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function y0=hillsplines3(x0,x,y)
if size(x,1)~=1
    x=x';
end
if size(y,1)~=1
    y=y';
end
[a,t]=hillsplinex(x,y);a=a';t=t';
for i=1:length(t)-4
      phi(i)=powerplus3(x0,t(i:i+4));
end
y0=sum(a.*phi);
function [ax,tx]=hillsplinex(t,y)
h=diff(t);delta=diff(y)./h;n=length(h)+1
d1=pchipendpoint(h(1),h(2),delta(1),delta(2));
dn=pchipendpoint(h(n-1),h(n-2),delta(n-1),delta(n-2));
r=[d1;y';dn];
tx=[t(1)-[1:3]*h(1),t,t(length(t)+[1:3])*h(length(h))];
a=zeros(length(tx)-4,length(tx)-4);
for i=1:3
    a(1,i)=depowerplus3(t(1),tx(i:i+4));
end
for i=length(tx)-6:length(tx)-4
    a(length(tx)-4,i)=depowerplus3(t(length(t)),tx(i:i+4));
end
for j=2:length(tx)-5
     for i=j-1:j+1
         a(j,i)=powerplus3(t(j-1),tx(i:i+4));
     end
end
ax=a\r;tx=tx';
    function y=powerplus3(x,t)
        c=t;
        for i=1:5
            c(i)=[];
            beta(i)=24/prod(t(i)-c);
            c=t;
        end
        powerplus=abs(x-t).^3;
        y=0.5*sum(beta.*powerplus);
        function y=depowerplus3(x,t)
            c=t;
        for i=1:5
             c(i)=[];
            beta(i)=24/prod(t(i)-c);
            c=t;
        end
        powerplus=3*sign(x-t).*(x-t).^2;
        y=0.5*sum(beta.*powerplus);
            function d=pchipendpoint(h1,h2,del1,del2)
            d=((2*h1+h2)*del1-h1*del2)/(h1+h2);
            if sign(d)~=sign(del1)
                d=0;
            elseif(sign(del1)~=sign(del2))&(abs(d)>abs(3*del1))
                d=3*del1;
            end

[ Last edited by huameitang05 on 2011-1-4 at 17:21 ]
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huameitang05(½ð±Ò+1):лл²ÎÓë
huameitang05(½ð±Ò+1):ллÒâ¼û 2011-01-04 19:14:27
xiegangmai(½ð±Ò+2):ÐÁ¿àÁË£¡ 2011-01-07 22:06:47
robert2020(½ð±Ò+2):ÐÁ¿àÁË£¡×î½ü±È½Ï棬ÆÀÌû²»¼°Ê±£¬¾´Çë¼ûÁ£¡ 2011-01-11 10:47:08
ÒýÓûØÌû:
Originally posted by huameitang05 at 2011-01-04 17:13:22:
function y0=hillsplines3(x0,x,y)
if size(x,1)~=1
    x=x';
end
if size(y,1)~=1
    y=y';
end
[a,t]=hillsplinex(x,y);a=a';t=t';
for i=1:length(t)-4
      phi(i)=powerplus3(x0,t(i:i+4));
en ...

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2Â¥2011-01-04 19:06:32
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ysh2225

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huameitang05(½ð±Ò+1):лл²ÎÓë
robert2020(½ð±Ò-2):ΪÁËËûÈ˵ķ½±ã£¬ÇëÎðÔÚÇóÖúÌûÖд¿±íÎÞÒâÒ廨¸´£¡ 2011-01-11 10:47:46

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[ Last edited by ysh2225 on 2011-1-11 at 14:46 ]
4Â¥2011-01-04 19:47:16
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lijinfeng042

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ÒýÓûØÌû:
Originally posted by huameitang05 at 2011-01-04 17:13:22:
function y0=hillsplines3(x0,x,y)
if size(x,1)~=1
    x=x';
end
if size(y,1)~=1
    y=y';
end
[a,t]=hillsplinex(x,y);a=a';t=t';
for i=1:length(t)-4
      phi(i)=powerplus3(x0,t(i:i+4));
en ...

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5Â¥2011-01-04 19:49:24
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honeypirl

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6Â¥2011-02-28 21:36:36
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