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B-Spline & NURBS (Matlab Code)

Posted on 2010-07-29 16:03  白途思  阅读(954)  评论(0编辑  收藏  举报

There are some errors in the code, anyone can help me to find and tell me?

Thanks a lot!

 

% % % --------------------------------
% % % Author: begtostudy
% % % MSN:begtostudy@hotmail.com
% % % Email : begtostudy@gmail.com
% % % --------------------------------
function Q = bspline( P,U ,t,w)
% B-Spline interpolation for given points.

if (nargin==2)
w=ones(1,size(P,2));
end
for k=1:length(t)
Q(:,k)=[0 0 0]';
rational=0;
for j=1:size(P,2)
tmp=deboor(U,size(P,2)-1,j,t(k));
if (nargin==3)
rational =rational+w(j)*tmp;
end
Q(:,k)=Q(:,k)+w(j)*P(:,j)*tmp;
end
if (nargin==3)
Q(:,k)=Q(:,k)/rational;
end
end
end

function N=deboor(U,k,i,u)
if isequal(k,1)
if (abs(U(i)-U(i+1))<1e-6) && (abs((U(i)-u))<1e-6)
N=1;
elseif u>=U(i) && u<U(i+1)
N=1;
else
N=0;
end
else
N=division(u-U(i),U(i+k)-U(i))*deboor(U,k-1,i,u)...
+division(U(i+k+1)-u,U(i+k+1)-U(i+1))*deboor(U,k-1,i+1,u);
end
end

function d=division(a,b)
if (abs(a)<1e-6) && (abs(b)<1e-6)
d=0;
else
d=a/b;
end
end
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