3D bezr Curve, Matlab Code

You should not use it to draw Bezier curve for practical application, because it’s too slow efficiency.

This code is too simple, and not optimized. 

But you can ues it to learn about the Bezier curve.

% % % --------------------------------
% % % Author: begtostudy
% % % Email : begtostudy@gmail.com
% % % --------------------------------
function Q=bezier(P,t)
% Bezier interpolation for given points.
%
%Example:
% P=[292 280 321 356;
% 196 153 140 148;
% -56 75 140 248];
% 
% t=linspace(0,1,100);
% Q3D=Bezier(P,t);
% 
% figure
% plot3(Q3D(1,:),Q3D(2,:),Q3D(3,:),'b','LineWidth',2),
% hold on
% plot3(P(1,:),P(2,:),P(3,:),'g:','LineWidth',2)        % plot control polygon
% plot3(P(1,:),P(2,:),P(3,:),'ro','LineWidth',2)     % plot control points
% view(3);
% box;

for k=1:length(t)
    Q(:,k)=[0 0 0]';
    for j=1:size(P,2)
        Q(:,k)=Q(:,k)+P(:,j)*Bernstein(size(P,2)-1,j-1,t(k));
end
end
end

function B=Bernstein(n,j,t)
    B=factorial(n)/(factorial(j)*factorial(n-j))*(t^j)*(1-t)^(n-j);
end