使用矩阵和四元数实现三维模型的空间定位

<link rel="File-List" href="file:///C:%5CDOCUME%7E1%5Czjua%5CLOCALS%7E1%5CTemp%5Cmsohtml1%5C01%5Cclip_filelist.xml"> <!--[if gte mso 9]><xml> <w:WordDocument> <w:View>Normal</w:View> <w:Zoom>0</w:Zoom> <w:PunctuationKerning/> <w:DrawingGridVerticalSpacing>7.8 磅</w:DrawingGridVerticalSpacing> <w:DisplayHorizontalDrawingGridEvery>0</w:DisplayHorizontalDrawingGridEvery> <w:DisplayVerticalDrawingGridEvery>2</w:DisplayVerticalDrawingGridEvery> <w:ValidateAgainstSchemas/> <w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid> <w:IgnoreMixedContent>false</w:IgnoreMixedContent> <w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText> <w:Compatibility> <w:SpaceForUL/> <w:BalanceSingleByteDoubleByteWidth/> <w:DoNotLeaveBackslashAlone/> <w:ULTrailSpace/> <w:DoNotExpandShiftReturn/> <w:AdjustLineHeightInTable/> <w:BreakWrappedTables/> <w:SnapToGridInCell/> <w:WrapTextWithPunct/> <w:UseAsianBreakRules/> <w:DontGrowAutofit/> <w:UseFELayout/> </w:Compatibility> <w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel> </w:WordDocument> </xml><![endif]--><!--[if gte mso 9]><xml> <w:LatentStyles DefLockedState="false" LatentStyleCount="156"> </w:LatentStyles> </xml><![endif]--><style> <!-- /* Font Definitions */ &#64;font-face {font-family:宋体; panose-1:2 1 6 0 3 1 1 1 1 1; mso-font-alt:SimSun; mso-font-charset:134; mso-generic-font-family:auto; mso-font-pitch:variable; mso-font-signature:3 135135232 16 0 262145 0;} &#64;font-face {font-family:Verdana; panose-1:2 11 6 4 3 5 4 4 2 4; mso-font-charset:0; mso-generic-font-family:swiss; mso-font-pitch:variable; mso-font-signature:536871559 0 0 0 415 0;} &#64;font-face {font-family:"/&#64;宋体"; panose-1:2 1 6 0 3 1 1 1 1 1; mso-font-charset:134; mso-generic-font-family:auto; mso-font-pitch:variable; mso-font-signature:3 135135232 16 0 262145 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; text-align:justify; text-justify:inter-ideograph; mso-pagination:none; font-size:10.5pt; mso-bidi-font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:宋体; mso-font-kerning:1.0pt;} /* Page Definitions */ &#64;page {mso-page-border-surround-header:no; mso-page-border-surround-footer:no;} &#64;page Section1 {size:612.0pt 792.0pt; margin:72.0pt 90.0pt 72.0pt 90.0pt; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;} div.Section1 {page:Section1;} --> </style> <!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:普通表格; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} </style> <![endif]-->

通过矩阵变换实现绕三个坐标轴的特定角度的旋转:

