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La curva de Bézier es infinitamente derivable.


A Bézier curve is a parametric curve frequently used in computer graphics and related fields. In vector graphics, Bézier curves are used to model smooth curves that can be scaled indefinitely.


(Reblogged from thecindykelly) via: wikipedia


Las curvas de Bézier
se sabe
son las más sensuales



\mathbf{B}(t)=\sum_{i=0}^n {n\choose i}\mathbf{P}_i(1-t)^{n-i}t^i =\mathbf{P}_0(1-t)^n+{n\choose 1}\mathbf{P}_1(1-t)^{n-1}t+\cdots+\mathbf{P}_nt^n \mbox{ , } t \in [0,1].

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