III.7

INTERPOLATION USING BÉZIER CURVES

Gershon Elber,     Computer Science Department, University of Utah

Publisher Summary

The Bézier representation is well-known and frequently used for computer-aided design (CAD) applications, as it possesses extremely useful properties. This chapter discusses several important properties of the Bézier representation, such as control polygon convex hull curve bounding, intuitive curve shape control using control points, and the variation-diminishing property. The Bézier representation is a very useful tool for CAD applications. A Bézier curve only approximates the shape of its control polygon. If an interpolation scheme is required, that representation cannot usually be used. It may be desired to find ...

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