MFC下用矩阵实现图形学之立方体平移、比例、旋转、投影变换算法

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//*********************************
//绘制坐标系以及初始立方体
//*********************************
void CTransGraphicsView::OnDraw(CDC* pDC)
{
 CTransGraphicsDoc* pDoc = GetDocument();
 ASSERT_VALID(pDoc);
 HBRUSH hbrush;
 CPen pen;
 HPEN hPen;
 // TODO: add draw code for native data here
 pen.CreatePen(PS_SOLID,3,RGB(255,0,0));
 hPen=(HPEN)pDC->SelectObject(pen);
 pDC->SetViewportOrg(cxClient/2,cyClient/2);
 pDC->MoveTo(-cxClient/2,0);
 pDC->LineTo(cxClient/2,0);
 pDC->MoveTo(0,-cyClient/2);
 pDC->LineTo(0,cyClient/2);
 pen.DeleteObject();
    pDC->SelectObject(hPen);
 this->ShadowTrans(-45);
 for(int i=0;i<4;i++)
 {
   pDC->MoveTo(cpoints[i]);
   pDC->LineTo(cpoints[i+4]);
 }
 hbrush = (HBRUSH)pDC->SelectObject(GetStockObject(NULL_BRUSH)) ;
 pDC->Polygon(cpoints,4);
 pDC->Polygon(cpoints+4,4);
 
}
//********************
//矩阵的乘法
//*********************
void CTransGraphicsView::MutiTransMarix(double a[1][4],double b[4][4],double MutiResult[1][4])
{
 for(int i=0;i<4;i++) MutiResult[0][i] = 0;
 for(i=0; i<1;i++)
  for(int j=0;j<4;j++)
   for(int k=0;k<4;k++)
    MutiResult[i][j] += a[i][k]*b[k][j];
}
//******************************
//将坐标转化为矩阵形式(向量)
//******************************
void CTransGraphicsView::TransPointToMarix(ThPoint &tp,double a[1][4])
{
 a[0][0] = tp.x;
 a[0][1] = tp.y;
 a[0][2] = tp.z;
 a[0][3] = 1;
}
//******************************
//将矩阵(向量)转化为三维坐标形式
//******************************
void CTransGraphicsView::TransMarixToPoint(double a[1][4],ThPoint &tp)
{
 tp.x = a[0][0];
 tp.y = a[0][1];
 tp.z = a[0][2];
}
//******************************
//立方体的平移算法
//******************************
void CTransGraphicsView::MoveTrans(double x,double y,double z)
{
    double a[8][4],result[1][4];
 double moveMarix[4][4] =
 {
  {1,0,0,0},{0,1,0,0},
  {0,0,1,0},{x,y,z,1}
 };
 
     for(int i=0;i<8;i++)
 {
          TransPointToMarix(points[i],a+i);
   MutiTransMarix(a+i,moveMarix,result);
   TransMarixToPoint(result,points[i]);
 }
 ShadowTrans(-45);
}
//****************************************************
//立方体的斜交投影算法(将三维坐标转化为二维在屏幕显示)
//****************************************************
void CTransGraphicsView::ShadowTrans(int degree)
{
 double a[8][4],result[1][4];
 ThPoint pts[8];
 for(int i=0;i<8;i++)
 {
  pts[i].x = points[i].x;
  pts[i].y = points[i].y;
  pts[i].z = points[i].z;
 }
 double shadowMarix[4][4] =
 {
  {1,0,0,0},{0,1,0,0},
  {cos(degree),sin(degree),0,0},{0,0,0,1}
 };
 
    for(i=0;i<8;i++)
 {
          TransPointToMarix(pts[i],a+i);
   MutiTransMarix(a+i,shadowMarix,result);
   TransMarixToPoint(result,pts[i]);
 }
 for(i=0;i<8;i++)
 {
  cpoints[i].x = (int)pts[i].x;
  cpoints[i].y = (int)pts[i].y;
 }
}
//***************************************
//立方体旋转算法，旋转中心可以是x,y或z轴
//degree旋转的度数， rc旋转中心
//****************************************
void CTransGraphicsView::RotateTrans(double degree,CString rc)
{ 
    double a[8][4],result[1][4];
    int i = 0;
   
 if(rc == "z")
 {
  double xRotateMarix[4][4] =
   {
    {cos(degree*3.14/180),sin(degree*3.14/180),0,0},
    {-sin(degree*3.14/180),cos(degree*3.14/180),0,0},
    {0,0,1,0},{0,0,0,1},
   };
         for(i=0;i<8;i++)
   {
           TransPointToMarix(points[i],a+i);
        MutiTransMarix(a+i,xRotateMarix,result);
     TransMarixToPoint(result,points[i]);
   }
 }
 else if(rc == "x")
  {
  double yRotateMarix[4][4]=
   {
    {1,0,0,0},
    {0,cos(degree*3.14/180),sin(degree*3.14/180),0},
    {0,-sin(degree*3.14/180),cos(degree*3.14/180),0},
    {0,0,0,1}
   };
               for(i=0;i<8;i++)
   {
                   TransPointToMarix(points[i],a+i);
            MutiTransMarix(a+i,yRotateMarix,result);
     TransMarixToPoint(result,points[i]);
   }
     
