Geometric characteristics of conics in Bézier form
نویسندگان
چکیده
منابع مشابه
Geometric characteristics of conics in Bézier form
In the Bézier formalism, an arc of a conic is a rational curve of degree 2 with control polygon {P, Q, R} for which the weights can be normalized to {1, w, 1}. The parametrization of the conic arc is C(t) = (1 − t) 2 P + 2wt(1 − t)Q + t 2 R (1 − t) 2 + 2wt(1 − t) + t 2 , t ∈ [0, 1]. Abstract Synthetic derivation of closed for-mulae of the geometric characteristic of a conic given in Bézier form...
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ژورنال
عنوان ژورنال: Computer-Aided Design
سال: 2011
ISSN: 0010-4485
DOI: 10.1016/j.cad.2011.08.025