meaning of bezier surface

1. Bezier surface A surface defined by mathematical formulae, used in computer graphics. A surface Pu, v, where u and v vary orthogonally from 0 to 1 from one edge of the surface to the other, is defined by a set of n+1*m+1 "control points" Xi, j, Yi, j, Zi, j for i = 0 to n, j = 0 to m. Pu, v = Sum i=0. . n Sum j=0. . m [ Xi, j, Yi, j, Zi, j * Bi, n, u * Bj, m, v] Bi, n, u = Cn, i * u^i * 1-u^n-i Cn, 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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