  }
  else if(rc == "y")
  {
  double zRotateMarix[4][4]=
   {
    {cos(degree*3.14/180),0,-sin(degree*3.14/180),0},
    {0,1,0,0},
    {sin(degree*3.14/180),0,cos(degree*3.14/180),0},
    {0,0,0,1}
  };
         for(i=0;i<8;i++)
   {
           TransPointToMarix(points[i],a+i);
        MutiTransMarix(a+i,zRotateMarix,result);
     TransMarixToPoint(result,points[i]);
   }
     
  }
    ShadowTrans(-45);
}
//*********************************
//立方体的比例变换算法
//*********************************
void CTransGraphicsView::BigerOrSmallerTrans(double timeX,double timeY,double timeZ)
{
    double a[8][4],result[1][4];
 double bsMarix[4][4] =
 {
  {timeX,0,0,0},{0,timeY,0,0},
  {0,0,timeZ,0},{0,0,0,1}
 };
       for(int i=0;i<8;i++)
 {
          TransPointToMarix(points[i],a+i);
   MutiTransMarix(a+i,bsMarix,result);
   TransMarixToPoint(result,points[i]);
 }
 ShadowTrans(-45);
}
#endif //_DEBUG

/
// CTransGraphicsView message handlers
//********************************
//获取屏幕的大小
//********************************
void CTransGraphicsView::OnSize(UINT nType, int cx, int cy)
{
 CView::OnSize(nType, cx, cy);
 
 // TODO: Add your message handler code here
 cxClient = cx;
 cyClient = cy;
}
//*****************************************
//根据对话框输入的参数进行比例变换
//*****************************************
void CTransGraphicsView::OnBgsm()
{
 // TODO: Add your command handler code here
 BGSMDialog B_dlg;
 if(IDOK == B_dlg.DoModal())
 {
         BiggerOrSmallerTrans(B_dlg.m_sx,B_dlg.m_sy,B_dlg.m_sz);
 }
 Invalidate();
 UpdateWindow();
}
//********************************
//根据对话框输入的参数进行平移变换
//********************************
void CTransGraphicsView::OnMove()
{
 // TODO: Add your command handler code here
 CMoveDialog M_dlg;
 if(IDOK == M_dlg.DoModal())
 {
        MoveTrans(M_dlg.m_dx,M_dlg.m_dy,M_dlg.m_dz);
 }
 Invalidate();
 UpdateWindow();
}
//********************************
//根据对话框输入的参数进行旋转变换
//********************************
void CTransGraphicsView::OnRotate()
{
 // TODO: Add your command handler code here
 RoateDialog BT_dlg;
 if(IDOK == BT_dlg.DoModal())
 {
      RotateTrans(BT_dlg.m_degree,BT_dlg.m_rc);
 }
 Invalidate();
 UpdateWindow();
}
//**************************************************
//         根据键盘调用相应的算法
//其中down向下平移一个单位，up向上平移一个单位，
//left向左平移一个单位，right向右平移一个单位
//***************************************************
void CTransGraphicsView::OnKeyDown(UINT nChar, UINT nRepCnt, UINT nFlags)
{
 // TODO: Add your message handler code here and/or call default
 switch(nChar)
 {
  case VK_DOWN:
        MoveTrans(0,1,0);
  break;
  case VK_UP:
   MoveTrans(0,-1,0);
   break;
  case VK_LEFT:
         MoveTrans(-1,0,0);
   break;
  case VK_RIGHT:
   MoveTrans(1,0,0);
   break;
 }
 Invalidate();
 UpdateWindow();
 CView::OnKeyDown(nChar, nRepCnt, nFlags);
}
//******************************************************
//           根据键盘字符键调用相应的算法
//其中x以x轴为旋转中心旋转一度，y以y轴为旋转中心旋转一度，
//z以z轴为旋转中心旋转一度，b变大,s缩小
//*******************************************************
void CTransGraphicsView::OnChar(UINT nChar, UINT nRepCnt, UINT nFlags)
{
 // TODO: Add your message handler code here and/or call default
 switch(nChar)
 {
 case 'x':
        RotateTrans(1,"x");
  break;
 case 'y':
        RotateTrans(1,"y");
  break;
 case 'z':
  RotateTrans(1,"z");
  break;
 case 'b':
        BiggerOrSmallerTrans(1.1,1.1,1.1);
  break;
 case 's':
  BiggerOrSmallerTrans(0.9,0.9,0.9);
  break;
 }
 Invalidate();
 UpdateWindow();
 CView::OnChar(nChar, nRepCnt, nFlags);
}

 

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