计算机图形学实验报告

1、计算机图形学课程设计设计名称 正四面体学号 学生 张彬目录1项目描述32任务配置33效果图34原理45算法56源代码57 总结10项目描述本项目使用计算机图形学的知识，在屏幕是绘制一个四个面涂上不同颜色的正四面体，并且正四面体绕着其中一个顶点转动。任务配置本程序使用Visual C+ 6.0，建立一个基于单文档的的项目。效果图原理本程序的原理为先确定原始的正四面体的4个顶点，然后对其进行3维变换，再对其进行透视变化，然后将3维坐标转换为2维坐标，再判断每个面是否可见对其进行动态消影。再将其画到屏幕上。程序使用了双缓冲，并且使用定时器对坐标进行改变。算法对坐标进行3维转换的坐标为先绕x转，再绕y

2、转，最后绕z转，（这3个矩阵可以参考计算机图形学基础教程110面）将3个矩阵相乘可得 ZH00=cos(b)*cos(c);ZH01=cos(b)*sin(c);ZH02=-sin(b);ZH10=cos(c)*sin(a)*sin(b)-cos(a)*sin(c);ZH11=sin(c)*sin(a)*sin(b)+cos(c)*cos(a);ZH12=sin(a)*cos(b);ZH20=cos(a)*sin(b)*cos(c)+sin(a)*sin(c);ZH21=cos(a)*sin(b)*sin(c)-cos(c)*sin(a);ZH22=cos(a)*cos(b);，对其进行透视变

3、换时乘以矩阵（这个矩阵可以参考计算机图形学基础教程123面），将,都设置为45度，矩阵如下 TZ00=-sqrt(2)/2;TZ01=-0.5;TZ02=-0.5;TZ03=0;TZ10=sqrt(2)/2;TZ11=-0.5;TZ12=-0.5;TZ13=0;TZ20=0;TZ21=sqrt(2)/2;TZ22=-sqrt(2)/2;TZ23=0;TZ30=0;TZ31=0;TZ32=700;TZ33=1;将3维坐标转换为2维坐标时，使用公式 x=x1/z1*d,y=y1/z1*d;对其进行动态消隐时，则在平面上取两个向量做差乘，获得其法向量，然后与视向量做数量级，并对其结果判断，大于0则画

4、出该面，否则不画出该面。另外在框架类里对界面做了改动，去掉了工具栏和状态栏，并且改变了应用程序图标。源代码1.View中得代码CForYuView:CForYuView() SHU=TRUE;yu0=TRUE;yu1=TRUE;yu2=TRUE;yu3=TRUE;AI=100.0;a=0.1;b=0.2;c=0.3;F3D00=4; F3D01=0; F3D02=0; F3D03=1;F3D10=AI;F3D11=0; F3D12=0; F3D13=1;F3D20=AI/2; F3D21=0; F3D22=AI/2*sqrt(3); F3D23=1;F3D00=AI/2; F3D01=AI*s

5、qrt(6)/3;F3D02=AI/6*sqrt(3);F3D03=1; ZH00=1;ZH01=0;ZH02=0;ZH03=0;ZH10=0;ZH11=1;ZH12=0;ZH13=0;ZH20=0;ZH21=0;ZH22=1;ZH23=0;ZH30=0;ZH31=0;ZH32=0;ZH33=1; TZ00=-sqrt(2)/2;TZ01=-0.5;TZ02=-0.5;TZ03=0;TZ10=sqrt(2)/2;TZ11=-0.5;TZ12=-0.5;TZ13=0;TZ20=0;TZ21=sqrt(2)/2;TZ22=-sqrt(2)/2;TZ23=0;TZ30=0;TZ31=0;TZ32=7

6、00;TZ33=1;void CForYuView:OnDraw(CDC* pDC)CForYuDoc* pDoc = GetDocument();ASSERT_VALID(pDoc);Doublebuffer();void CForYuView:Doublebuffer()GetClientRect(&rect);CDC*pDC=GetDC();pDC-SetMapMode(MM_ANISOTROPIC);pDC-SetWindowExt(rect.Width(),rect.Height();pDC-SetViewportExt(rect.Width(),-rect.Height();pDC

7、-SetViewportOrg(rect.Width()/2,rect.Height()/2);CDC dc;dc.CreateCompatibleDC(pDC); CBitmap bitmap,*oldbitmap;bitmap.CreateCompatibleBitmap(pDC,rect.Width(),rect.Height();oldbitmap=dc.SelectObject(&bitmap);CPen pen,*oldpen;pen.CreatePen(PS_SOLID,1,0x00FFFFFF);oldpen=dc.SelectObject(&pen);dc.SetMapMod

