计算机图形学——投影变换

计算机图形学计算机图形学投影变换 姓名： 学号： 班级：一大班二小班13 一、实现目标 将屏幕垂直划分为两部分，左半部分绘制三维坐标系和长方体， 右半部分绘制二维坐标系及三视图。首先设置成长方体，在绘制绘制三视图二、算法设计1. 在屏幕左半部分绘制三维坐标系。 2. 在屏幕右半部分绘制二维坐标系。3. 读入长方体的三维顶点齐次坐标及其面坐标，并将三维顶点齐次坐标变换为相应的屏幕二维齐次坐标，并在屏幕左半部分绘制长方体。4. 分别给主视图、俯视图和侧视图变换矩阵的非零元素赋值。5. 将原始图形的顶点集合齐次坐标矩阵和三视图变换矩阵相乘，结果赋予变换后的三视图顶点集合齐次坐标矩阵。其中，主视图变换矩阵为：俯视图变换矩阵为：主视图变换矩阵为：6. 根据变换后的顶点集合齐次坐标矩阵的元素绘制三视图。三、源代码及注释Group7View.h文件lass CMygroup7View : public CViewprotected: / create from serialization onlyCMygroupView();DECLARE_DYNCREATE(CMygroupView)/ Attributespublic:CMygroup7Doc* GetDocument();/ Operationspublic:int ViewKind;/ Overrides/ ClassWizard generated virtual function overrides/AFX_VIRTUAL(CMygroup7View)public:virtual void OnDraw(CDC* pDC); / overridden to draw this viewvirtual BOOL PreCreateWindow(CREATESTRUCT& cs);protected:virtual BOOL OnPreparePrinting(CPrintInfo* pInfo);virtual void OnBeginPrinting(CDC* pDC, CPrintInfo* pInfo);virtual void OnEndPrinting(CDC* pDC, CPrintInfo* pInfo);/AFX_VIRTUAL/ Implementationpublic:void ClearMatrix(double A44);/清除矩阵函数void Calculate(double P4,double T4);/两个矩阵相乘函数double Pt3D84;double Pt2D82;int MaxY;int MaxX;int Ft65;void Transform3DTo2D(const double P3D4,double P2D2,const int n);/三维变二维函数void ReadPoint();/读入顶点坐标函数void ReadFace();/读入面坐标函数void KeepOriginalMatrix(double Orig4,double Dest4);void GetMaxY();/获得屏幕的最大y值函数void GetMaxX();/获得屏幕的最大x值函数void DrawTriView(double Tri84);/绘制三视图调用函数void DrawLine(CPoint p,int num);/绘制多边形边线函数void DrawCube();/绘制立方体函数virtual CMygroup7View();#ifdef _DEBUGvirtual void AssertValid() const;virtual void Dump(CDumpContext& dc) const;#endifprotected:/ Generated message map functionsprotected:/AFX_MSG(CMygroup7View)afx_msg void OnDrawHView();afx_msg void OnDrawWView();afx_msg void OnDrawVView();afx_msg void OnDrawresource();/AFX_MSGDECLARE_MESSAGE_MAP();#ifndef _DEBUG / debug version in group7View.cppinline CMygroup7Doc* CMygroup7View:GetDocument() return (CMygroup7Doc*)m_pDocument; #endif/AFX_INSERT_LOCATION/ Microsoft Visual C+ will insert additional declarations immediately before the previous line.#endif / !defined(AFX_group7VIEW_H_15A74253_C6B0_462A_83DC_3F71E576EE24_INCLUDED_)group7View.cpp文件/ group7View.cpp : implementation of the CMygroup7View class/#include stdafx.h#include group7.h#include group7Doc.h#include group7View.h#define ROUND(a) int(a+0.5)/四舍五入#define PI 3.1415926/圆周率#include math.h/数学头文件#ifdef _DEBUG#define new DEBUG_NEW#undef THIS_FILEstatic char THIS_FILE = _FILE_;#endif/ CMygroup7ViewIMPLEMENT_DYNCREATE(CMygroup7View, CView)BEGIN_MESSAGE_MAP(CMygroup7View, CView)/AFX_MSG_MAP(CMygroup7View)ON_COMMAND(ID_DRAW_H_VIEW, OnDrawHView)ON_COMMAND(ID_DRAW_W_VIEW, OnDrawWView)ON_COMMAND(ID_DRAW_V_VIEW, OnDrawVView)ON_COMMAND(ID_DRAWRESOURCE, OnDrawresource)/AFX_MSG_MAP/ Standard printing commandsON_COMMAND(ID_FILE_PRINT, CView:OnFilePrint)ON_COMMAND(ID_FILE_PRINT_DIRECT, CView:OnFilePrint)ON_COMMAND(ID_FILE_PRINT_PREVIEW, CView:OnFilePrintPreview)END_MESSAGE_MAP()/ CMygroup7View construction/destructionCMygroup7View:CMygroup7View()/ TODO: add construction code hereCMygroup7View:CMygroup7View()BOOL CMygroup7View:PreCreateWindow(CREATESTRUCT& cs)/ TODO: Modify the Window class or styles here by modifying/ the CREATESTRUCT csreturn CView:PreCreateWindow(cs);/ CMygroup7View drawingvoid CMygroup7View:OnDraw(CDC* pDC)/CMygroup7Doc* pDoc = GetDocument();/ASSERT_VALID(pDoc);GetMaxX();GetMaxY();CPen MyPen3d,MyPen2d,MyPen,*OldPen;MyPen3d.CreatePen(PS_SOLID,1,RGB(0,0,255);OldPen=pDC-SelectObject(&MyPen3d);pDC-MoveTo(MaxX/4,MaxY/2);/绘制y轴pDC-LineTo(MaxX/2-25,MaxY/2);pDC-TextOut(MaxX/2-50,MaxY/2-20,y);pDC-MoveTo(MaxX/4,MaxY/2);/绘制z轴pDC-LineTo(MaxX/4,0);pDC-TextOut(MaxX/4-20,10,z);pDC-MoveTo(MaxX/4,MaxY/2);/绘制x轴pDC-LineTo(MaxX/4-MaxY/2,MaxY);/夹角为135pDC-TextOut(MaxX/4-MaxY/2+70,MaxY-30,x);pDC-TextOut(MaxX/4-20,MaxY/2-10,0);pDC-TextOut(20,20,长方体);pDC-SelectObject(OldPen);MyPen3d.DeleteObject();MyPen.CreatePen(PS_SOLID,3,RGB(0,255,0);OldPen=pDC-SelectObject(&MyPen);pDC-MoveTo(MaxX/2-25,0);/绘制分割线pDC-LineTo(MaxX/2-25,MaxY);pDC-SelectObject(OldPen);MyPen.DeleteObject();if(ViewKind=1)MyPen2d.CreatePen(PS_SOLID,1,RGB(0,0,255);OldPen=pDC-SelectObject(&MyPen2d);pDC-MoveTo(MaxX/2-25,MaxY/2);/绘制x轴pDC-LineTo(3*MaxX/4,MaxY/2);pDC-TextOut(MaxX/2-15,MaxY/2-20,x);pDC-MoveTo(3*MaxX/4,MaxY/2);/绘制z轴pDC-LineTo(3*MaxX/4,0);pDC-TextOut(3*MaxX/4-20,10,z);pDC-MoveTo(3*MaxX/4,MaxY/2);/绘制右y轴pDC-LineTo(MaxX,MaxY/2);pDC-TextOut(MaxX-20,MaxY/2-20,y);pDC-MoveTo(3*MaxX/4,MaxY/2);/绘制下y轴pDC-LineTo(3*MaxX/4,MaxY);pDC-TextOut(3*MaxX/4-20,MaxY-20,y);pDC-TextOut(MaxX/2+10,20,三视图);pDC-SelectObject(OldPen);MyPen2d.DeleteObject();elseMyPen2d.CreatePen(PS_SOLID,1,RGB(0,0,255);OldPen=pDC-SelectObject(&MyPen2d);pDC-MoveTo(3*MaxX/4,MaxY/2);/绘制z轴pDC-LineTo(3*MaxX/4,0);pDC-TextOut(3*MaxX/4-20,10,z);pDC-MoveTo(3*MaxX/4,MaxY/2);/绘制右y轴pDC-LineTo(MaxX,MaxY/2);pDC-TextOut(MaxX-20,MaxY/2-20,y);pDC-TextOut(MaxX/2+10,20,投影图);pDC-SelectObject(OldPen);MyPen2d.DeleteObject();CMygroup7Doc* pDoc = GetDocument();ASSERT_VALID(pDoc);/ TODO: add draw code for native data here/ CMygroup7View printingBOOL CMygroup7View:OnPreparePrinting(CPrintInfo* pInfo)/ default preparationreturn DoPreparePrinting(pInfo);void CMygroup7View:OnBeginPrinting(CDC* /*pDC*/, CPrintInfo* /*pInfo*/)/ TODO: add extra initialization before printingvoid CMygroup7View:OnEndPrinting(CDC* /*pDC*/, CPrintInfo* /*pInfo*/)/ TODO: add cleanup after printing/ CMygroup7View diagnostics#ifdef _DEBUGvoid CMygroup7View:AssertValid() constCView:AssertValid();void CMygroup7View:Dump(CDumpContext& dc) constCView:Dump(dc);CMygroup7Doc* CMygroup7View:GetDocument() / non-debug version is inlineASSERT(m_pDocument-IsKindOf(RUNTIME_CLASS(CMygroup7Doc);return (CMygroup7Doc*)m_pDocument;#endif /_DEBUG/ CMygroup7View message handlersvoid CMygroup7View:OnDrawHView() /绘制H面if(ViewKind!