[分享]关于画图底层算法
平时, 用惯了API、CDC和封装好的内部函数,关于画线,画圆这些东西都是信手拈来...最近学习计算机图形学,不得不深入内部研究一下底层算法...
在这里贴几个代码分享一下!
(这里只给出MFC的OnDraw函数)
一、画线的三个算法:
1。DDA(数值微分)法:
程序代码:
void CDDALineView::OnDraw(CDC* pDC) { CDDALineDoc* pDoc = GetDocument(); ASSERT_VALID(pDoc); // TODO: add draw code for native data here int x,x0(200),y0(200),x1(500),y1(500); float dx,dy,y,k; dx=x1-x0; dy=y1-y0; k=dy/dx; y=y0; for(x=x0;x<=x1;x++) { pDC->SetPixel(x,(int)(y+0.5),RGB(255,0,0)); y+=k; } }
2.中点画线算法
程序代码:
void CMidpointLineView::OnDraw(CDC* pDC) { CMidpointLineDoc* pDoc = GetDocument(); ASSERT_VALID(pDoc); // TODO: add draw code for native data here int a,b,d1,d2,d,x,y; int x0(200),x1(500),y0(200),y1(500); a=y0-y1; b=x1-x0; d=2*a+b; d1=2*a; d2=2*(a+b); x=x0; y=y0; pDC->SetPixel(x,y,RGB(0,255,0)); while(x<x1) { if(d<0) { x++; y++; d+=d2; } else { x++; d+=d1; } pDC->SetPixel(x,y,RGB(0,255,0)); } }
3。Bresenham算法:
程序代码:
void CBresenhamline2View::OnDraw(CDC* pDC) { CBresenhamline2Doc* pDoc = GetDocument(); ASSERT_VALID(pDoc); // TODO: add draw code for native data here int x0(200),y0(200),x1(500),y1(500); int x,y,dx,dy; dx=x1-x0; dy=y1-y0; int e=-dx; x=x0; y=y0; for(int i=0;i<=dx;i++) { pDC->SetPixel(x,y,RGB(0,0,255)); x=x+1; e=e+2*dy; if(e>=0) { y++; e=e-2*dx; } } }
二、中点画圆算法:
程序代码:
void CMidPointCircleView::OnDraw(CDC* pDC) { CMidPointCircleDoc* pDoc = GetDocument(); ASSERT_VALID(pDoc); // TODO: add draw code for native data here int r=100; //半径 int m(300),n(250); //圆心坐标 int x,y; float d; x=0; y=0+r; d=1.25-r; //中点画圆算法 pDC->SetPixel(m+x,n+y,RGB(255,0,0)); pDC->SetPixel(m+y,n+x,RGB(255,0,0)); pDC->SetPixel(m-x,n+y,RGB(255,0,0)); pDC->SetPixel(m+y,n-x,RGB(255,0,0)); pDC->SetPixel(m+x,n-y,RGB(255,0,0)); pDC->SetPixel(m-y,n+x,RGB(255,0,0)); pDC->SetPixel(m-x,n-y,RGB(255,0,0)); pDC->SetPixel(m-y,n-x,RGB(255,0,0)); while(x<=y) { if(d<0) d+=2*x+3; else { d+=2*(x-y)+5; y--; } x++; pDC->SetPixel(m+x,n+y,RGB(255,0,0)); pDC->SetPixel(m+y,n+x,RGB(255,0,0)); pDC->SetPixel(m-x,n+y,RGB(255,0,0)); pDC->SetPixel(m+y,n-x,RGB(255,0,0)); pDC->SetPixel(m+x,n-y,RGB(255,0,0)); pDC->SetPixel(m-y,n+x,RGB(255,0,0)); pDC->SetPixel(m-x,n-y,RGB(255,0,0)); pDC->SetPixel(m-y,n-x,RGB(255,0,0)); } }