Abstract
We described a relationship of theL 2 norm of a Bézier curve andl 2 norm of its control points. The use of Bézier curves finds much application in the general description of curves and surfaces and provided the mathematical basis for many computer graphics system. We define theL 2 norm for Bézier curves and find a upper and lower bound for theL 2 norm with respect to thel 2 norm of its control points for easy computation.
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This work was partially supported by the Institute of Basic Science of Seowon University, 1996 grant.
This work was partially supported by the Dongseo University.