Intersection of Fibers...

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Sushant
Sushant 2022-7-13
评论： Jan 2022-7-13
I have written a code regarding checking for intersection of fibers within the fibers...but there is some errors in it...I am unable to fix it. Kindly help
function FibList=Generatefibers_trial(x,y,z,L,N)
for i=1:1:N
while 1
x1=min(x)+(max(x)-min(x))*rand(1);
y1=min(y)+(max(y)-min(y))*rand(1);
z1=min(z)+(max(z)-min(z))*rand(1);
theta=2*pi*rand(1); %angle
gamma=2*pi*rand(1); %angle
phi=2*pi*rand(1); %angle
Dr=[cos(gamma)*cos(phi)-cos(theta)*sin(gamma)*sin(phi) sin(gamma)*cos(phi)+cos(theta)*cos(gamma)*sin(phi) sin(theta)*sin(phi) ...
; -cos(gamma)*sin(phi)-cos(theta)*sin(gamma)*cos(phi) -sin(gamma)*sin(phi)+cos(theta)*cos(gamma)*cos(phi) sin(theta)*cos(phi) ...
; sin(theta)*sin(gamma) -sin(theta)*cos(gamma) cos(theta) ];
c2=[x1 y1 z1]'+Dr*[L 0 0]';
x2=c2(1);
y2=c2(2);
z2=c2(3);
if x2<=x(2) && x2>=x(1) && y2<=y(2) && y2>=y(1) && z2<=z(2) && z2>=z(1)
break;
end
end
% Coordinates
Fiber(i,1)=x1;
Fiber(i,2)=y1;
Fiber(i,3)=z1;
Fiber(i,4)=x2;
Fiber(i,5)=y2;
Fiber(i,6)=z2;
% Matrix representation of the coordinates generated.
if i==1
FibList=[Fiber(i,1) Fiber(i,2) Fiber(i,3) Fiber(i,4) Fiber(i,5) Fiber(i,6)];
else
NewFib=[Fiber(i,1) Fiber(i,2) Fiber(i,3) Fiber(i,4) Fiber(i,5) Fiber(i,6)];
j=1;
count=0;
while j<i
syms s t
eqn1=s*(FibList(j,4)-FibList(j,1))-t*(NewFib(1,4)-NewFib(1,1)) == NewFib(1,1)-FibList(j,1); % I am getting error in this line.
eqn2=s*(FibList(j,5)-FibList(j,2))-t*(NewFib(1,5)-NewFib(1,2)) == NewFib(1,2)-FibList(j,2);
[A, B] = equationsToMatrix([eqn1, eqn2],[s,t]);
X=linsolve(A,B);
s=vpa(X(1,1));
t=vpa(X(2,1));
%Criteria for checking intersection of 2 line segments in 3D.
if (s>=0 && s<=1)&&(t>=0 && t<=1)&&((s*(FibList(j,6)-FibList(j,3))-t*(NewFib(1,6)-NewFib(1,3))== NewFib(1,3)-FibList(j,3)))
count=count+1;
end
j = j+1;
end
%fprintf('the value of s is %f\n the value of t is %f ',X)
if count==i-1
FibList = [FibList; NewFib];
else
FibList = [FibList];
i = i-1; % this will repeat the loop for the same i value, if the intersection criteria...
%is not fulfilled.
end
end
end
end
Error messgae:
Index exceeds matrix dimensions.
Error in Generatefibers_trial (line 39)
eqn1=s*(FibList(j,4)-FibList(j,1))-t*(NewFib(1,4)-NewFib(1,1)) == NewFib(1,1)-FibList(j,1);
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Sushant
Sushant 2022-7-13
Kindly help me in fixing the error.
Jan
Jan 2022-7-13
Simplify
FibList=[Fiber(i,1) Fiber(i,2) Fiber(i,3) Fiber(i,4) Fiber(i,5) Fiber(i,6)];
to
FibList = Fiber(i, 1:6);
You can use the debugger to stop the execution, when the error occurs. Type in the command window:
dbstop if error
Now run the code again and check the values of the indices, when the error occurs.

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