📄 计算机图形学复习题.htm
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</SPAN></SPAN><![endif]><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">n次B样条曲线，当给定的控制顶点相邻的顶点互不相重，则整条B样条曲线具有<U>ˍˍˍˍˍˍˍˍˍˍ</U>阶几何连续。<o:p></o:p></SPAN></P>
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">15.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">由<SPAN
lang=EN-US>M个控制顶点Pi(i=0,1,…
m)所决定的n次B样条曲线，由<U>ˍˍˍˍˍˍˍˍˍˍ</U>段n次B样条曲线段光滑连接而成。<o:p></o:p></SPAN></SPAN></P>
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">投影变换中，透视投影的投影中心到投影面之间的距离是<U>ˍˍˍˍˍˍˍˍˍˍ</U>，平行投影的投影中心到投影面之间的距离是<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">17.<SPAN
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">斜平行的斜等测时，和投影平面垂直的任何线段，其投影长度为<U>ˍˍˍˍˍˍˍˍˍˍ</U>；斜二测时，和投影平面垂直的任何线段，其投影长度为<U>ˍˍˍˍˍˍˍˍˍˍ</U>。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">18.<SPAN
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">判别点在区域内外的常用方法有<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">19.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">图形的数学表示法一般有<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">20.<SPAN
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">在处理图形时常常涉及的坐标系有<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">21.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">图形的基本要素一般有<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U><SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
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align=left><![if !supportLists]><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">22.<SPAN
style="FONT: 7pt 'Times New Roman'">
</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">对图形的非几何变换是指对图形的<U>ˍˍˍˍˍˍˍˍˍˍ</U>、<U>ˍˍˍˍˍˍˍˍˍˍ</U>等非几何属性的变换。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">23.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">计算机图形系统中常用的用户接口形式有<U>ˍˍˍˍˍˍˍˍˍˍ</U>、<U>ˍˍˍˍˍˍˍˍˍˍ</U>和<U>ˍˍˍˍˍˍˍˍˍˍ</U>三种形式。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">24.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">可以用基本的交互技术形成三种组合交互任务：<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">25.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">常用的构造技术有<U>ˍˍˍˍˍˍˍˍˍˍ</U>和<U>ˍˍˍˍˍˍˍˍˍˍ</U>。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
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align=left><![if !supportLists]><SPAN lang=EN-US>26.<SPAN
style="FONT: 7pt 'Times New Roman'">
</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">圆弧的</SPAN><SPAN
lang=EN-US>Bresenham</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">点生成算法，通常把圆分成</SPAN><U><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">ˍˍˍˍˍˍ</SPAN></U><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">个部分，如果</SPAN><SPAN
lang=EN-US>f<SUB>i</SUB>=(x<SUB>i</SUB>+1)<SUP>2</SUP>+y<SUB>i</SUB><SUP>2</SUP>-R<SUP>2</SUP></SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，</SPAN><SPAN
lang=EN-US>g<SUB>i</SUB>=(x<SUB>i</SUB>+1)<SUP>2</SUP>+(y<SUB>i</SUB>-1)<SUP>
2</SUP>-R<SUP>2</SUP></SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，</SPAN><SPAN
lang=EN-US>e=</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">∣</SPAN><SPAN
lang=EN-US>f<SUB>i</SUB></SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">∣<SPAN
lang=EN-US>-∣</SPAN></SPAN><SPAN lang=EN-US>g<SUB>i</SUB></SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">∣</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，当点（</SPAN><SPAN
lang=EN-US>X<SUB>i</SUB></SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，</SPAN><SPAN
lang=EN-US>Y<SUB>i</SUB></SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">）的</SPAN><SPAN
lang=EN-US
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">e</SPAN><SUB><SPAN
lang=EN-US>i</SPAN></SUB><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">≥<SPAN
lang=EN-US>0</SPAN></SPAN><SPAN lang=EN-US> </SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">则下一点为</SPAN><SPAN
lang=EN-US>D</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，其坐标为（</SPAN><SPAN
lang=EN-US>X<SUB>i</SUB>+1</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，</SPAN><U><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">ˍˍˍˍˍˍ</SPAN></U><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">），若</SPAN><SPAN
lang=EN-US
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">e</SPAN><SUB><SPAN
lang=EN-US>i</SPAN></SUB><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">＜<SPAN
lang=EN-US>0</SPAN></SPAN><SPAN lang=EN-US> </SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">则下一点为</SPAN><SPAN
lang=EN-US>H</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，其坐标为</SPAN><SPAN
lang=EN-US>(X<SUB>i</SUB>+1</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，</SPAN><U><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'">ˍˍˍˍˍˍ</SPAN></U><SPAN
lang=EN-US>)</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">。</SPAN></P>
<P class=MsoNormal style="MARGIN-TOP: 6pt; LINE-HEIGHT: 150%; TEXT-ALIGN: left"
align=left><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'"><![if !supportEmptyParas]><![endif]> <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN-TOP: 6pt; LINE-HEIGHT: 150%"><B
style="mso-bidi-font-weight: normal"><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">三、原理推演题</SPAN></B><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">（</SPAN><SPAN
lang=EN-US>15</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">分）</SPAN></P>
<P class=MsoNormal
style="MARGIN: 6pt 0cm 0pt; TEXT-INDENT: 17pt; LINE-HEIGHT: 150%; mso-list: l1 level1 lfo3"><![if !supportLists]><SPAN
lang=EN-US>1.<SPAN style="FONT: 7pt 'Times New Roman'"> </SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">请推导出用</SPAN><SPAN
lang=EN-US>Bresenham</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">算法逆时针方向生成第一区域圆弧的计算公式</SPAN></P>
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style="MARGIN: 6pt 0cm 0pt; TEXT-INDENT: 17pt; LINE-HEIGHT: 150%; mso-list: l1 level1 lfo3"><![if !supportLists]><SPAN
lang=EN-US>2.<SPAN style="FONT: 7pt 'Times New Roman'"> </SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">推导出适合任何情况下的逐点比较法算法。</SPAN></P>
<P class=MsoNormal
style="MARGIN: 6pt 0cm 0pt; TEXT-INDENT: 17pt; LINE-HEIGHT: 150%; mso-list: l1 level1 lfo3"><![if !supportLists]><SPAN
lang=EN-US>3.<SPAN style="FONT: 7pt 'Times New Roman'"> </SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">请推导出用逐点比较法顺时针方向生成第一象限圆弧的计算公式</SPAN></P>
<P class=MsoNormal style="MARGIN-TOP: 6pt; LINE-HEIGHT: 150%"><SPAN lang=EN-US><![if !supportEmptyParas]><![endif]> <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN-TOP: 6pt; LINE-HEIGHT: 150%"><B
style="mso-bidi-font-weight: normal"><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">四、作图题</SPAN></B><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">（</SPAN><SPAN
lang=EN-US>20</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">分）</SPAN></P>
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