
doi: 10.1007/bf03008905
We described a relationship of theL2 norm of a Bezier curve andl2 norm of its control points. The use of Bezier curves finds much application in the general description of curves and surfaces and provided the mathematical basis for many computer graphics system. We define theL2 norm for Bezier curves and find a upper and lower bound for theL2 norm with respect to thel2 norm of its control points for easy computation.
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