编写二次插值样条曲线生成函数，然后利用该函数根据自己设计的型值点绘制出相应的曲线图形。

// erView.cpp : implementation of the CErView class
//#include "stdafx.h"
#include "er.h"#include "erDoc.h"
#include "erView.h"#ifdef _DEBUG
#define new DEBUG_NEW
#undef THIS_FILE
static char THIS_FILE[] = __FILE__;
#endif/
// CErView
void er(POINT *p,int n,CDC* pDC)
{int x,y,i,j,k=10;double t1,t2,t3,t,a,b,c,d;p[0].x=p[1].x;p[0].y=p[1].y;p[n+1].x=p[n].x;p[n+1].y=p[n].y;t=0.5/k;pDC->MoveTo(p[1].x,p[1].y);for(i=1;i<n;i++){for(j=1;j<k;j++){t1=j*t;t2=t1*t1;t3=t1*t2;a=4.0*t2-t1-4.0*t3;		b=1.0-10.0*t2+12.0*t3;	c=t1+8.0*t2-12.0*t3;	d=4.0*t3-2.0*t2;		x=(int)(a*p[i-1].x+b*p[i].x+c*p[i+1].x+d*p[i+2].x);y=(int)(a*p[i-1].y+b*p[i].y+c*p[i+1].y+d*p[i+2].y);pDC->LineTo(x,y);}pDC->LineTo(p[i+1].x,p[i+1].y);}
}IMPLEMENT_DYNCREATE(CErView, CView)BEGIN_MESSAGE_MAP(CErView, CView)//{{AFX_MSG_MAP(CErView)// NOTE - the ClassWizard will add and remove mapping macros here.//    DO NOT EDIT what you see in these blocks of generated code!//}}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()/
// CErView construction/destructionCErView::CErView()
{// TODO: add construction code here}CErView::~CErView()
{
}BOOL CErView::PreCreateWindow(CREATESTRUCT& cs)
{// TODO: Modify the Window class or styles here by modifying//  the CREATESTRUCT csreturn CView::PreCreateWindow(cs);
}/
// CErView drawingvoid CErView::OnDraw(CDC* pDC)
{CErDoc* pDoc = GetDocument();ASSERT_VALID(pDoc);// TODO: add draw code for native data hereint n=4;POINT ps[6];ps[1].x=25;ps[1].y=400;ps[2].x=100;ps[2].y=100;ps[3].x=175;ps[3].y=400;ps[4].x=250;ps[4].y=100;er(ps,n,pDC);}/
// CErView printingBOOL CErView::OnPreparePrinting(CPrintInfo* pInfo)
{// default preparationreturn DoPreparePrinting(pInfo);
}void CErView::OnBeginPrinting(CDC* /*pDC*/, CPrintInfo* /*pInfo*/)
{// TODO: add extra initialization before printing
}void CErView::OnEndPrinting(CDC* /*pDC*/, CPrintInfo* /*pInfo*/)
{// TODO: add cleanup after printing
}/
// CErView diagnostics#ifdef _DEBUG
void CErView::AssertValid() const
{CView::AssertValid();
}void CErView::Dump(CDumpContext& dc) const
{CView::Dump(dc);
}CErDoc* CErView::GetDocument() // non-debug version is inline
{ASSERT(m_pDocument->IsKindOf(RUNTIME_CLASS(CErDoc)));return (CErDoc*)m_pDocument;
}
#endif //_DEBUG/
// CErView message handlers

编写任意阶次的Bezier曲线生成函数，然后利用该函数根据自己设计的控制点绘制出相应的曲线图形。

// renView.cpp : implementation of the CRenView class
//#include "stdafx.h"
#include "ren.h"#include "renDoc.h"
#include "renView.h"#ifdef _DEBUG
#define new DEBUG_NEW
#undef THIS_FILE
static char THIS_FILE[] = __FILE__;
#endif/
// CRenView
double powi(double v,int k){double temp=1.0;if(k==0||v==0)return 1;else {for(int i=1;i<=k;i++)temp=temp*v;}return temp;}long fac(int m){int i;long temp=1;if(m==1)return 1;else {for(i=2;i<=m;i++)temp=temp*i;}return temp;}void Bezier(POINT *p,int n,CDC *pDC){int x,y,i,j,k=100;double t=1.0/k,t1,u,v;double temp,temp1,temp2,bi;pDC->MoveTo(p[0].x,p[0].y);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*p[i].x;y=y+bi*p[i].y;}pDC->LineTo(x,y);}pDC->LineTo(p[n].x,p[n].y);}IMPLEMENT_DYNCREATE(CRenView, CView)BEGIN_MESSAGE_MAP(CRenView, CView)//{{AFX_MSG_MAP(CRenView)// NOTE - the ClassWizard will add and remove mapping macros here.//    DO NOT EDIT what you see in these blocks of generated code!//}}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()/
// CRenView construction/destructionCRenView::CRenView()
{// TODO: add construction code here}CRenView::~CRenView()
{
}BOOL CRenView::PreCreateWindow(CREATESTRUCT& cs)
{// TODO: Modify the Window class or styles here by modifying//  the CREATESTRUCT csreturn CView::PreCreateWindow(cs);
}/
// CRenView drawingvoid CRenView::OnDraw(CDC* pDC)
{CRenDoc* pDoc = GetDocument();ASSERT_VALID(pDoc);int n=5;CPoint ps[6]={CPoint(25,400),CPoint(100,100),CPoint(170,400),CPoint(250,20),CPoint(450,300),CPoint(350,400)};CPen pen1(PS_DASHDOT,1,RGB(28,28,28));pDC->SelectObject(&pen1);pDC->Polyline(ps,6);CPen pen2(PS_DASHDOT,2,RGB(255,0,0));pDC->SelectObject(&pen2);Bezier(ps,n,pDC);
} /
// CRenView printingBOOL CRenView::OnPreparePrinting(CPrintInfo* pInfo)
{// default preparationreturn DoPreparePrinting(pInfo);
}void CRenView::OnBeginPrinting(CDC* /*pDC*/, CPrintInfo* /*pInfo*/)
{// TODO: add extra initialization before printing
}void CRenView::OnEndPrinting(CDC* /*pDC*/, CPrintInfo* /*pInfo*/)
{// TODO: add cleanup after printing
}/
// CRenView diagnostics#ifdef _DEBUG
void CRenView::AssertValid() const
{CView::AssertValid();
}void CRenView::Dump(CDumpContext& dc) const
{CView::Dump(dc);
}CRenDoc* CRenView::GetDocument() // non-debug version is inline
{ASSERT(m_pDocument->IsKindOf(RUNTIME_CLASS(CRenDoc)));return (CRenDoc*)m_pDocument;
}
#endif //_DEBUG/
// CRenView message handlers

