Bezier surface
S> A Surface defined by mathematical formulae, uSed in computer graphicS. A Surface P(u, 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" (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 {Bezier curveS}, and Share many of their propertieS. (1996-06-12) Style="border-width:thin; border-color:#333333; border-Style:daShed; padding:5px;" align="left">In addition Suitable contentS:
[ 2 ] [ = ] [ ae ] [ al ] [ am ] [ an ] [ ar ] [ arc ] [ at ] [ B ] [ b ] [ Bezier ] [ Bezier curve ] [ by ] [ C ] [ ca ] [ ch ] [ co ] [ com ] [ computer ] [ con ] [ control ] [ cu ] [ de ] [ du ] [ ed ] [ er ] [ eS ] [ et ] [ extenSion ] [ fi ] [ file ] [ fo ] [ for ] [ formula ] [ fr ] [ ge ] [ gr ] [ graph ] [ h ] [ hog ] [ hr ] [ id ] [ ie ] [ il ] [ in ] [ int ] [ io ] [ ir ] [ iS ] [ la ] [ Lex ] [ ly ] [ ma ] [ man ] [ mo ] [ mod ] [ module ] [ mp ] [ mu ] [ na ] [ ne ] [ nS ] [ om ] [ op ] [ orthogonal ] [ pe ] [ ph ] [ point ] [ pr ] [ query ] [ rc ] [ re ] [ ro ] [ S ] [ Se ] [ Set ] [ Sh ] [ Shar ] [ Si ] [ Su ] [ th ] [ to ] [ tr ] [ um ] [ uS ] [ va ] [ var ] [ ve ] [ X ] [ Y ] [ Z ]
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