数学建模社区-数学中国
标题:
[求助]coons曲面的程序
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作者:
linkx22
时间:
2008-6-24 21:26
标题:
[求助]coons曲面的程序
<p>求coons曲面除mathematic之外的程序~只要能画出来就行！！！谢谢了！！！</p><p>我有mathematic的程序~能改编成其它程序的也可以.~谢谢了！！</p><p>\!\(\[Phi]\_1[t_] := \(\((1 - t)\)\^2\) \((2\ \ t + 1)\)\n<br/> \[Phi]\_2[t_] := \(t\^2\) \((\(-2\)\ \ t + 3)\)\n<br/> \[Phi]\_3[t_] := t\ \ \((1 - t)\)\^2\n<br/> \[Phi]\_4[t_] := \((t - 1)\)\ \ t\^2\[IndentingNewLine]<br/> \(\((P_\[SmallCircle]Q_)\)[F_]\)[u_, v_] := \(P[Q[F]]\)[u, <br/> v]\[IndentingNewLine]<br/> \(\((P_\ \[CirclePlus]Q_)\)[F_]\)[u_, <br/> v_] := \(P[F]\)[u, v] + \(Q[F]\)[u, v] - \(\((P\[SmallCircle]Q)\)[F]\)[<br/> u, v]\[IndentingNewLine]<br/> \(P1[F_]\)[u_, <br/> v_] := \[Phi]\_1
F[0, v] + \[Phi]\_2
<br/> F[1, v] + \[Phi]\_3
\((D[F[u, v], u] /. u -> 0)\) + \[Phi]\_4[<br/> u] \((D[F[u, v], u] /. u -> 1)\)\[IndentingNewLine]<br/> \(P2[F_]\)[u_, <br/> v_] := \[Phi]\_1[v] F[u, 0] + \[Phi]\_2[v] <br/> F[u, 1] + \[Phi]\_3[v] \((D[F[u, v], v] /. v -> 0)\) + \[Phi]\_4[<br/> v] \((D[F[u, v], v] /. v -> 1)\)\[IndentingNewLine]<br/> F[x_, y_] := 3 x\^3 + y\^2 + 1\[IndentingNewLine]<br/> p[u_, v_] = \(\((P1\[CirclePlus]P2)\)[F]\)[u, v]\[IndentingNewLine]<br/> Plot3D[p[u, v], {u, 0, 1}, {v, 0, 1}]\)</p><p>\!\(9\ \((\(-1\) + u)\)\ u\^2 + \((2 + 3\ u\^3)\)\ \((3 - 2\ v)\)\ v\^2 + <br/> 2\ \((\(-1\) + v)\)\ v\^2 + \((1 + 3\ u\^3)\)\ \((1 - v)\)\^2\ \((1 + <br/> 2\ v)\) + \((1 - u)\)\^2\ \((1 + 2\ u)\)\ \((1 + v\^2)\) + \((3 - <br/> 2\ u)\)\ u\^2\ \((4 + v\^2)\) - \((1 - u)\)\^2\ \((1 + <br/> 2\ u)\)\ \((2\ \((3 - 2\ v)\)\ v\^2 + <br/> 2\ \((\(-1\) + v)\)\ v\^2 + \((1 - v)\)\^2\ \((1 + <br/> 2\ v)\))\) - \((3 - <br/> 2\ u)\)\ u\^2\ \((5\ \((3 - 2\ v)\)\ v\^2 + <br/> 2\ \((\(-1\) + v)\)\ v\^2 + <br/> 4\ \((1 - v)\)\^2\ \((1 + 2\ v)\))\) - \((\(-1\) + <br/> u)\)\ u\^2\ \((9\ \((3 - 2\ v)\)\ v\^2 + <br/> 9\ \((1 - v)\)\^2\ \((1 + 2\ v)\))\)\)</p><p></p>
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