Paul de Casteljau

Paul De Casteljau (出生在貝桑松,法國1930年),雪鐵龍的物理學家和數學家,在1959年,發明了一種估算Bézier曲線的計算方法。

本書的作者曹數學等。火山。臘謎贈 2:福默斯從Hermes à極點。德享辯欠Casteljau算法被廣泛使用,但它可能通過一些修改了。德Casteljau算法付乎應是最強大和雄蜜她轎穩定的數值多項式評價方法,儘管它是計算比其他方法,詢記如霍納的方法,單點慢(更快,更強大)和前向差分(最快乘精享舟,最可旬戒贈靠)。然而,德Casteljau算法仍然非常快的subdiving分成兩個曲線段參數在任意位置的Bézier曲線。
Paul De Casteljau (born 1930 in Besançon, France), a physicist and mathematician at Citroën, developed an algorithm for computation of a Bézier curve, in 1959. Author of the book Mathématiques et CAO. Vol. 2: Formes à pôles from Hermes. De Casteljau's algorithm is widely used although it might have gone through some modifications. De Casteljau's algorithm is the most robust and numerically stable method for evaluating polynomials, though it is slower for computing a single point than other methods, such as Horner's method (faster, less robust) and forward differencing (fastest, least robust). However, De Casteljau's algorithm is still very fast for subdiving a Bézier curve into two curve segments at an arbitrary parametric location.

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