December 2012
Intermediate to advanced
631 pages
13h 10m
English
Content preview from Graphics Gems III (IBM Version)
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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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