编写三次B样条曲线生成函数，然后利用该函数根据自己设计的控制点绘制出相应的曲线图形。

// sanView.cpp : implementation of the CSanView class
//#include "stdafx.h"
#include "san.h"#include "sanDoc.h"
#include "sanView.h"#ifdef _DEBUG
#define new DEBUG_NEW
#undef THIS_FILE
static char THIS_FILE[] = __FILE__;
#endif/
// CSanView
void BSpLine(POINT *p,int n,CDC* pDC)
{int x,y,i,j,k=1000;double t,t1,t2,t3,a,b,c,d;t=1.0/k;p[0].x=2*p[1].x-p[2].x;p[0].y=2*p[1].y-p[2].y;p[n].x=2*p[n-1].x-p[n-2].x;p[n].y=2*p[n-1].y-p[n-2].y;pDC->MoveTo(p[1].x,p[1].y);for(i=1;i<n-1;i++)for(j=1;j<=k;j++){t1=j*t;t2=t1*t1;t3=t2*t1;a=(3*t2-t3-3*t1+1)/6;b=(3*t3-6*t2+4)/6;c=(3*t2-3*t3+3*t1+1)/6;d=t3/6;x=int(a*p[i-1].x+b*p[i].x+c*p[i+1].x+d*p[i+2].x);y=int(a*p[i-1].y+b*p[i].y+c*p[i+1].y+d*p[i+2].y);pDC->LineTo(x,y);}
}IMPLEMENT_DYNCREATE(CSanView, CView)BEGIN_MESSAGE_MAP(CSanView, CView)//{{AFX_MSG_MAP(CSanView)// NOTE - the ClassWizard will add and remove mapping macros here.//    DO NOT EDIT what you see in these blocks of generated code!//}}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()/
// CSanView construction/destructionCSanView::CSanView()
{// TODO: add construction code here}CSanView::~CSanView()
{
}BOOL CSanView::PreCreateWindow(CREATESTRUCT& cs)
{// TODO: Modify the Window class or styles here by modifying//  the CREATESTRUCT csreturn CView::PreCreateWindow(cs);
}/
// CSanView drawingvoid CSanView::OnDraw(CDC* pDC)
{CSanDoc* pDoc = GetDocument();ASSERT_VALID(pDoc);// TODO: add draw code for native data hereint n=5;POINT ps[6];ps[1].x=350;ps[1].y=250;ps[2].x=500;ps[2].y=20;ps[3].x=600;ps[3].y=250;ps[4].x=750;ps[4].y=30;CPen pen1(PS_DASHDOT,2,RGB(0,0,255));pDC->SelectObject(&pen1);BSpLine(ps,n,pDC);CPen pen2(PS_DASHDOT,1,RGB(28,28,28));pDC->SelectObject(&pen2);pDC->Polyline(ps,6);} /
// CSanView printingBOOL CSanView::OnPreparePrinting(CPrintInfo* pInfo)
{// default preparationreturn DoPreparePrinting(pInfo);
}void CSanView::OnBeginPrinting(CDC* /*pDC*/, CPrintInfo* /*pInfo*/)
{// TODO: add extra initialization before printing
}void CSanView::OnEndPrinting(CDC* /*pDC*/, CPrintInfo* /*pInfo*/)
{// TODO: add cleanup after printing
}/
// CSanView diagnostics#ifdef _DEBUG
void CSanView::AssertValid() const
{CView::AssertValid();
}void CSanView::Dump(CDumpContext& dc) const
{CView::Dump(dc);
}CSanDoc* CSanView::GetDocument() // non-debug version is inline
{ASSERT(m_pDocument->IsKindOf(RUNTIME_CLASS(CSanDoc)));return (CSanDoc*)m_pDocument;
}
#endif //_DEBUG/
// CSanView message handlers