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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 [ (X(i, j), Y(i, j), Z(i, j))* B(i, n, u) * B(j, m, v)]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 Beziercurves, and share many of their properties.