On computing Bézier curves by Pascal matrix methods
نویسندگان
چکیده
منابع مشابه
On computing Bézier curves by Pascal matrix methods
The main goal of the paper is to introduce methods which compute Bézier curves faster than Casteljau’s method does. These methods are based on the spectral factorization of a n×n Bernstein matrix, B n(s) = PnGn(s)P −1 n , where Pn is the n×n lower triangular Pascal matrix. So we first calculate the exact optimum positive value t in order to transform Pn in a scaled Toeplitz matrix, which is a p...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2011
ISSN: 0096-3003
DOI: 10.1016/j.amc.2011.05.007