📄 3.1.2 三维图形几何变换.htm
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<H3><FONT face=楷体_GB2312 size=4><SPAN lang=EN-US>3.1.2 </SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">三维图形几何变换</SPAN></FONT></H3>
<P class=MsoNormal><SPAN style="mso-spacerun: yes"><FONT face=楷体_GB2312
size=4> </FONT></SPAN><FONT face=楷体_GB2312 size=4><SPAN
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">三维几何变换包括平移、旋转和变比。三维几何变换可以表示为公式，或三维齐次坐标和</SPAN><SPAN
lang=EN-US>4</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">×</SPAN><SPAN
lang=EN-US>4</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">变换矩阵的乘积。下面分别以公式，矩阵乘积和简记符号来描述三维几何变换。并记变换前物体的坐标为</SPAN><SPAN
lang=EN-US>x,y,z</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">；变换后物体的坐标为</SPAN><SPAN
lang=EN-US>x</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">′，</SPAN><SPAN
lang=EN-US>y</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">′，</SPAN><SPAN
lang=EN-US>z</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">′。</SPAN></FONT></P>
<P class=MsoNormal><SPAN style="mso-spacerun: yes"><FONT face=楷体_GB2312
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style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">一、平移</SPAN></B></FONT></P>
<P class=MsoNormal><SPAN style="mso-spacerun: yes"><FONT face=楷体_GB2312
size=4> </FONT></SPAN><FONT face=楷体_GB2312 size=4><SPAN
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">设</SPAN><SPAN
lang=EN-US>Tx,Ty,Tz</SPAN><SPAN
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