📄 3.1.2 三维图形几何变换.htm
字号:
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">是物体在三个坐标方向上的移动量，则有公式：</SPAN></FONT></P>
<P class=MsoNormal><SPAN lang=EN-US><SPAN style="mso-spacerun: yes"><FONT
face=楷体_GB2312 size=4> </FONT></SPAN><FONT
face=楷体_GB2312 size=4>x</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'">′＝</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>T<SUB>x</SUB></SPAN></FONT></P>
<P class=MsoNormal><SPAN lang=EN-US><SPAN style="mso-spacerun: yes"><FONT
face=楷体_GB2312 size=4> </FONT></SPAN><FONT
face=楷体_GB2312 size=4>y</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'">′＝</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>T<SUB>y</SUB></SPAN></FONT></P>
<P class=MsoNormal><SPAN lang=EN-US><SPAN style="mso-spacerun: yes"><FONT
face=楷体_GB2312 size=4> </FONT></SPAN><FONT
face=楷体_GB2312 size=4>z</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'">′＝</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><SPAN
lang=EN-US>T<SUB>z</SUB></SPAN></FONT></P>
<P class=MsoNormal><SPAN
style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman"><FONT
face=楷体_GB2312 size=4>矩阵运算表达为：</FONT></SPAN></P>
<P class=MsoNormal><FONT face=楷体_GB2312 size=4><SPAN
style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">［</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><SPAN style="mso-spacerun: yes"> </SPAN>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><SPAN style="mso-spacerun: yes"> </SPAN>z</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><SPAN style="mso-spacerun: yes"> </SPAN>1</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>x<SPAN style="mso-spacerun: yes"> </SPAN>y<SPAN
style="mso-spacerun: yes"> </SPAN>z<SPAN style="mso-spacerun: yes">
</SPAN>1</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><SUB><!--[if gte vml 1]><v:shapetype id=_x0000_t75 coordsize =
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<P class=MsoNormal><FONT face=楷体_GB2312 size=4><SPAN
style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">简记为：</SPAN><SPAN
lang=EN-US>T(Tx,Ty,Tz)</SPAN></FONT></P>
<P class=MsoNormal><SPAN lang=EN-US><FONT face=楷体_GB2312 size=4><![if !supportEmptyParas]><![endif]> <o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal><FONT face=楷体_GB2312 size=4><SPAN
style="mso-spacerun: yes"> </SPAN><B><SPAN
style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">二、旋转</SPAN></B></FONT></P>
<P class=MsoNormal style="TEXT-INDENT: 21pt"><FONT face=楷体_GB2312 size=4><SPAN
style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">旋转分为三种基本旋转：绕</SPAN><SPAN
lang=EN-US>z</SPAN><SPAN
style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">轴旋转，绕</SPAN><SPAN
lang=EN-US>x</SPAN><SPAN
style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">轴旋转，绕</SPAN><SPAN
lang=EN-US>y</SPAN><SPAN
style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">轴旋转。在下述旋转变换公式中，设旋转的参考点在所绕的轴上，绕轴转θ角，方向是从轴所指处往原点看的逆时针方向</SPAN><SPAN
lang=EN-US>(</SPAN><SPAN
style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">图</SPAN><SPAN
lang=EN-US>3.5(a),(b))</SPAN><SPAN
style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">。</SPAN></FONT></P>
<P class=MsoNormal><SPAN lang=EN-US><FONT face=楷体_GB2312 size=4><![if !supportEmptyParas]><![endif]> <o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US><FONT face=楷体_GB2312 size=4><![if !supportEmptyParas]><![endif]> <o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US><FONT face=楷体_GB2312 size=4><!--[if gte vml 1]><v:shape id=_x0000_i1026
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<P class=MsoNormal><SPAN
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">绕</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'">轴旋转</SPAN>
<SPAN
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">图</SPAN><SPAN
lang=EN-US>3.5(b)</SPAN></P>
<P class=MsoNormal><SPAN
lang=EN-US><![if !supportEmptyParas]><![endif]> <o:p></o:p></SPAN></P></DIV><![if !mso]></TD></TR></TBODY></TABLE><![endif]></v:textbox><w:wrap
type = "square"></w:wrap></v:shape><![endif]--><![if !vml]><img width=194 height=44 src="les312.files/image005.gif" align=left hspace=12 alt="文本框: 绕x轴旋转 图3.5(b) " v:shapes="_x0000_s1027"><![endif]></FONT></P>
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<P class=MsoNormal><SPAN
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">绕</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'">轴旋转</SPAN>
<SPAN
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">图</SPAN><SPAN
lang=EN-US>3.5(a)</SPAN></P></DIV><![if !mso]></TD></TR></TBODY></TABLE><![endif]></v:textbox><w:wrap
type = "square"></w:wrap></v:shape><![endif]--><![if !vml]><img width=194 height=34 src="les312.files/image006.gif" align=left hspace=12 alt="文本框: 绕z轴旋转 图3.5(a)" v:shapes="_x0000_s1026"><![endif]></FONT></P>
<P class=MsoNormal><SPAN lang=EN-US><FONT face=楷体_GB2312 size=4><![if !supportEmptyParas]><![endif]> <o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="TEXT-INDENT: 55.5pt"><SPAN lang=EN-US><FONT
face=楷体_GB2312 size=4><SPAN style="mso-spacerun: yes"> </SPAN><SPAN
style="mso-spacerun: yes">
</SPAN></FONT></SPAN></P>
<P class=MsoNormal><FONT face=楷体_GB2312 size=4><SPAN lang=EN-US><SPAN
style="mso-spacerun: yes"> </SPAN>1</SPAN><SPAN
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