Bezier surface

(graphics)A surface defined by mathematical formulae, used incomputer graphics. A surface P(u, v), where u and v varyorthogonally from 0 to 1 from one edge of the surface to theother, is defined by a set of (n+1)*(m+1) "control points"(X(i, j), Y(i, j), Z(i, j)) for i = 0 to n, j = 0 to m.

P(u, v) = Sum i=0..n Sum j=0..m [

B(i, n, u) = C(n, i) * u^i * (1-u)^(n-i)

C(n, i) = n!/i!/(n-i)!

Bezier surfaces are an extension of the idea of Bezier curves, and share many of their properties.

单词	bezier surface
释义	Bezier surface Bezier surface (graphics)A surface defined by mathematical formulae, used incomputer graphics. A surface P(u, v), where u and v varyorthogonally from 0 to 1 from one edge of the surface to theother, is defined by a set of (n+1)(m+1) "control points"(X(i, j), Y(i, j), Z(i, j)) for i = 0 to n, j = 0 to m. P(u, v) = Sum i=0..n Sum j=0..m [* B(i, n, u) = C(n, i) * u^i * (1-u)^(n-i) C(n, i) = n!/i!/(n-i)! Bezier surfaces are an extension of the idea of Bezier curves, and share many of their properties.
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