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<meta http-equiv="Content-Type" content="text/html; charset=gb2312">
<meta name="GENERATOR" content="Microsoft FrontPage 4.0">
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<title>自由曲线和曲面的表示方法</title>
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<body background="../master03_background.JPG" bgproperties="fixed">

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<table border="0" width="507" height="1">
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      <font color="#FFFF00" size="5"><span style="mso-fareast-font-family: 宋体; mso-hansi-font-family: Times New Roman; layout-flow: vertical"><b>八 
      <a name="#自由曲线和曲面的表示方法">自由曲线和曲面的表示方法</a></b></span></font>
      <ul>
        <li>
          <p align="left"><span style="mso-fareast-font-family: 宋体; mso-hansi-font-family: Times New Roman; layout-flow: vertical"><b><font size="4">Bezier</font></b></span></li>
        <li>
          <p align="left"><span style="mso-fareast-font-family: 宋体; mso-hansi-font-family: Times New Roman; layout-flow: vertical"><b><font size="4">B_Spline</font></b></span></li>
        <li>
          <p align="left"><font size="4" color="#FFFF00"><b>Hermite,Coons</b></font></li>
      </ul>
    </div>
    </td>
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    <td width="214" align="center" valign="middle" height="1">
    <p align="center">
    <img border="0" src="slide0002_image002.gif" width="172" height="160">
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  </tr>
  </center>
<tr>
    <td width="503" align="center" colspan="2" height="51">
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    <p align="left"><b><font color="#FFFF00" size="4"><a name="#Hermite三次多项式">4  
    Hermite三次多项式</a></font></b></p> 
    <p align="left"><font size="4" color="#000000"><b>向量表示的三次参数曲线：</b></font></p> 
    <p align="center"><span lang="EN-US" style="font-size:10.5pt;mso-bidi-font-size:
12.0pt;font-family:&quot;Times New Roman&quot;;mso-fareast-font-family:宋体;mso-font-kerning:
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AR-SA"><span style="mso-text-raise:-14.0pt"><!--[if gte vml 1]><v:shapetype
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  o:title=""/>
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    </span></p> 
    <p align="left"><b><span style="mso-bidi-font-size: 12.0pt; font-family: Times New Roman; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA" lang="EN-US"><font size="4">确定四个向量系数，则曲线就确定了。设：</font></span></b></p> 
    <p align="center"><span lang="EN-US" style="font-size:10.5pt;mso-bidi-font-size:
12.0pt;font-family:&quot;Times New Roman&quot;;mso-fareast-font-family:宋体;mso-font-kerning:
1.0pt;mso-ansi-language:EN-US;mso-fareast-language:ZH-CN;mso-bidi-language:
AR-SA"><span style="mso-text-raise:-33.0pt"><!--[if gte vml 1]><v:shapetype
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  <v:f eqn="sum @0 0 1"/>
  <v:f eqn="prod @6 1 2"/>
  <v:f eqn="prod @7 21600 pixelWidth"/>
  <v:f eqn="sum @8 21600 0"/>
  <v:f eqn="prod @7 21600 pixelHeight"/>
  <v:f eqn="sum @10 21600 0"/>
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    <img src="C080302.gif" v:shapes="_x0000_i1025" width="163" height="96"></span><!--[if gte mso 9]><xml>
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    <p align="left"><span style="mso-bidi-font-size: 12.0pt; font-family: Times New Roman; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA" lang="EN-US"><font size="4"><b>求解四元方程，得：</b></font></span></p> 
    <p align="center"><span lang="EN-US" style="font-size:10.5pt;mso-bidi-font-size:
12.0pt;font-family:&quot;Times New Roman&quot;;mso-fareast-font-family:宋体;mso-font-kerning:
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AR-SA"><span style="mso-text-raise:-33.0pt"><!--[if gte vml 1]><v:shapetype
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    </span></p> 
    <p align="center"><img border="0" src="C080303.gif" width="199" height="86"></p> 
    <p align="left"><b><font color="#FFFF00" size="4"><a name="#Coons曲面">Coons曲面</a></font></b></p>
    <p align="left"><b><font color="#FFFF00" size="4">&nbsp;&nbsp;&nbsp; </font></b><b><font size="4" color="#000000">由曲面片的四个边界曲线（四个角点位置，8个方向的切向量）和四个角点位置的扭曲向量（表示边界曲线的跨界切向量）</font></b></p>
    <p align="center"><img border="0" src="coons曲面.GIF" width="216" height="189"></p>
  </div>
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