<!--<br><br>Code highlighting produced by Actipro CodeHighlighter (freeware)<br>http://www.CodeHighlighter.com/<br><br>--> None.gif // -----------------------------------------------------------------------------
None.gif
// Desc:设置世界矩阵
None.gif
// -----------------------------------------------------------------------------
None.gif
VOIDSetWorldMatrix()
ExpandedBlockStart.gifContractedBlock.gif
dot.gif {
InBlock.gif
staticlongcurTime=0;
InBlock.gif
staticfloatelapsetime=0;
InBlock.gifelapsetime
=(timeGetTime()-curTime)/1000.0f;
InBlock.gifcurTime
=timeGetTime();
InBlock.gif
InBlock.gif
//创建并设置世界矩阵
InBlock.gif
floatfRoll,fPitch,fYaw;
InBlock.giffRoll
=fPitch=fYaw=0.0f;
InBlock.gif
InBlock.gif
if(m_bKey['D'])fRoll-=3*elapsetime;
InBlock.gif
if(m_bKey['A'])fRoll+=3*elapsetime;
InBlock.gif
InBlock.gif
if(m_bKey['S'])fPitch-=3*elapsetime;
InBlock.gif
if(m_bKey['W'])fPitch+=3*elapsetime;
InBlock.gif
InBlock.gif
if(m_bKey['Q'])fYaw-=3*elapsetime;
InBlock.gif
if(m_bKey['E'])fYaw+=3*elapsetime;
InBlock.gif
InBlock.gif
//更新网格模型姿态
InBlock.gif
staticD3DXVECTOR3vRight,vUp,vLook,vPos;
InBlock.gif
InBlock.gifvRight.x
=g_matWorld._11;
InBlock.gifvRight.y
=g_matWorld._12;
InBlock.gifvRight.z
=g_matWorld._13;
InBlock.gifvUp.x
=g_matWorld._21;
InBlock.gifvUp.y
=g_matWorld._22;
InBlock.gifvUp.z
=g_matWorld._23;
InBlock.gifvLook.x
=g_matWorld._31;
InBlock.gifvLook.y
=g_matWorld._32;
InBlock.gifvLook.z
=g_matWorld._33;
InBlock.gifvPos.x
=g_matWorld._41;
InBlock.gifvPos.y
=g_matWorld._42;
InBlock.gifvPos.z
=g_matWorld._43;
InBlock.gif
InBlock.gifD3DXVec3Normalize(
&vLook,&vLook);
InBlock.gifD3DXVec3Cross(
&vRight,&vUp,&vLook);
InBlock.gif
InBlock.gifD3DXVec3Normalize(
&vRight,&vRight);
InBlock.gifD3DXVec3Cross(
&vUp,&vLook,&vRight);
InBlock.gif
InBlock.gifD3DXVec3Normalize(
&vUp,&vUp);
InBlock.gif
InBlock.gif
staticD3DXMATRIXmatPitch,matYaw,matRoll;
InBlock.gif
InBlock.gifD3DXMatrixRotationAxis(
&matYaw,&vUp,fYaw);
InBlock.gifD3DXVec3TransformCoord(
&vLook,&vLook,&matYaw);
InBlock.gifD3DXVec3TransformCoord(
&vRight,&vRight,&matYaw);
InBlock.gif
InBlock.gifD3DXMatrixRotationAxis(
&matRoll,&vLook,fRoll);
InBlock.gifD3DXVec3TransformCoord(
&vRight,&vRight,&matRoll);
InBlock.gifD3DXVec3TransformCoord(
&vUp,&vUp,&matRoll);
InBlock.gif
InBlock.gifD3DXMatrixRotationAxis(
&matPitch,&vRight,fPitch);
InBlock.gifD3DXVec3TransformCoord(
&vLook,&vLook,&matPitch);
InBlock.gifD3DXVec3TransformCoord(
&vUp,&vUp,&matPitch);
InBlock.gif
InBlock.gifg_matWorld._11
=vRight.x;
InBlock.gifg_matWorld._12
=vRight.y;
InBlock.gifg_matWorld._13
=vRight.z;
InBlock.gifg_matWorld._21
=vUp.x;
InBlock.gifg_matWorld._22
=vUp.y;
InBlock.gifg_matWorld._23
=vUp.z;
InBlock.gifg_matWorld._31
=vLook.x;
InBlock.gifg_matWorld._32
=vLook.y;
InBlock.gifg_matWorld._33
=vLook.z;
InBlock.gif
InBlock.gif
//向前移动
InBlock.gif
if(m_bKey['F'])
ExpandedSubBlockStart.gifContractedSubBlock.gif
dot.gif{
InBlock.gifg_matWorld._41
+=30*elapsetime*vLook.x;
InBlock.gifg_matWorld._42
+=30*elapsetime*vLook.y;
InBlock.gifg_matWorld._43
+=30*elapsetime*vLook.z;
ExpandedSubBlockEnd.gif}

InBlock.gif
InBlock.gif
//向后移动
InBlock.gif
if(m_bKey['V'])
ExpandedSubBlockStart.gifContractedSubBlock.gif
dot.gif{
InBlock.gifg_matWorld._41
-=30*elapsetime*vLook.x;
InBlock.gifg_matWorld._42
-=30*elapsetime*vLook.y;
InBlock.gifg_matWorld._43
-=30*elapsetime*vLook.z;
ExpandedSubBlockEnd.gif}

InBlock.gifg_pd3dDevice
->SetTransform(D3DTS_WORLD,&g_matWorld);
ExpandedBlockEnd.gif}