8、e(MM_ANISOTROPIC);dc.SetWindowExt(rect.Width(),rect.Height();dc.SetViewportExt(rect.Width(),-rect.Height();dc.SetViewportOrg(rect.Width()/2,rect.Height()/2);Transform();TOUSHI();TranslateFrom3DTo2D();XW();DrawObject(&dc); pDC-BitBlt(-rect.Width()/2,-rect.Height()/2,rect.Width(),rect.Height(),&dc,-re

9、ct.Width()/2,-rect.Height()/2,SRCCOPY);dc.SelectObject(oldpen);pen.DeleteObject();dc.SelectObject(oldbitmap);bitmap.DeleteObject();dc.DeleteDC();ReleaseDC(pDC);void CForYuView:OnTimer(UINT nIDEvent) a+=0.3;b+=0.2;c+=0.1;ZH00=cos(b)*cos(c);ZH01=cos(b)*sin(c);ZH02=-sin(b);ZH10=cos(c)*sin(a)*sin(b)-cos

10、(a)*sin(c);ZH11=sin(c)*sin(a)*sin(b)+cos(c)*cos(a);ZH12=sin(a)*cos(b);ZH20=cos(a)*sin(b)*cos(c)+sin(a)*sin(c);ZH21=cos(a)*sin(b)*sin(c)-cos(c)*sin(a);ZH22=cos(a)*cos(b);Invalidate(FALSE);CView:OnTimer(nIDEvent);void CForYuView:OnSize(UINT nType, int cx, int cy) CView:OnSize(nType, cx, cy);SetTimer(1

11、,100,NULL);void CForYuView:Transform()for(int i=0;i4;i+)for(int j=0;j4;j+)S3Dij=0;for(int k=0;k4;k+)S3Dij+=F3Dik*ZHkj;void CForYuView:TOUSHI()for(int i=0;i4;i+)for(int j=0;j4;j+)T3Dij=0;for(int k=0;k0)return TRUE;elsereturn FALSE;void CForYuView:TranslateFrom3DTo2D()for(int i=0;i4;i+)for(int j=0;jSe

12、lectObject(&brushg);pDC-BeginPath();pDC-MoveTo(int(F2D00),int(F2D01);pDC-LineTo(int(F2D10),int(F2D11);pDC-LineTo(int(F2D20),int(F2D21);pDC-LineTo(int(F2D00),int(F2D01);pDC-EndPath(); pDC-FillPath();brushg.DeleteObject();if(yu1)CBrush brushr;brushr.CreateSolidBrush(0xFF);pDC-SelectObject(&brushr);pDC

13、-BeginPath();pDC-MoveTo(int(F2D00),int(F2D01);pDC-LineTo(int(F2D20),int(F2D21);pDC-LineTo(int(F2D30),int(F2D31);pDC-LineTo(int(F2D00),int(F2D01);pDC-EndPath(); pDC-FillPath();brushr.DeleteObject();if(yu2)CBrush brushb;brushb.CreateSolidBrush(0x00FF0000);pDC-SelectObject(&brushb);pDC-BeginPath();pDC-

14、MoveTo(int(F2D00),int(F2D01);pDC-LineTo(int(F2D10),int(F2D11);pDC-LineTo(int(F2D30),int(F2D31);pDC-LineTo(int(F2D00),int(F2D01);pDC-EndPath(); pDC-FillPath();brushb.DeleteObject();if(yu3)CBrush brushy;brushy.CreateSolidBrush(0x0000FFFF);pDC-SelectObject(&brushy);pDC-BeginPath();pDC-MoveTo(int(F2D30)

15、,int(F2D31);pDC-LineTo(int(F2D10),int(F2D11);pDC-LineTo(int(F2D20),int(F2D21);pDC-LineTo(int(F2D30),int(F2D31);pDC-EndPath(); pDC-FillPath();brushy.DeleteObject();void CForYuView:XW()yu0=XIAOYING(S3D00,S3D01,S3D02,S3D10,S3D11,S3D12,S3D20,S3D21,S3D22,S3D00,S3D01,S3D02); yu1=XIAOYING(S3D00,S3D01,S3D02

16、,S3D20,S3D21,S3D22,S3D30,S3D31,S3D32,S3D00,S3D01,S3D02); yu2=XIAOYING(S3D00,S3D01,S3D02,S3D30,S3D31,S3D32,S3D10,S3D11,S3D12,S3D00,S3D01,S3D02); yu3=XIAOYING(S3D10,S3D11,S3D12,S3D30,S3D31,S3D32,S3D20,S3D21,S3D22,S3D10,S3D11,S3D12);void CForYuView:OnLButtonDown(UINT nFlags, CPoint point) if(SHU)KillTimer(1)