Why won't my line functions display their lines?
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This function takes in x-, y- and z-coordinates of a plane from X, Y, and Z. Then it imports the coordinates of a cube (centered over the origin) and is supposed to plot a parallel projection of the cube onto the plane (using the point on the plane that I calculate here).
I can't figure out why my line functions at the end won't work, when the ones I use for my drawCuboid() function work just fine.
function drawParProjCuboid(X,Y,Z)
%draw parallel projection of cuboid on oblique plane
%figure;
hold on;
%plane points are within X, Y, & Z
%Get cube points
fid=fopen('inFileCub.txt','r');
R=fscanf(fid,'%f');
for i=1:24
if i>=1 && i<=8
x(i)=R(i);
end
if i>=9 && i<=16
y(i-8)=R(i);
end
if i>=17 && i<=24
z(i-16)=R(i);
end
end
CP1=[x(1);y(1);z(1)];
CP2=[x(2);y(2);z(2)];
CP3=[x(3);y(3);z(3)];
CP4=[x(4);y(4);z(4)];
CP5=[x(5);y(5);z(5)];
CP6=[x(6);y(6);z(6)];
CP7=[x(7);y(7);z(7)];
CP8=[x(8);y(8);z(8)];
%(x-x1)/l = (y-y1)/m = (z-z1)/n
%find point on plane: (x1,y1,z1)
x1=(X(1)-2); y1=(Y(1)-2);
Ax=X(1); Ay=Y(1); Az=Z(1);
Bx=X(2); By=Y(2); Bz=Z(2);
Cx=X(3); Cy=Y(3); Cz=Z(3);
z1a = (Bx-Ax)*(Cz-Az)-(Cx-Ax)*(Bz-Az);
z1b = (Bx-Ax)*(Cy-Ay)-(Cx-Ax)*(By-Ay);
z1c = (By-Ay)*(Cz-Az)-(Cy-Ay)*(Bz-Az);
z1d = (Bx-Ax)*(Cy-Ay)-(Cx-Ax)*(By-Ay);
z1 = Az+(y-Ay)*z1a/z1b-(x-Ax)*z1c/z1d;
%z1=Az+(((Bx-Ax)(Cz-Az)-(Cx-Ax)(Bz-Az))/((Bx-Ax)(Cy-Ay)-(Cx-Ax)(By-Ay)))(y1-Ay)-...
% (((By-Ay)(Cz-Az)-(Cy-Ay)(Bz-Az))/((Bx-Ax)(Cy-Ay)-(Cx-Ax)(By-Ay)))(x1-Ax);
%direction vector
d=[(x1-CP1(1)),(y1-CP1(2)),(z1-CP1(3))];
% This plane's equation:
% t = (x-CP1(1))/d(1) = (y-CP1(2))/d(2) = (z-CP1(3))/d(3)
% PP#(x) = (y1-CP#(2))d(1)/d(2)
% PP#(y) = (z1-CP#(3))d(2)/d(3)
% PP#(z) = (x1-CP#(1))d(3)/d(1)
%Find all parallel-projected point values:
XP=[(d(1)*(y1-CP1(2))/d(2)),(d(1)*(y1-CP2(2))/d(2)),(d(1)*(y1-CP3(2))/d(2)),...
(d(1)*(y1-CP4(2))/d(2)),(d(1)*(y1-CP5(2))/d(2)),(d(1)*(y1-CP6(2))/d(2)),...
(d(1)*(y1-CP7(2))/d(2)),(d(1)*(y1-CP8(2))/d(2))];
YP=[(d(2)*(z1-CP1(3))/d(3)),(d(2)*(z1-CP2(3))/d(3)),(d(2)*(z1-CP3(3))/d(3)),...
(d(2)*(z1-CP4(3))/d(3)),(d(2)*(z1-CP5(3))/d(3)),(d(2)*(z1-CP6(3))/d(3)),...
(d(2)*(z1-CP7(3))/d(3)),(d(2)*(z1-CP8(3))/d(3))];
ZP=[(d(3)*(x1-CP1(1))/d(1)),(d(3)*(x1-CP2(1))/d(1)),(d(3)*(x1-CP3(1))/d(1)),...
(d(3)*(x1-CP4(1))/d(1)),(d(3)*(x1-CP5(1))/d(1)),(d(3)*(x1-CP6(1))/d(1)),...
(d(3)*(x1-CP7(1))/d(1)),(d(3)*(x1-CP8(1))/d(1))];
figure;
line([XP(1) XP(5)],[YP(1) YP(5)],[ZP(1) ZP(5)],'color','m');
line([XP(1) XP(2)],[YP(1) YP(2)],[ZP(1) ZP(2)],'color','m');
line([XP(1) XP(4)],[YP(1) YP(4)],[ZP(1) ZP(4)],'color','m');
line([XP(7) XP(6)],[YP(7) YP(6)],[ZP(7) ZP(6)],'color','m');
line([XP(7) XP(8)],[YP(7) YP(8)],[ZP(7) ZP(8)],'color','m');
line([XP(7) XP(3)],[YP(7) YP(3)],[ZP(7) ZP(3)],'color','m');
line([XP(5) XP(6)],[YP(5) YP(6)],[ZP(5) ZP(6)],'color','m');
line([XP(5) XP(8)],[YP(5) YP(8)],[ZP(5) ZP(8)],'color','m');
line([XP(4) XP(3)],[YP(4) YP(3)],[ZP(4) ZP(3)],'color','m');
line([XP(4) XP(8)],[YP(4) YP(8)],[ZP(4) ZP(8)],'color','m');
line([XP(2) XP(3)],[YP(2) YP(3)],[ZP(2) ZP(3)],'color','m');
line([XP(2) XP(6)],[YP(2) YP(6)],[ZP(2) ZP(6)],'color','m');
end
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