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Code covered by the BSD License  

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Frenet basis for 3D torsion-curvature based curves

from Frenet basis for 3D torsion-curvature based curves by Paolo Panarese
Given torsion and curvature functions, it computes the curve by solving Frenet differential system.

visualizefrenet(j,x,Tg,Nm,Bn,t, factor, handles) 
function visualizefrenet(j,x,Tg,Nm,Bn,t, factor, handles)
axes(handles.axes1)
hold on
y1 = x+ factor* Tg(1:end-1,:);
y2 = x+ factor* Nm(1:end-1,:);
y3 = x+ factor* Bn(1:end-1,:);
hp = [];

    while j<length(y1) && strncmp(get(handles.stop,'String'), 'Freeze',6)
        j = j+1;
        delete(hp)
        hp(1) = plot3([x(j,1) y1(j,1)], ...
              [x(j,2) y1(j,2)],...
              [x(j,3) y1(j,3)], 'g');
        hp(2) = plot3([x(j,1) y2(j,1)], ...
              [x(j,2) y2(j,2)],...
              [x(j,3) y2(j,3)], 'r');    
        hp(3) = plot3([x(j,1) y3(j,1)], ...
              [x(j,2) y3(j,2)],...
              [x(j,3) y3(j,3)],'y');
        set(hp, 'Linewidth', 3)  
        set(handles.stop, 'Userdata', j)
        pause(t(j+1)-t(j))
        
    end

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