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1443019187 2015/09/23 23:39:47
\vec{B_n}&=&z_n\vec{d}+z_n x_n\vec{w}+z_n y_n\vec{h}\nonumber\\
\vec{C}&=&\vec{B_m}-\vec{B_n}\nonumber\\
C_1&=&z_m-z_n \nonumber\\
C_2&=&z_m x_m-z_n x_n\nonumber\\
C_3&=&z_m y_m-z_n y_n\nonumber\\
\vec{C}&=&C_1\vec{d}+C_2\vec{w}+C_3\vec{h}\nonumber\\
L_1&=&\vec{B_p}+s\vec{C}\nonumber\\
&=&(sC_1+z_p)\vec{d}+(sC_2+z_p x_p)\vec{w}+(sC_3+z_p y_p)\vec{h}\nonumber\\
&=&(sC_1+z_p)(\vec{d}+\frac{sC_2+z_p x_p}{sC_1+z_p}\vec{w}+\frac{sC_3+z_p y_p}{sC_1+z_p}\vec{h})\nonumber\\
L_2&=&\vec{B_q}+t\vec{C}\nonumber\\
&=&(tC_1+z_q)\vec{d}+(tC_2+z_q x_q)\vec{w}+(tC_3+z_q y_q)\vec{h}\nonumber\\
&=&(tC_1+z_q)(\vec{d}+\frac{tC_2+z_q x_q}{tC_1+z_q}\vec{w}+\frac{tC_3+z_q y_q}{tC_1+z_q}\vec{h})\nonumber\\
L_3&=&\frac{1}{2}(\vec{L_1}+\vec{L_2})\nonumber\\
&=&\frac{1}{2}(((s+t)C_1+z_p+z_q)\vec{d}+((s+t)C_2+z_p x_p+z_q z_q))\vec{w}+((s+t)C_3+z_p y_p+z_q y_q))\vec{h})\nonumber\\
&=&\frac{1}{2}((s+t)C_1+z_p+z_q)(\vec{d}+\frac{(s+t)C_2+z_p x_p+z_q z_q}{(s+t)C_1+z_p+z_q}\vec{w}+\frac{(s+t)C_3+z_p y_p+z_q y_q}{(s+t)C_1+z_p+z_q}\vec{h})\nonumber\\
&&\vec{d}+\frac{1}{2}(\frac{sC_2+z_p x_p}{sC_1+z_p}+\frac{tC_2+z_q x_q}{tC_1+z_q})\vec{w}+\frac{1}{2}(\frac{sC_3+z_p y_p}{sC_1+z_p}+\frac{tC_3+z_q y_q}{tC_1+z_q})\vec{h}\nonumber\\
&=&\vec{d}+\frac{(s+t)C_2+z_p x_p+z_q z_q}{(s+t)C_1+z_p+z_q}\vec{w}+\frac{(s+t)C_3+z_p y_p+z_q y_q}{(s+t)C_1+z_p+z_q}\vec{h}\nonumber\\
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変換(アンチエイリアス)
<IMG SRC="../cgi-cache/20150923_224310.gif">
変換
正常に処理されました
20150923_224310
http://www.mech.tohoku-gakuin.ac.jp/rde/contents/library/ps2img/eqn2gif_online.html
Wed Sep 23 23:39:47 2015