📄 b-splin_rar - deboor_java.htm
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<TEXTAREA rows=17 cols=105>文件头:
public class DeBoor
{
public static void main(String[] args)
{
DeBoor D=new DeBoor();
double[][] d={{-24,-12,1,10,12},{0,6,8,2,0}};
double[] t={0,0.75,1};
int [] r={4,1,4};
int q=2;
int k=3;
double u=0.5;
double[] w=D.BsplineDrive(d,t,r,q,u,k);
System.out.println(w[0]+" "+w[1]);
}
public double[] BsplineNote(double[] t,int[] r,double u,double[][] d)
{
double x[]=new double[2];
double[][] c=d;
int i=0,k=3;
for(int j=0;j<8;j++)
{
if(u<=knotValue(j+1,t,r)&&u>knotValue(j,t,r))
{
i=j;
break;
}
}
for(int q=1;q<=k;q++)
{
for(int j=i-k;j<=i-q;j++)
{
double alfa=knotValue(j+k+1,t,r)-knotValue(j+1,t,r);
if(alfa==0)alfa=0;
else
alfa=(u-knotValue(j+1,t,r))/alfa;
c[0][j]=(1-alfa)*c[0][j]+alfa*c[0][j+1];
c[1][j]=(1-alfa)*c[1][j]+alfa*c[1][j+1];
}
}
for(int m=0;m<2;m++)
{
x[m]=c[m][i-k];
}
return x;
}
public double[] Bspline</TEXTAREA><BR>
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)&&u>knotValue(j,t,r))
{
i=j;
break;
}
}
//System.out.println(i);
for(int l=1;l<=q;l++)
{
for(int j=i-k;j<=i-l;j++)
{
d[0][j]=(k-l+1)*(d[0][j+1]-d[0][j])/(knotValue(j+k+1,t,r)-knotValue(j+l,t,r));
d[1][j]=(k-l+1)*(d[1][j+1]-d[1][j])/(knotValue(j+k+1,t,r)-knotValue(j+l,t,r));
}
}
for(int j=0;j<=i-q;j++)
//System.out.print(d[0][j]+" "+d[1][j]+" ");
for(int l=1;l<=i-q;l++)
{
for(int j1=0;j1<i-q;j1++)
{
double alfa=knotValue(j1+k+1,t,r)-knotValue(j1+q+1,t,r);
if(alfa==0)alfa=0;
else
alfa=(u-knotValue(j1+q+1,t,r))/alfa;
d[0][j1]=(1-alfa)*d[0][j1]+alfa*d[0][j1+1];
d[1][j1]=(1-alfa)*d[1][j1]+alfa*d[1][j1+1];
}
}
x[0]=d[0][0];x[1]=d[1][0];
return x;
}
public double knotValue(int k,double t[],int r[])
{
int j=1;
double temp=0;
for(int i=0;i<r.length;i++)
{
temp=temp+r[i];
if(temp>k)
{
j=i;
break;
}
}
return t[j];
}
}
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