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Mathematical foundations of Bézier's technique

✍ Scribed by Gengzhe Chang; Junheng Wu


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
230 KB
Volume
13
Category
Article
ISSN
0010-4485

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Subdivision of the Bézier curve
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Any segment between two points on a BCzier curve is itself a Bezier curve whose BCzier polygon is expressed explicitly in terms of the sides of the BCzier polygon associated with the original curve.

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## In this paper, subdivision methods for rectangular Be ´zier A rectangular Be ´zier surface of degree n ϫ m can be surfaces are generalized to subdivide a rectangular Be ´zier surface patch of degree n ؋ m into two rectangular Be ´zier sur-represented by face patches of degree n ؋ (m ؉ n), while