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| | Bézier Curves in Bernstein Form |
 | | Bernstein polynomials: The Bernstein polynomials of degree n are defined by |
 | | Generalized Bernstein polynomials: Recall that every point p in the interior of a triangle with vertices U, V, and W can be expressed in terms of the barycentric coordinates (u,v,w) which are determined by p(u,v,w) = uU + vV + wW, subject to the constraints u+v+w=1; u,v,w > 0. |
 | | Since the generalized Bernstein polynomials are linearly independent, they form a basis for an (n+1)(n+2)/2 dimensional linear subspace of the space of polynomials of degree (n, n). |
| www.math.hmc.edu /~gu/math142/mellon/Application_to_CAGD/Bezier_curves/Bernstein_Form.html (395 words) |
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