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PSTricks 3D 描画 - パラメータの調整

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PSTricks 3D 描画 - パラメータの調整

次のコードを考えてみましょう。

\documentclass{article}

\usepackage{pst-solides3d}

\begin{document}

\psset{viewpoint = 15 -30 11, Decran = 10}
\begin{pspicture}[solidmemory](-8.25,-1)(5.3,2.05)
  \psSolid[object = point, args = 15.5 3 7.3, name = L]
  \psSolid[object = point, args = -55 2 3.5,  name = R]
  \psSolid[object = line, linecolor = red!50, linestyle = dashed, linewidth = 2pt, args = R L]
  \psSolid[object = parallelepiped, a = 6.0, b = 6.0, c = 6.5, RotZ = -15, fillcolor = blue!50, name = parallelepipedum, action = draw*](0 0 1.5)
  \multido{\iA = 0+1}{8}{%
    \psSolid[object = point, linecolor = black, definition = solidgetsommet, args = parallelepipedum \iA, name = C\iA]
   \psset{object = line, linecolor = darkgray!50, linestyle = dotted}
    \psSolid[args = L C\iA]
    \psSolid[args = R C\iA]
  }
  \psSolid[object = parallelepiped, a = 6.0, b = 6.0, c = 6.5, RotZ = -15, name = parallelipipidum, action = draw](0 0 1.5)
  \multido{\iB = 0+1}{4}{%
    \psSolid[object = point, definition = solidgetsommet, args = parallelipipidum \iB, name = Top\iB, action = none]
  }
  \psSolid[object = line, args = Top0 Top2]
  \psSolid[object = line, args = Top1 Top3]
  \psSolid[object = point, definition = solidcentreface, args = parallelipipidum 0]
\end{pspicture}

\end{document}

出力

破線の灰色の線の各ペアが互いにぴったり重なるようにパラメータを微調整するのを手伝ってくれる人はいませんか。

長い間試してきましたが、わかりません。:(

問題のパラメータはargs = 15.5 3 7.3、、、args = -55 2 3.5およびであることを指摘しておく必要があります。( 、、、およびa = 6.0, b = 6.0, c = 6.5, RotZ = -15の値は、2 つのオブジェクトで同じである必要があります。)abcRotZ

答え1

  1. 地面と平行な線の消失点は目の高さにあるため、オブジェクトzの位置はの値pointと等しくする必要があります。zviewpoint
  2. 水平角を指す線の消失点はthetaにありますx=tan(theta)*yv + xv。ここでyv、および は のおよび成分xvです。xyviewpoint
  3. 消失点は地平線上にあり、その位置は ですy=0。

したがって、 の視点15 -30 11と の直方体の回転に対して-15 degrees、消失点は23.04 0 11とにあります-96.96 0 11。

\documentclass{article}

\usepackage{pst-solides3d}

\begin{document}

\psset{viewpoint = 15 -30 11, Decran = 6}
\begin{pspicture}[solidmemory](-8.25,-1)(5.3,2.05)
  \psSolid[object = point, args = 23.04 0 11, name = L]
  \psSolid[object = point, args = -96.96 0 11,  name = R]
  \psSolid[object = line, linecolor = red!50, linestyle = dashed, linewidth = 2pt, args = R L]
  \psSolid[object = parallelepiped, a = 8.0, b = 8.0, c = 8.5, RotZ = -15, fillcolor = blue!50, name = parallelepipedum, action = draw*](0 0 1.5)
  \multido{\iA = 0+1}{8}{%
    \psSolid[object = point, linecolor = black, definition = solidgetsommet, args = parallelepipedum \iA, name = C\iA]
   \psset{object = line, linecolor = darkgray!50, linestyle = dotted}
    \psSolid[args = L C\iA]
    \psSolid[args = R C\iA]
  }
  \psSolid[object = parallelepiped, a = 8.0, b = 8.0, c = 8.5, RotZ = -15, name = parallelipipidum, action = draw](0 0 1.5)
  \multido{\iB = 0+1}{4}{%
    \psSolid[object = point, definition = solidgetsommet, args = parallelipipidum \iB, name = Top\iB, action = none]
  }
  \psSolid[object = line, args = Top0 Top2]
  \psSolid[object = line, args = Top1 Top3]
  \psSolid[object = point, definition = solidcentreface, args = parallelipipidum 0]
\end{pspicture}

\end{document}

関連情報