None.gif
<meta http-equiv="Content-Type" content="text/html; charset=utf-8"> <meta name="ProgId" content="Word.Document"> <meta name="Generator" content="Microsoft Word 11"> <meta name="Originator" content="Microsoft Word 11"> <link rel="File-List" href="file:///C:%5CDOCUME%7E1%5Czjua%5CLOCALS%7E1%5CTemp%5Cmsohtml1%5C01%5Cclip_filelist.xml"> <!--[if gte mso 9]><xml> <w:WordDocument> <w:View>Normal</w:View> <w:Zoom>0</w:Zoom> <w:PunctuationKerning/> <w:DrawingGridVerticalSpacing>7.8 磅</w:DrawingGridVerticalSpacing> <w:DisplayHorizontalDrawingGridEvery>0</w:DisplayHorizontalDrawingGridEvery> <w:DisplayVerticalDrawingGridEvery>2</w:DisplayVerticalDrawingGridEvery> <w:ValidateAgainstSchemas/> <w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid> <w:IgnoreMixedContent>false</w:IgnoreMixedContent> <w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText> <w:Compatibility> <w:SpaceForUL/> <w:BalanceSingleByteDoubleByteWidth/> <w:DoNotLeaveBackslashAlone/> <w:ULTrailSpace/> <w:DoNotExpandShiftReturn/> <w:AdjustLineHeightInTable/> <w:BreakWrappedTables/> <w:SnapToGridInCell/> <w:WrapTextWithPunct/> <w:UseAsianBreakRules/> <w:DontGrowAutofit/> <w:UseFELayout/> </w:Compatibility> <w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel> </w:WordDocument> </xml><![endif]--><!--[if gte mso 9]><xml> <w:LatentStyles DefLockedState="false" LatentStyleCount="156"> </w:LatentStyles> </xml><![endif]--><style> <!-- /* Font Definitions */ &#64;font-face {font-family:宋体; panose-1:2 1 6 0 3 1 1 1 1 1; mso-font-alt:SimSun; mso-font-charset:134; mso-generic-font-family:auto; mso-font-pitch:variable; mso-font-signature:3 135135232 16 0 262145 0;} &#64;font-face {font-family:Verdana; panose-1:2 11 6 4 3 5 4 4 2 4; mso-font-charset:0; mso-generic-font-family:swiss; mso-font-pitch:variable; mso-font-signature:536871559 0 0 0 415 0;} &#64;font-face {font-family:"/&#64;宋体"; panose-1:2 1 6 0 3 1 1 1 1 1; mso-font-charset:134; mso-generic-font-family:auto; mso-font-pitch:variable; mso-font-signature:3 135135232 16 0 262145 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; text-align:justify; text-justify:inter-ideograph; mso-pagination:none; font-size:10.5pt; mso-bidi-font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:宋体; mso-font-kerning:1.0pt;} /* Page Definitions */ &#64;page {mso-page-border-surround-header:no; mso-page-border-surround-footer:no;} &#64;page Section1 {size:612.0pt 792.0pt; margin:72.0pt 90.0pt 72.0pt 90.0pt; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;} div.Section1 {page:Section1;} --> </style> <!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:普通表格; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} </style> <![endif]-->

通过四元数实现绕三个坐标轴的特定角度的旋转:

<!--<br><br>Code highlighting produced by Actipro CodeHighlighter (freeware)<br>http://www.CodeHighlighter.com/<br><br>--> None.gif
None.gif
// -----------------------------------------------------------------------------
None.gif
// Desc:设置世界矩阵
None.gif
// -----------------------------------------------------------------------------
None.gif
VOIDSetWorldMatrix()
ExpandedBlockStart.gifContractedBlock.gif
dot.gif {
InBlock.gif
staticlongcurTime=0;
InBlock.gif
staticfloatelapsetime=0;
InBlock.gifelapsetime
=(timeGetTime()-curTime)/1000.0f;
InBlock.gifcurTime
=timeGetTime();
InBlock.gif
InBlock.gif
//创建并设置世界矩阵
InBlock.gif
floatfRoll,fPitch,fYaw;
InBlock.giffRoll
=fPitch=fYaw=0.0f;
InBlock.gif
InBlock.gif
if(m_bKey['D'])fRoll-=3*elapsetime;
InBlock.gif
if(m_bKey['A'])fRoll+=3*elapsetime;
InBlock.gif
if(m_bKey['S'])fPitch-=3*elapsetime;
InBlock.gif
if(m_bKey['W'])fPitch+=3*elapsetime;
InBlock.gif
if(m_bKey['Q'])fYaw-=3*elapsetime;
InBlock.gif
if(m_bKey['E'])fYaw+=3*elapsetime;
InBlock.gif
InBlock.gif
//更新网格模型姿态
InBlock.gif
D3DXQUATERNIONqR;
InBlock.gifD3DXMATRIXmatRot;
InBlock.gifD3DXQuaternionRotationYawPitchRoll(
&qR,fYaw,fPitch,fRoll);
InBlock.gifD3DXMatrixRotationQuaternion(
&matRot,&qR);
InBlock.gifD3DXMatrixMultiply(
&g_matWorld,&matRot,&g_matWorld);
InBlock.gif
InBlock.gif
//获取网格模型前向量
InBlock.gif
staticD3DXVECTOR3vLook;
InBlock.gifvLook.x
=g_matWorld._31;
InBlock.gifvLook.y
=g_matWorld._32;
InBlock.gifvLook.z
=g_matWorld._33;
InBlock.gif
InBlock.gif
//向前移动
InBlock.gif
if(m_bKey['F'])
ExpandedSubBlockStart.gifContractedSubBlock.gif
dot.gif{
InBlock.gifg_matWorld._41
+=10*elapsetime*vLook.x;
InBlock.gifg_matWorld._42
+=10*elapsetime*vLook.y;
InBlock.gifg_matWorld._43
+=10*elapsetime*vLook.z;
ExpandedSubBlockEnd.gif}

InBlock.gif
InBlock.gif
//向后移动
InBlock.gif
if(m_bKey['V'])
ExpandedSubBlockStart.gifContractedSubBlock.gif
dot.gif{
InBlock.gifg_matWorld._41
-=10*elapsetime*vLook.x;
InBlock.gifg_matWorld._42
-=10*elapsetime*vLook.y;
InBlock.gifg_matWorld._43
-=10*elapsetime*vLook.z;
ExpandedSubBlockEnd.gif}

InBlock.gif
InBlock.gifg_pd3dDevice
->SetTransform(D3DTS_WORLD,&g_matWorld);
ExpandedBlockEnd.gif}

None.gif
None.gif

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