请问如何在vc画中样条曲线以及求的样条曲线围成的封闭区域的面积呢？

Question

有谁有好的建议？有这方面的源码吗？

Answer 1

void CBSplineView::bezier(CPoint *pp, int n)
{//画Bezier曲线
int x,y,i,j,k=100;
double t,t1,u,v;
double temp,temp1,temp2,bi;

CClientDC dc(this);
OnPrepareDC(&dc); t=1.0/k;
dc.MoveTo(pp[0]);
for(j=1;j<k;j++)
{
t1=j*t;
u=t1;
v=1-u;
x=0;
y=0;
for(i=0;i<=n;i++)
{
temp=double(fac(n)/fac(i)/fac(n-i));
temp1=powi(u,i);
temp2=powi(v,n-i);
bi=temp*temp1*temp2;
x=x+bi*pp[i].x;
y=y+bi*pp[i].y;
}
dc.LineTo(x,y);
}
dc.LineTo(pp[n]);
}
class CPoints : public CObject
{
DECLARE_SERIAL(CPoints) CPoints();           // protected constructor used by dynamic creation// Attributes
public:// Operations
public:
virtual void Serialize(CArchive& ar);
CPoint* GetPoint();
CPoints(CPoint point);
virtual ~CPoints();
CPoints &operator=(CPoints &point)
{
this->m_point=point.m_point;
return *this;
}
BOOL m_bSelected;// Overrides
// ClassWizard generated virtual function overrides
//{{AFX_VIRTUAL(CPoints)
//}}AFX_VIRTUAL// Implementation
protected: // Generated message map functions
//{{AFX_MSG(CPoints)
// NOTE - the ClassWizard will add and remove member functions here.
//}}AFX_MSG
private:
CPoint m_point;
};
IMPLEMENT_SERIAL(CPoints, CObject,2)CPoints::CPoints()
{
m_point.x=0;
m_point.y=0;
m_bSelected=FALSE;
}CPoints::~CPoints()
{
}
/////////////////////////////////////////////////////////////////////////////
// CPoints message handlersCPoints::CPoints(CPoint point)
{
m_point.x=point.x;
m_point.y=point.y;
m_bSelected=FALSE;
}CPoint* CPoints::GetPoint()
{
return &(this->m_point);
}void CPoints::Serialize(CArchive &ar)
{
if(ar.IsStoring())
{
ar<<m_point;
}
else
{
ar>>m_point;
}}

Answer 2

http://community.csdn.net/Expert/topic/3429/3429738.xml?temp=.1533777

Answer 3

http://blog.csdn.net/happyparrot/archive/2004/05/27/21588.aspx
希望对你有所帮助。

Answer 4

如果将闭合曲线区域按垂直方向以一个单位划分，成多边形，然后用 syy64(太平洋)的方法也许能计算出近似值，搂主可以试试