计算机图形学作业 Hermite曲线

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2Hermite曲线

double H0(double t)

{

TRACE(_T("H0=%.4f\n"),2*t*t*t-3*t*t+1);

return 2*t*t*t-3*t*t+1;

}

double H1(double t)

{

TRACE(_T("H1=%.4f\n"),-2*t*t*t+3*t*t);

return -2*t*t*t+3*t*t;

}

double H2(double t)

{

TRACE(_T("H2=%.4f\n"),t*t*t-2*t*t+t);

return t*t*t-2*t*t+t;

}

double H3(double t)

{

TRACE(_T("H3=%.4f\n"),t*t*t-t*t);

return t*t*t-t*t;

}

void drawHermite(CPoint p1,CPoint p2,CPoint r1,CPoint r2,CDC *pDC) {

double xt,yt;

//double xo,yo;

double t;

t=0.0;

TRACE(_T("t=%.4f\n"),t);

xt=p1.x*H0(t)+p2.x*H1(t)+r1.x*H2(t)+r2.x*H3(t);

yt=p1.y*H0(t)+p2.y*H1(t)+r1.y*H2(t)+r2.y*H3(t);

pDC->MoveTo(int(xt+0.5),int(yt+0.5));

for(t=0.1;t<=1.0;t=t+0.1)

{

TRACE(_T("t=%.4f\n"),t);

xt=p1.x*H0(t)+p2.x*H1(t)+r1.x*H2(t)+r2.x*H3(t);

yt=p1.y*H0(t)+p2.y*H1(t)+r1.y*H2(t)+r2.y*H3(t);

pDC->LineTo(int(xt+0.5),int(yt+0.5));

}//for(t=0.1;t<=1.0;t=t+0.1)

}

void Chermite_quxianView::OnLButtonDown(UINT nFlags, CPoint point)

{

// TODO: 在此添加消息处理程序代码和/或调用默认值

m_pnts[m_pntCount]=point;

m_pntCount++;

CPoint r1,r2;

r1.x=100;

r1.y=100;

r2.x=100;

r2.y=-100;

if(m_pntCount>1)

{

CDC *pDC=GetDC();

//draw Hermite

//pDC->MoveTo(m_pnts[m_pntCount-2]);

//pDC->LineTo(m_pnts[m_pntCount-1]);

drawHermite(m_pnts[m_pntCount-2],m_pnts[m_pntCount-1],r1,r2,pDC);

ReleaseDC(pDC);

}

CView::OnLButtonDown(nFlags, point);

}

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