry, reverse engineering, bio-medical engineering, virtual prototyping, and CAD/CAM.