=1)ViewKind=1;RedrawWindow();ReadPoint();ReadFace();DrawCube();double TH44;/俯视图变换矩阵double Ptemp84;ClearMatrix(TH);TH00=1;TH12=-1;TH32=-50;TH33=1;KeepOriginalMatrix(Pt3D,Ptemp); Calculate(Ptemp,TH);DrawTriView(Ptemp);/ TODO: Add your command handler code herevoid CMygroup7View:OnDrawWView() /绘制W面if(ViewKind!=1)ViewKind=1;RedrawWindow();ReadPoint();ReadFace();DrawCube();double TW44;/俯视图变换矩阵double Ptemp84;ClearMatrix(TW);TW10=-1;TW22=1;TW30=-50;TW33=1;KeepOriginalMatrix(Pt3D,Ptemp);Calculate(Ptemp,TW);DrawTriView(Ptemp);/ TODO: Add your command handler code here/绘制立方体函数void CMygroup7View:DrawCube()CPoint p5;/定义多边形顶点数组Transform3DTo2D(Pt3D,Pt2D,8);int TotalEdge,PointNumber;for(int face=0;face6;face+)TotalEdge=Ftface0;/每个面的总边数for(int edge=1;edge=TotalEdge;edge+)/边循环PointNumber=Ftfaceedge;/面的顶点号pedge=CPoint(ROUND(MaxX/4+Pt2DPointNumber0),ROUND(MaxY/2+Pt2DPointNumber1);DrawLine(p,TotalEdge);/绘制多边形 /绘制多边形边线函数void CMygroup7View:DrawLine(CPoint p, int num)CClientDC dc(this);for(int i=1;i=num;i+)if(i=1)dc.MoveTo(p1);elsedc.LineTo(pi);dc.LineTo(p1);/绘制三视图调用函数void CMygroup7View:DrawTriView(double Tri4)CPoint p5;int TotalEdge,PointNumber;for(int face=0;face6;face+)TotalEdge=Ftface0;/每个面的总边数for(int edge=1;edge=TotalEdge;edge+)/边循环PointNumber=Ftfaceedge;/面的顶点号pedge=CPoint(ROUND(3*MaxX/4-TriPointNumber0),ROUND(MaxY/2-TriPointNumber2);DrawLine(p,TotalEdge);/获得屏幕的最大x值函数void CMygroup7View:GetMaxX()CRect Rect;GetClientRect(&Rect);MaxX=Rect.right;/获得屏幕的最大y值函数void CMygroup7View:GetMaxY()CRect Rect;GetClientRect(&Rect);MaxY=Rect.bottom;void CMygroup7View:KeepOriginalMatrix(double Orig4, double Dest4)int i,j;for(i=0;i8;i+)for(j=0;j4;j+)Destij=Origij;/读入面坐标函数void CMygroup7View:ReadFace()Ft00=4;Ft01=0;Ft02=1;Ft03=2;Ft04=3;Ft10=4;Ft11=3;Ft12=0;Ft13=4;Ft14=7;Ft20=4;Ft21=7;Ft22=4;Ft23=5;Ft24=6;Ft30=4;Ft31=6;Ft32=2;Ft33=1;Ft34=5;Ft40=4;Ft41=5;Ft42=1;Ft43=0;Ft44=4;Ft50=4;Ft51=6;Ft52=2;Ft53=3;Ft54=7;/读入顶点坐标函数void CMygroup7View:ReadPoint()Pt3D00=0;Pt3D01=0;Pt3D02=0;Pt3D03=1;Pt3D10=100;Pt3D11=0;Pt3D12=0;Pt3D13=1;Pt3D20=100;Pt3D21=200;Pt3D22=0;Pt3D23=1;Pt3D30=0;Pt3D31=200;Pt3D32=0;Pt3D33=1;Pt3D40=0;Pt3D41=0;Pt3D42=300;Pt3D43=1;Pt3D50=100;Pt3D51=0;Pt3D52=300;Pt3D53=1;Pt3D60=100;Pt3D61=200;Pt3D62=300;Pt3D63=1;Pt3D70=0;Pt3D71=200;Pt3D72=300;Pt3D73=1;/三维变二维函数void CMygroup7View:Transform3DTo2D(const double P3D4, double P2D2, const int n)