?? 計算機圖形學復習題.htm
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style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">14.<SPAN
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</SPAN></SPAN><![endif]><SPAN lang=EN-US
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">n次B樣條曲線，當給定的控制頂點相鄰的頂點互不相重，則整條B樣條曲線具有<U>ˍˍˍˍˍˍˍˍˍˍ</U>階幾何連續。<o:p></o:p></SPAN></P>
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style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">15.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">由<SPAN
lang=EN-US>M個控制頂點Pi(i=0,1,…
m)所決定的n次B樣條曲線，由<U>ˍˍˍˍˍˍˍˍˍˍ</U>段n次B樣條曲線段光滑連接而成。<o:p></o:p></SPAN></SPAN></P>
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style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">16.<SPAN
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style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">投影變換中，透視投影的投影中心到投影面之間的距離是<U>ˍˍˍˍˍˍˍˍˍˍ</U>，平行投影的投影中心到投影面之間的距離是<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
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style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">斜平行的斜等測時，和投影平面垂直的任何線段，其投影長度為<U>ˍˍˍˍˍˍˍˍˍˍ</U>；斜二測時，和投影平面垂直的任何線段，其投影長度為<U>ˍˍˍˍˍˍˍˍˍˍ</U>。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal
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style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">18.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">判別點在區域內外的常用方法有<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: 宋體; mso-hansi-font-family: 'Times New Roman'">19.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">圖形的數學表示法一般有<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: 宋體; mso-hansi-font-family: 'Times New Roman'">20.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">在處理圖形時常常涉及的坐標系有<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal
style="MARGIN: 6pt 0cm 0pt; TEXT-INDENT: 18pt; LINE-HEIGHT: 150%; TEXT-ALIGN: left; mso-list: l0 level1 lfo2"
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style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">21.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">圖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>
<P class=MsoNormal
style="MARGIN: 6pt 0cm 0pt; TEXT-INDENT: 18pt; LINE-HEIGHT: 150%; TEXT-ALIGN: left; mso-list: l0 level1 lfo2"
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style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">22.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">對圖形的非幾何變換是指對圖形的<U>ˍˍˍˍˍˍˍˍˍˍ</U>、<U>ˍˍˍˍˍˍˍˍˍˍ</U>等非幾何屬性的變換。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal
style="MARGIN: 6pt 0cm 0pt; TEXT-INDENT: 18pt; LINE-HEIGHT: 150%; TEXT-ALIGN: left; mso-list: l0 level1 lfo2"
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style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">23.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">計算機圖形系統中常用的用戶接口形式有<U>ˍˍˍˍˍˍˍˍˍˍ</U>、<U>ˍˍˍˍˍˍˍˍˍˍ</U>和<U>ˍˍˍˍˍˍˍˍˍˍ</U>三種形式。<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: 宋體; mso-hansi-font-family: 'Times New Roman'">24.<SPAN
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</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">可以用基本的交互技術形成三種組合交互任務：<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>，<U>ˍˍˍˍˍˍˍˍˍˍ</U>。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal
style="MARGIN: 6pt 0cm 0pt; TEXT-INDENT: 18pt; LINE-HEIGHT: 150%; TEXT-ALIGN: left; mso-list: l0 level1 lfo2"
align=left><![if !supportLists]><SPAN lang=EN-US
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">25.<SPAN
style="FONT: 7pt 'Times New Roman'">
</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">常用的構造技術有<U>ˍˍˍˍˍˍˍˍˍˍ</U>和<U>ˍˍˍˍˍˍˍˍˍˍ</U>。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal
style="MARGIN-LEFT: 0cm; TEXT-INDENT: 17.85pt; LINE-HEIGHT: 150%; TEXT-ALIGN: left; mso-list: l0 level1 lfo2; tab-stops: list 21.0pt"
align=left><![if !supportLists]><SPAN lang=EN-US>26.<SPAN
style="FONT: 7pt 'Times New Roman'">
</SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">圓弧的</SPAN><SPAN
lang=EN-US>Bresenham</SPAN><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">點生成算法，通常把圓分成</SPAN><U><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">ˍˍˍˍˍˍ</SPAN></U><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">個部分，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: 宋體; 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: 宋體; 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: 宋體; mso-hansi-font-family: 'Times New Roman'">∣</SPAN><SPAN
lang=EN-US>f<SUB>i</SUB></SPAN><SPAN
style="FONT-FAMILY: 宋體; 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: 宋體; mso-hansi-font-family: 'Times New Roman'">∣</SPAN><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，當點（</SPAN><SPAN
lang=EN-US>X<SUB>i</SUB></SPAN><SPAN
style="FONT-FAMILY: 宋體; 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: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">）的</SPAN><SPAN
lang=EN-US
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">e</SPAN><SUB><SPAN
lang=EN-US>i</SPAN></SUB><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">≥<SPAN
lang=EN-US>0</SPAN></SPAN><SPAN lang=EN-US> </SPAN><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">則下一點為</SPAN><SPAN
lang=EN-US>D</SPAN><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，其坐標為（</SPAN><SPAN
lang=EN-US>X<SUB>i</SUB>+1</SPAN><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，</SPAN><U><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">ˍˍˍˍˍˍ</SPAN></U><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">），若</SPAN><SPAN
lang=EN-US
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">e</SPAN><SUB><SPAN
lang=EN-US>i</SPAN></SUB><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">＜<SPAN
lang=EN-US>0</SPAN></SPAN><SPAN lang=EN-US> </SPAN><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">則下一點為</SPAN><SPAN
lang=EN-US>H</SPAN><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，其坐標為</SPAN><SPAN
lang=EN-US>(X<SUB>i</SUB>+1</SPAN><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，</SPAN><U><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'">ˍˍˍˍˍˍ</SPAN></U><SPAN
lang=EN-US>)</SPAN><SPAN
style="FONT-FAMILY: 宋體; 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: 宋體; 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: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">三、原理推演題</SPAN></B><SPAN
style="FONT-FAMILY: 宋體; 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: 宋體; 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: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">請推導出用</SPAN><SPAN
lang=EN-US>Bresenham</SPAN><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">算法逆時針方向生成第一區域圓弧的計算公式</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>2.<SPAN style="FONT: 7pt 'Times New Roman'"> </SPAN></SPAN><![endif]><SPAN
style="FONT-FAMILY: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">推導出適合任何情況下的逐點比較法算法。</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: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">請推導出用逐點比較法順時針方向生成第一象限圓弧的計算公式</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: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">四、作圖題</SPAN></B><SPAN
style="FONT-FAMILY: 宋體; 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: 宋體; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">分）</SPAN></P>
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