I want to join these cubic hermite curve, how can i do that?
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clear all
a=[1,1,0;4,4,1;7,5,1;15,2,1;6,4,3]
n = input('enter the number of passing points of curve:--->>')
A= zeros(n,n); %n must be greater than 3
for i=2:n-1 % loop from 2nd to (n-1) row A(i,:) = [zeros(1,i-2),[1 4 1],zeros(1,n-i-1)]; %explicit structure of row i end
A(1,1)=1;
A(n,n)=1;
R=[0 0 0; 3*(a(3,:)-a(1,:)); 3*(a(4,:)-a(2,:));3*(a(5,:)-a(3,:));0 0 0];
X=inv(A)
T=X*R;
u=[0:0.01:1]'
U=[u.^3 u.^u u u.^0];
M=[2 -2 1 1;-3 3 -2 -1 ;0 0 1 0;1 0 0 0];
B=[a(1,:);a(2,:);0 0 0;T(2,:)];
P=U*M*B;
plot3(P(:,1),P(:,2),P(:,3));
hold on
B1=[a(2,:);a(3,:);T(2,:);T(3,:)];
P1=U*M*B1;
plot3(P1(:,1),P1(:,2),P1(:,3));
hold on
B=[a(3,:);a(4,:);T(3,:);T(4,:)];
P=U*M*B;
plot3(P(:,1),P(:,2),P(:,3));
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