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Microsoft® Silverlight® Edition: Programming Windows® Phone 7 by Charles Petzold

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Bézier Curves

Pierre Etienne Bézier (1910–1999) was an engineer at the French automobile company Renault from 1933 to 1975. During the 1960s the company started switching over from designing car bodies with clay to using computer-assisted design. The system required mathematical descriptions of curves that engineers could manipulate without knowing the underlying mathematics. From this work came the curve that now bears Pierre Bézier’s name.

The Bézier curve is a spline, which is a type of curve used to approximate discrete data with a smooth continuous function. Silverlight supports the standard two-dimensional form of the cubic Bézier curve but also a quadratic Bézier curve that is somewhat simpler and faster, so I’ll discuss that one first. ...

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